Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics,...

22
Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP Workshop, Nov. 10-12, 2012 成 成 成 (since 1398)

Transcript of Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics,...

Page 1: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn5

Tuson Park

Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea

IOP Workshop, Nov. 10-12, 2012

成 均 館 (since 1398)

Page 2: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Collaborators

H. Q. Yuan: Zhejiang University, China

X. Lu, H. Lee, F. Ronning, E. D. Bauer, R. Movshovich, J. L. Sarrao, I. Martin, Z. Zhu, J. D. Thompson: Los Alamos National Lab.

E. Park, S. Seo, S. Lee, D. Shin, S. Shin: Sungkyunkwan Univ.

V. Sidorov: HPPI, Russia

SKKU

Z. Fisk: Univ. California - Irvine

I. Vekhter: Louisiana State Univ.

N. Curro: Univ. California - Davis.

R. R. Urbano: UNICAMP.

Page 3: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Outline

Quantum criticality and superconductivity

Inhomogeneous SC state in the quantum critical superconductor CeRhIn5

- Phys. Rev. Lett. 108, 077003 (2012)

Disorder, magnetism, and superconductivity: Cd-doped CeMIn5 (M=Co, Rh, Ir) (unpublished)

Page 4: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Phase diagram of unconventional SCs

cuprate Fe-based pnictides

organics heavy fermion

CeRhIn5

Page 5: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Non-Fermi liquid at optimal Tc

cuprate Fe pnictides

organics heavy fermion

CeRhIn5

1 10 100

0.1

1

10

100

CeRhIn5

T2 1 bar 22.7 kbar 52.6 kbar

c (

-c

m)

Temperature (K)

T0.6

Common threads

Universial Class of SCs

Page 6: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Emergent phases near a quantum critical point

P. Coleman & A. J. Schofield, Nature 433 ('05)

Quantum phase transition is a transition between ordered and disordered states

driven by quantum fluctuations at T = 0 K

Ordered state

δc

tem

pera

ture

δ

temperature –control parameter (δ) phase diagram

Orderedstate

Fermi liquid

Quantum critical matter (NFL)

Breakdown of Fermi liquid: Δρ Tn (n <2), C/T log T0/T

Continuous source of new emergent states: unconventional superconductivity, metamagnetism (Sr3Ru2O7), stripes in the cuprates, nematic states in URu2Si2 & Fe-based SCs

SC

Page 7: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

SC

Isothermal measurements of CeRhIn5 as a fn of pressure: (P)(5.2 GPa)

Nature 456, 366 (2008)

Quantum critical superconductivity in CeRhIn5

0 1 2 3 4 50

20

40

60

80

100

ab(P

) /

ab (

5.2

GP

a)

P (GPa)

I // ab-plane 2.3 K 20 K 50 K 280 K

0 90 180

324

326

328

330

895

900

905[100]

0.3 K& 0.5 T

1.8 K& 0.5 T

[100]

C /

T (

a. u

.)

angle ()

[010]

4-fold modulation in field-angle specific heatPRL 101, 177002 (2008)

0 1 2 3 4 50

20

40

60

80

100

ab(P

) /

ab (

5.2

GP

a)

P (GPa)

I // ab-plane 2.3 K 20 K 50 K 280 K

Quantum fluctuations are the origin of the unconventional superconductivity

Page 8: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Outline

Quantum criticality and superconductivity

Inhomogeneous SC state in the quantum critical superconductor CeRhIn5

- Phys. Rev. Lett. 108, 077003 (2012)

Disorder, magnetism, and superconductivity: Cd-doped CeMIn5 (M=Co, Rh, Ir) (unpublished)

Page 9: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

0 10 20 30 40 50

10-4

10-3

10-2

10-1

ab

(m

cm

)

T (K)

La1.875

Ba.125

CuO4

bulk Tc

Q. Li et al., PRL 99, 067001 (2007)

resistive transition far above bulk Tc

Broad tail below the Tc onset temperature for transition in c < ab

Textured SC in high-Tc cuprates

I. Martin & C. Panagopoulos, EPL 92, 67001 (2010)

Y. Ando et al., PRL 92, 247004 (2004)

Page 10: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Filamentary superconductivity in CeRhIn5

Filamentary superconductivity due to bad sample quality?

Manifestation of a new state of matter in the vicinity of a QCP?

Tc difference below 1.9 Gpa (Knebel et al., JPCM 16, 8905 (2004))

Page 11: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Experiments: simultaneous measurements of heat capacity and resistivity under pressure

Hybrid clamp-type pressure cell(up to 3 GPa) with silicone as transmitting medium

Plug with samples mountedPb Tc as a meausre of pressure

Page 12: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

CeRhIn5 in the coexisting phase

0 1 2 3 40

2000

4000

6000

0.0

2.0

4.0

6.0

8.0

10.0

12.0

C/T

(ar

b. u

nits

)

T (K)

ab (

cm

)

P = 15.8 kbar

TN

Tc

Ton

Tc onset in the resistivity is different from the bulk Tc determined by the heat capacity

0.0 0.5 1.0 1.5 2.0 2.50

2

4

6 TN

bulk Tc

Tc onset

SC

AFM+ SC

AFM

T (

K)

P (GPa)

Phase diagram for better sample with RRR ~ 1000

Page 13: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Pressure effects on the Tc difference

0.0 1.0 2.0 3.0 4.00

2000

4000

6000

0.0

5.0

10.0

a

C/T

(ar

b. u

nits

)

ab (

cm

)

P = 1.58 GPa

0.0 0.5 1.0 1.5 2.0 2.50

2

4

6 TN

bulk Tc

Tc onset

SC

AFM+ SC

AFM

T (

K)

P (GPa)

Tc difference between resistivity and specific heat only in the coexisting phase

TP et al., Phys. Rev. Lett. 108, 077003 (2012)

0.0 1.0 2.0 3.0 4.00

2000

4000

6000

0.0

5.0

10.0

0.0 1.0 2.0 3.0 4.00

2000

4000

0.0

5.0

10.0

a

C/T

(ar

b. u

nits

)

b

ab (

cm

)

P = 1.58 GPa

P = 1.7 GPa

C/T

(ar

b. u

nits

)

ab (

cm

)

0.0 1.0 2.0 3.0 4.00

2000

4000

6000

0.0

5.0

10.0

0.0 1.0 2.0 3.0 4.00

2000

4000

6000

0.0

5.0

10.0

0.0 1.0 2.0 3.0 4.00

2000

4000

0.0

5.0

10.0

P = 2.2 GPa

C/T

(ar

b. u

nits

)

T (K)

ab (

cm

)

a

c

C/T

(ar

b. u

nits

)

b

ab (

cm

)

P = 1.58 GPa

P = 1.7 GPa

C/T

(ar

b. u

nits

)

ab (

cm

)

ab c

Tc difference is not from disorder, but from competing orders

Page 14: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Resistivity anisotropy in the SC transition regioin

At 1bar, residual resistivity for J//c is larger than J // ab by a factor of 10Contradicting conventional expectation, however, resistivity drops to zero immediately for J // c, while it has a long tail for J // ab

1.0 2.0 3.0 4.0 5.00.01

0.10

1.00

10.00

ab,

c (

-cm

)

T(K)

1 bar (J // ab) 1 bar (J // c)

c(0) = 90 n cm

ab

(0) = 7.9 n cm

1.0 2.0 3.0 4.0 5.00.01

0.10

1.00

10.00

ab,

c (

-cm

)

T(K)

1 bar (J // ab) 1.61 GPa (J // ab) 1bar (J // c) 1.65 GPa (J // c)

c(0) = 90 n cm

ab

(0) = 7.9 n cm

1.0 2.0 3.0 4.0 5.00.01

0.10

1.00

10.00

ab,

c (

-cm

)

T(K)

1 bar (ab) 1.61 GPa (ab) 2.42 GPa (ab) 1bar (c) 1.65 GPa (c) 2.43 GPa (c)

c(0) = 90 n cm

ab

(0) = 7.9 n cm

0.0 0.5 1.0 1.5 2.0 2.50

2

4

6 TN

bulk Tc

Tc onset

SC

AFM+ SC

AFM

T (K

)

P (GPa)

Page 15: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Textured SC state

1.0 2.0 3.0

0.10

1.00

10.00

ab (

-cm

)

P = 1.58 GPa @ 0.1 mA @ 10.0 mA

T (K)

Broad tail of SC transition in ρab is not from heating effects.

1.6 1.8 2.0 2.2 2.4

0.01

0.10

1.00 I//100 I//110

(

cm)

T (K)

1.3 1.4 1.5 1.6 1.7

1.8

2.0

2.2

I//100 I//110

Tc,

mid (

K)

P (GPa)

Additional in-plane anisotropy

SCAF

SC b

c

a

AFAF

Page 16: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Recent neutron scattering in the coexisting phase of CeRhIn5

Neutron scattering of CeRhIn5 at 1.48 GPa- Aso et al., JPSJ 78, 073703 (2009).

Tc corresponds to the bulk Tc, where Q2 completely replaces Q1 and coexists with SC state

0.0 0.5 1.0 1.5 2.0 2.50

1

2

3

4 T

c

TN

SC

AFM+ SC

AFM

T (

K)

P (GPa)

T* corresponds to resistive Tc

=> SC & Q2 coexists, while Q1 disappears below bulk Tc

SC & Q2

Q1

SC & Q2

b

c

a

Q1Q1

Q1 = (0.5, 0.5, 0.326), Q2 = (0.5, 0.5, 0.391)

Page 17: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Summary & Discussion I

Discovery of a textured SC phase in the heavy fermion compound CeRhIn5:

- Tc difference- Resistivity anisotropy among different crystalline axes- Coincidence of Q2 onset with Tc onset

Presence of competing phase & proximity to a QCP are keys to the textured SC phase

Is textuerd SC unique in CeRhIn5?

SC & Q2

Q1

SC & Q2

b

c

a

Q1Q1

Q1 = (0.5, 0.5, 0.326), Q2 = (0.5, 0.5, 0.391)

Page 18: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

0 10 20 30 40 50

10-4

10-3

10-2

10-1

ab

(m

cm

)

T (K)

La1.875

Ba.125

CuO4

bulk Tc

Q. Li et al., PRL 99, 067001 (2007)

resistive transition far above bulk Tc

Broad tail below the Tc onset temperature for transition in c < ab

Textured SC in high-Tc cuprates

I. Martin & C. Panagopoulos, EPL 92, 67001 (2010)

Page 19: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Textured SC in organics

(TMTSF)2PF6

pressure

Pasquier et al., Physica B 407, 1806 (2012)

Page 20: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Textured SC in Fe pnictides

Chu et al., Science 329, 824 (2010)Fernandes et al.,Phys. Rev. B 81, 140501 (2010)

(arXiv:1112.2243v1)

Page 21: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Perspective on textured state

Quantum critical SCs seem susceptible to new electronic states

Electrons spontaneously adjust themselves to minimize the stress coming from frustration among competing phases

Is textured SC state universal? Most likely

Add one more common thread to the unconventional SCs

Is it beneficial to superconductivity? Probably not in CeRhIn5

Page 22: Inhomogeneous Superconductivity in the Heavy Fermion CeRhIn 5 Tuson Park Department of Physics, Sungkyunkwan University, Suwon 440-746, South Korea IOP.

Thank you !감사합니다 !