SEMINAR PPT-Sajad 1_5
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Transcript of SEMINAR PPT-Sajad 1_5
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By
SAJAD AHMAD SHIEK
(SSVP-2016)
UNDER SUPERVIS ION - Dr. ARIJIT SAHA
18/07/2016
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Introduction
BTK Model
Calculation of Probability Current Densities at NSJunction
NS Junction at Finite Bias Voltage (I-V Characteristics)
Calculation of Differential Conductance
Conclusion
Acknowledgment
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Three Major Quantum Mechanical Scattering Processes at NS Interface
Andreev Reflection
Transmission
Normal Reflection
Andreev Reflection Process
in an energy diagram
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Potential barrier at NS interface
Bogoliubov transformations
with
where uk and vk are the BCS coherence factors
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\
V(x) - Potential
µ(x) - Chemical potential
∆(x) - Energy gap
Trial wave solutions
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Boundary conditions:
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C
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In conclusion we have reviewed the BTK theory
and its assumptions.
A full account on BTK derivation of the I-V
equation using the Bogoliubov equations and the
boundary conditions provided.
The resultant electric current and differential
conductance have been calculated using the BTK
current equation.
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I am very thankful to IOP for this wonderful opportunity to
do a summer research project here.
I would like to extend my thanks to Prof. Goutam Tripathy
for providing all the necessary facilities during the stay in
IOP.
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