ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. ·...

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Transcript of ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. ·...

Page 1: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

 

Page 2: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

 

Page 3: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

 

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Page 4: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

International  Workshop  on  Quantum  Control  of  Electrons  on  Liquid  Helium  and  Other  Low-­‐Dimensional  Systems  

 December  15–16,  2014  

Lecture  Room  353,  Science  Building  III,  National  Chiao  Tung  University    (交通大學基礎科學大樓)  

 December  15  (Monday)  09:00  –  09:20  

Registration   Title  of  talk  

  Chair:  Prof.  Juhn-­‐Jong  Lin  (NCTU)  

 

09:20  –  09:30  

Prof.  Juhn-­‐Jong  Lin    (NCTU)  

Opening    

09:30  –  10:00  

Prof.  Kimitoshi  Kono  (RIKEN)  

An  Introduction  to  Electrons  on  Helium  

10:00  –  11:00  

Prof.  Steve  Lyon  (Princeton  University)  

Mobile  Spin  Qubits:  Silicon  ICs  meet  Superfluid  Helium  

11:00  –  11:20  

Coffee  break    

  Chair:    Dr.  Kostya  Nasyedkin  (RIKEN)  

 

11:20  –  12:20  

Prof.  Tse-­‐Ming  Chen  (NCKU)  

Spin-­‐orbit  Coupling  and  the  Realization  of  Spin  Transistors  

     12:20  –  14:00  

Lunch    

        Chair:  Dr.  Shao-­‐Pin  

Chiu  (NCTU)    

14:00  –  15:00  

Niyaz  Beysengulov    (RIKEN)  

Influence  of  Confinement  on  the  Melting  of  Quasi-­‐1D  Wigner  Crystals    

15:00  –  15:30  

Prof.  Jiunn-­‐Yuan  Lin  (NCTU)  

Coexistence  of  Ferromagnetism  and  d-­‐wave  superconductivity  in  YBa2Cu3O7-­‐x/  La0.7Ca0.3MnO3  bilayer  

15:30  –  15:50  

Coffee  break    

  Chair:  Dr.  Yu-­‐Chen  Sun  (RIKEN)  

 

15:50  –  16:50  

Dr.  Alexander  Badrutdinov  (OIST)  

Hysteretic  Transport  Properties  of  Surface  Electrons  on  Helium  in  Quasi-­‐1D  Geometry  

16:50  –  17:20  

Dr.  Petr  Moroshkin  (RIKEN)  

Laser  Spectroscopy  of  Ba+  Ions  in  Superfluid  He  

     18:30  –  20:30  

Banquet    

Page 5: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

 December  16  (Tuesday)     Speaker   Title  of  talk     Chair:    

Dr.  Kimitoshi  Kono  (RIKEN)  

 

09:00  –  10:00  

Prof.  Francois  Peeters  (University  of  Antwerp)  

Correlated  Electrons  in  Nanostructured  Systems  

10:00  –  10:30  

Chun-­‐Shuo  Tsao    (NCTU)  

A  New  Type  of  Structural  Transition  in  a  Quasi-­‐One-­‐Dimensional  Wigner  Crystal    

10:30  –  10:50  

Coffee  break    

  Chair:  Dr.  Sheng-­‐Shiuan  Yeh  (NCTU)  

 

10:50  –  11:40  

Prof.  Denis  Konstantinov  (OIST)  

Magneto-­‐transport  in  Electrons  on  Helium  under  Cyclotron-­‐Resonance  Excitation  

11:40  –  12:10  

Dr.  Leonid  Abdurakhimov  (OIST)  

Microwave  Study  of  Surface  Electrons  on  Liquid  Helium  in  a  Fabry-­‐Perot  Cavity  

     12:10  –  13:30  

Lunch    

     13:30  –  15:00  

Lab  tours  and  free  discussion  

 

15:00  –  21:00  

Excursion  to  Hakka  village  

 

                                         

Page 6: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

An  introduction  to  electrons  on  helium  

K.  Kono1,2  

1RIKEN  CEMS,  Japan,  2NCTU,  Taiwan  

 

Surface  state  electrons  (SSE)  on  liquid  helium  have  been  studied  since  early  70s.    

This   system   is  one  of   the   cleanest   low  dimensional   electron   systems.    The  SSE  

have   their  solid-­‐state  counterparts   in  MOSFETs,  quantum  wires,  quantum  dots,  

and  so  on.    One  can  find  much  similarity  between  the  SSE  and  the  counterparts.    I  

will  describe  a  brief  overview  of  the  SSE,   in  particular,   from  the  dimensionality  

viewpoint.  

                                                                   

Page 7: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Mobile  Spin  Qubits:  Silicon  ICs  meet  Superfluid  Helium  

S.  Lyon  

Princeton  University,  U.S.A.  

 

There   has   been   a   great   deal   of   interest   over   the   last   decade   in   developing   a  

technology   for   constructing   quantum   information   processors.    Devices   which  

operate  on  quantum  bits  (or  qubits)  are  so  different  from  conventional  classical  

devices   that   approaches   from   almost   all   branches   of   physics   are   being  

considered.    However,  it  is  also  becoming  clear  that  a  useful  quantum  computer  

will   require   at   least   thousands   and   probably   millions   of   qubits   and   quantum  

gates.    That   realization   is   driving   many   schemes   to   find   a   way   to   utilize  

semiconductor   technology   for   scaling.   One   approach   which   maps   almost  

perfectly   onto   silicon   technology   is   to   use   electrons   floating   on   the   surface   of  

superfluid   helium   as   spin   qubits.    Starting   from   a   conventional   CMOS   foundry  

process,   specially   designed   and   processed   silicon   ICs   have   been   used   to  

transport   electrons   across   a   helium   surface.    Charge   coupled   devices   with  

essentially  perfect   charge   transfer  efficiency  have  been  demonstrated,  down   to  

the   level   of   one   electron   per   pixel.    These   and   related   experiments   will   be  

discussed,  as  well  as  some  of  the  challenges  which  lie  ahead  for  developing  a  full  

quantum  device  technology.  

                                     

Page 8: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Spin-­‐orbit  coupling  and  the  realization  of  spin  transistors  

T.-­‐M.  Chen  

National  Cheng  Kung  University,  Taiwan  

 

The  spin  field  effect  transistor  (FET)  envisioned  by  Datta  and  Das  opens  a  

gateway  to  spin  information  processing.  Although  the  coherent  manipulation  of  

electron  spins  in  semiconductors  is  now  possible,  the  realization  of  a  functional  

spin  FET  for  information  processing  has  yet  to  be  achieved,  owing  to  several  

fundamental  challenges  such  as  the  low  spin-­‐injection  efficiency  due  to  

resistance  mismatch,  the  spin  relaxation,  and  the  spread  of  spin  precession  

angles.  Here  I  will  review  the  recent  advances  in  this  field  and  present  our  

contributions  to  the  realization  of  spin  FETs.  

                                                             

Page 9: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Influence  of  Confinement  on  the  Melting  of  Quasi-­‐1D  Wigner  Crystals  

N.  R.  Beysengulov  1,2  1RIKEN  CEMS,  Japan,  2Kazan  Federal  University,  Russia  

 

The   melting   of   many-­‐body   systems   in   constricted   geometries   is   of  

importance  in  a  wide  range  of  research  areas,  such  as  cold  atoms,  colloids,  

quantum   wires   and   carbon   nanotubes.   For   a   particular   system,   the  

mechanism   of  melting   depends   on   the   interaction   between   the   particles  

that   form   the   crystal   lattice,   leading   to   an   inability   to   build   a   general  

theory   of   solid-­‐liquid  phase   transitions.  However,   a   detailed  microscopic  

description  of  melting  in  two  dimensions  (2D)  based  on  the  dissociation  of  

pairs  of  topological  defects  close  to  the  melting  point  has  been  developed  

by   Kosterlitz   and   Thouless,   and   Halperin,   Nelson   and   Young   (KTHNY  

theory).   Here   we   present   transport   measurements   of   a   model   Coulomb  

system,   electrons   trapped   on   the   surface   of   liquid   helium,   in   a  

microchannel   with   fully   controllable   confinement   parameters.   We  

demonstrate   that   the   electron   transport   is   uniquely   sensitive   to   the  

particle  ordering,  which  allows  us  to  investigate  the  melting  of  the  electron  

lattice   whilst   continuously   varying   the   system   dimensionality,   from   the  

quasi-­‐2D  case  to  the  limit  of  the  single  electron  chain.  By  controlling  both  

the   particle   density   and   the   effective   width   of   the   microchannel   we  

determine  a  phase  diagram  for  the  quasi-­‐1D  electron  system.  We  find  that  

the  phase  boundary  between  the  electron  liquid  and  Wigner  crystal  states  

exhibits  a  series  of  fringes,  each  corresponding  to  a  commensurate  state  of  

the  electron  lattice  with  the  confinement  geometry.  This  allows  us  to  count  

the  number  of  electron  rows  formed  in  the  microchannel.  We  find  that  the  

melting  is  suppressed  with  increasing  confinement,  with  the  interelectron  

spacing  at  melting  for  the  single  chain  much  larger  than  in  the  2D  case.  Our  

results  can  be  compared  with  other  classical  or  quantum  phase  transitions  

in  confined  geometry.      

 

Page 10: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Coexistence  of  ferromagnetism  and  d-­‐wave  superconductivity  in  YBa2Cu3O7-­‐x/  La0.7Ca0.3MnO3  bilayer  

J.-­‐Y.  Lin1,2,  Shih-­‐Wen  Huang2,  3,  L.  Andrew  Wray1,  Horng-­‐Tay  Jeng4,  5,  V.  T.  Tra1,  J.  M.  Lee6,  M.  C.  Langner3,  J.  M.  Chen6,  S.  Roy2,  Y.  H.  Chu5,7,  R.  W.  Schoenlein3,  and  Yi-­‐De  Chuang2  1Institute  of  Physics,  National  Chiao  Tung  University,  Hsinchu  30010,  Taiwan  2Advanced  Light  Source,  Lawrence  Berkeley  National  Laboratory,  Berkeley,  CA      94720,  USA    3Materials  Sciences  Division,  Lawrence  Berkeley  National  Laboratory,  Berkeley,    CA  94720,  USA    4Department   of   Physics,   National   Tsing   Hua   University,   Hsinchu   30013,   Taiwan  5Institute  of  Physics,  Academia  Sinica,  Taipei  11529,  Taiwan    6National  Synchrotron  Radiation  Research  Center,  Hsinchu  30076,  Taiwan    7Department   of   Materials   Science   and   Engineering,   National   Chiao   Tung  University,  Hsinchu  30010,  Taiwan    Ferromagnetism   and   d-­‐wave   superconductivity   are   often   regarded   as  

incompatible   to   each   other.   With   no   crystalline   materials   showing   the  

coexistence   of   these   two   orders,   studying   their   mutual   interactions   remains  

restrictive   to   date.   However,   such   studies   can   be   performed   on  

cuprate/manganite   heterostructures  where   these   two   orders   are   brought   into  

proximity.   Here   we   show   the   coexistence   of   ferromagnetism   and   d-­‐wave  

superconductivity  in  bulk  superconducting  YBa2Cu3O7-­‐x  (YBCO)  grown  on  top  of  

ferromagnetic   La0.7Ca0.3MnO3   (LCMO).   The   coexistence   is   present   with   MnO2  

interfacial   termination,   but   absent  with   La0.7Ca0.3O   interfacial   termination.   The  

difference  originates  from  distinct  energetics  of  CuO  chain  and  CuO2  plane  next  

to   LCMO   layer   at   these   two   interfaces   such   that   the   spin-­‐polarized   electrons  

transferred  from  manganites  to  cuprates  are  influenced  differently.  As  such,  the  

ferromagnetic   coupling   inside   YBCO   layer   can   be   sustained   by   the   enhanced  

double-­‐exchange  interaction.  Our  findings  demonstrate  the  far-­‐reaching  impacts  

of   interfacial   interactions   to   bulk   physical   properties,   and   open   up   a   new  

paradigm   of   using   nanoscale   heterogeneity   to   study   the   competing   quantum  

orders  in  correlated  electron  systems.  

 

 

 

 

 

Page 11: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Hysteretic  transport  properties  of  surface  electrons  on  helium  in  quasi-­‐1D  

geometry  

A.  Badrutdinov  

Okinawa  Institute  of  Science  and  Technology,  Japan  

 

We   report   about   recent   experiments   where   transport   properties   of   surface  

electrons   on   helium   in   quasi-­‐1D   geometry   have   been   studied.  We   have   found  

that   the   current   of   surface   electrons   through   a   long   channel   has   a   strongly  

hysteretic   dependence   on   temperature   below   0.5   K.   Upon   cooling   down   a  

pronounced  minimum  of  the  current  is  observed  at  about  20  mK.  Upon  warming  

up   the   current   is   suppressed   in   a  broad   temperature   range  up   to  0.5  K.   In   the  

range  of   suppression   the  current  either  drops   to  zero,  or  develops  an  unstable  

behavior,   characterized   by   an   increased   noise   and   occasional   fluctuations.   The  

phenomenon  is  sensitive  to  the  potential  in  the  channel,  indicating  importance  of  

the  confinement.  Preliminary  analysis  suggests  that  formation  of  the  self-­‐trapped  

(polaronic)  state  of  surface  electrons  might  be  relevant.  

                                                 

Page 12: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Laser  spectroscopy  of  Ba+  ions  in  superfluid  He  

P.  Moroshkin1,  R.  Batulin1,2,  K.  Kono1  

1RIKEN  CEMS,  Japan,  2Kazan  Federal  University,  Russia  

 

Free  electrons  and  He+  ions  trapped  at  the  surface  of  liquid  He  represent  a  model  

two-­‐dimensional  electronic  system  that  is  widely  used  in  experiments.  They  also  

serve   as   probes   for   the   properties   and   excitations   of   the   free   surface   of   the  

superfluid.   Much   less   is   known   about   the   properties   of   foreign   atomic   ions  

interacting  with  the  liquid  He  surface.  In  contrast  to  free  electrons  and  He+  ions,  

the   ions   of   various   metallic   elements   can   be   observed   and   manipulated   by  

methods   of   laser   spectroscopy   that   offers   exciting   new   perspectives   for   the  

entire  field  of  2D  electronic  systems  at  liquid  He  surfaces.  

  Recently,   we   have   proposed   [1]   to   trap   Ba+   ions   under   the   surface   of  

superfluid  He  and  use  their  spins  as  a  probe  for  surface  excitations.  It  is  expected  

[2]   that   in   superfluid   3He-­‐B   the   relaxation   of   the   spins   may   depend   on   their  

initial  orientation  with  respect   to   the  surface.  Such  dependence  would   indicate  

the  existence  of  a  quasiparticle  possessing  the  properties  of  Majorana  fermion.  

  In   my   talk,   I   will   discuss   the   properties   of   impurity   ions   embedded   in  

superfluid  He  and  present  our  recent  experiments  on  the  injection  of  Ba+  ions  in  

superfluid  4He  and  their  detection  by  the  methods  of  laser  spectroscopy.  

[1]    R.  Batulin  et  al.,  J.  Low  Temp.  Phys.  175,  63  (2014)  

[2]    S.  B.  Chung,  S.  C.  Zhang,  Phys.  Rev.  Lett.  103,  235301  (2009)  

 

 

 

 

 

 

 

 

 

 

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Correlated  electrons  in  nanostructured  systems  

F.  M.  Peeters  

Departement  Fysica,  Universiteit  Antwerpen,  B-­‐2020  Antwerpen,  Belgium  

 

Using   Monte   Carlo   techniques,   molecular   dynamics   simulations   and   analytical  

approaches,   correlation   between   particles   in   nanostructured   systems   were  

investigated.   The   possible   ordered   structures   and   phase   transitions   between  

them  were  investigated.  For  example,  a  Mendeleev-­‐type  table  for  classical  atoms  

was  obtained  and  a  phase  diagram  for  quasi-­‐one-­‐dimensional  confined  systems.  

The   latter   exhibits   a   remarkable   lane   formation  where  with   increasing  density  

the  following  ordering  of  lanes  was  found:  1  à  2  à  4  à  3  à  4  à  5  à  ….  

The  diffusion  of  particles  confined  into  wire-­‐like  structures  were  studied.  At  low  

density  single  file  diffusion  behaviour  is  found  with  its  typical  time  dependence.  

With   increasing   particle   density   a   smooth   transition   from   1D   to   2D   diffusion  

occurs.  The  presence  of  a  periodic  potential  along  the  wire  has  an  impact  on  this  

diffusive  behaviour.  

A  local  constriction  along  the  wire  pins  the  correlated  state  of  the  particles.  We  

found   that   friction   together   with   the   constriction   pins   the   particles   up   to   a  

critical   value   of   the   driving   force.   The   system   can   depin   elastically   or  

quasielastically   depending   on   the   strength   of   the   constriction.   The   elastic-­‐

quasielastic   depinning   is   characterized   by   a   critical   exponent.   The   dc  

conductivity  is  zero  in  the  pinned  regime,  it  has  non-­‐Ohmic  characteristics  after  

the   activation   of   the   motion   and   then   it   is   constant.   Furthermore,   the  

dependence   of   the   conductivity   with   temperature   and   strength   of   the  

constriction  was  investigated  in  detail.  We  found  interesting  differences  between  

the  single-­‐chain  and  the  multichain  regimes  as  temperature  is  increased.  

The   above   classical   systems   exhibit   a   rich   amount   of   physics   which   illustrate  

basic  concepts  in  solid  state  physics.  Presently,  several  experimental  realizations  

of  such  a  classical  system  exists:  colloidal  particles,  dusty  plasma’s,  electrons  on  

liquid  helium,  little  metallic  balls  between  two  condensator  plates,  quantum  dots  

in  high  magnetic  fields,  …  

   

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A  new  type  of  structure  transition  in  quasi-­‐one-­‐dimensional  Wigner  crystal  

C.-­‐S.  Tsao  

National  Chiao  Tung  University,  Taiwan  

 

We  studied  theoretically  the  properties  of  a  quasi-­‐one-­‐dimensional  Wigner  

crystal  of  charged  particles.  Following  the  study  by  Peeters  group,  we  obtained  

the  ground  state  structure  as  a  function  of  the  linear  density  up  to  20-­‐row  

structure.  It  is  already  pointed  out  that  the  number  of  chains  grows  as  

1à2à4à3à4à5à6…,  as  we  increase  the  density.  The  transition  from  2  to  4  is  

attributed  to  so  called  the  “zig-­‐zag”  transition.  Except  this  irregular  transition,  

the  number  of  chains  is  believed  to  increase  by  one.  In  our  study,  we  found  that  

there  exists  another  irregular  transition  8à13  in  a  high  density  regime.  We  

discuss  the  structural  change  and  the  melting  behavior  around  the  density  at  

which  this  new  irregular  transition  takes  place.  We  also  examine  the  possible  

correspondence  between  the  irregular  transition  and  a  recent  experiment  by  

Rees.    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Page 15: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Magneto-­‐transport  in  electrons  on  helium  under  cyclotron-­‐resonance  

excitation  

D.  Konstantinov  

Quantum  Dynamics  Unit,  OIST  Graduate  University,  Okinawa,  Japan  

   

Recently  there  has  been  a  surge  of  interest  in  magneto-­‐transport  phenomena  in  

two-­‐dimensional   (2D)   electron   systems   subjected   to   perpendicular   magnetic  

field  and  electro-­‐magnetic  radiation.  In  particular,  microwave-­‐induced  resistance  

oscillations  and  zero-­‐resistance  states  (ZRS)  has  been  observed  in  high-­‐mobility  

semiconductor  heterostructures  and  in  2D  electrons  on  liquid  helium  [1,2].  It  is  

believed  that  in  both  systems  electrons  are  driven  into  ZRS  state  by  instability  of  

a  negative-­‐dc-­‐conductivity  state.  

Cyclotron   resonance   of   2D   electrons   provides   one   of   the   well   understood  

examples   of   resonant   interaction   between   electro-­‐magnetic   radiation   and   a  

system  of  charged  carriers.  However,   its  effect  on  carrier  transport  can  be  very  

non-­‐trivial.   Typically,   the   cyclotron   excitation   causes   only   transitions   between  

adjacent  Landau  levels,  and  the  cyclotron  resonance  induces  strong  overheating  

of   the   electron   system   as   photo-­‐excited   electrons   climb   up   the   equidistant  

Landau   energy   spectrum.   Our   recent   study   of   electrons   on   helium   under  

cyclotron   resonance   excitation   showed   an   unusually   large   expansion   of   the  

electron   system   in   a   lateral   direction,   which   is   hard   to   understand   in   the  

conventional   framework   of   the   effective   electron   temperature   approximation  

[3].  Recently,   it   has  been   suggested   that  photon-­‐assisted   scattering   can   lead   to  

negative  absolute  conductivity  and  associated  with   it   instability  of   the  electron  

system   under   cyclotron-­‐resonance   excitation,   which   could   explain   this   usually  

large  expansion  of  the  electron  system  [4].  We  analyze  our  experimental  data  in  

the   framework   of   the   proposed   theory   and   consider   possibility   for   such  

instability.  

   [1]  R.  Mani  et  al.  Nature  420,  646  (2002);  I.  A.  Dmitriev  et  al.  Rev.  Mod.  Phys.  84,  1709  (2012).  [2]  D.  Konstantinov,  K.  Kono,  Phys.  Rev.  Lett.  105,  226801  (2010).  [3]  A.  O.  Badrutdinov,  L.  V.  Abdurakhimov,  D.  Konstantinov,  Phys.  Rev.  B  90,  075305  (2014).  [4]  Yu.  P.  Monarkha,  private  communication.          

Page 16: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Microwave  study  of  surface  electrons  on  liquid  helium  in  a  Fabry-­‐Perot  

cavity  

L.  Abdurakhimov,  W.  Powell,  D.  Konstantinov  

Okinawa  Institute  of  Science  and  Technology,  Japan  

 

We  report  preliminary   results  of  microwave  absorption  measurements   in   two-­‐

dimensional  electron  system  on  the  surface  of  superfluid  helium-­‐4.  To  enhance  

measurement  sensitivity,  experiments  were  performed  in  a  horizontally  oriented  

Fabry-­‐Perot  cavity  consisted  of  two  copper  spherical  mirrors.  Surface  electrons  

were   placed   near   the   axis   of   the   cavity.   In   consistence   with   the   previous  

experiments,  two  features  of  surface-­‐state  electron  microwave  absorption  were  

observed.  When   the  electron   layer  was  placed   far  enough   from   the   cavity  axis,  

absorption   peak   had   an   asymmetric   shape.  When   the   surface   of   liquid   helium  

was  close  to  the  axis,  the  absorption  spectrum  had  multiple-­‐peak  structure.    

Also,  in  microwave  studies  of  the  liquid  helium  surface  without  electrons,  it  was  

observed   that  microwave   power   reflected   from   the   cavity  was   oscillating  with  

time   when   the   experimental   cell   was   subjected   to   mechanical   vibrations.   We  

suppose   that   observed   sensitivity   to  mechanical   oscillations   can   be   caused   by  

coupling   between   surface   waves   on   liquid   helium   and   microwave   radiation  

inside  the  Fabry-­‐Perot  resonator.  

                                     

Page 17: ry n - National Center for Theoretical Sciences, Physics · 2015. 4. 14. · Mobile*Spin*Qubits:*Silicon*ICsmeet*Superfluid*Helium* S.Lyon! Princeton’University,U.S.A.’ ’ Therehasbeena!great!deal!ofinterest!overthelast

Offices  for  Workshop  Participants    Office  space  is  available  on  the  4th  floor  for  those  participants  visiting  from  overseas.  Your  room  number  is  listed  below.  If  you  would  like  to  use  your  office,  please  ask  the  organisers  for  the  key.    Room   Dates     Name           Affiliation    415.1   15-­‐19  Dec   Petr  Moroshkin       RIKEN,  Japan  415.2   15-­‐19  Dec   Kostya  Konstantin       RIKEN,  Japan  417   15-­‐17  Dec   Denis  Konstantinov       OIST,  Japan  418.1   15-­‐20  Dec   Niyaz  Beysengulov       RIKEN,  Japan  418.2   15-­‐20  Dec   Yu-­‐Chen  Sun         RIKEN,  Japan  419   15-­‐17  Dec   Alexander  Badrutdinov     OIST,  Japan  420   15-­‐17  Dec   Francois  Peeters       University  of  Antwerp  421.1    15-­‐17  Dec   William  Powell       OIST,  Japan  421.2    15-­‐17  Dec   Jui-­‐Yin  Lin         OIST,  Japan  422   11-­‐17  Dec   Steve  Lyon         Princeton,  U.S.A.  426   15-­‐28  Dec   Kimitoshi  Kono       RIKEN,  Japan  430   15-­‐17  Dec   Leonid  Abdurakhimov     OIST,  Japan