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By
SAJAD AHMAD SHIEK
(SSVP-2016)
UNDER SUPERVIS ION - Dr. ARIJIT SAHA
18/07/2016
 Introduction
 BTK Model
 Calculation of Probability Current Densities at NS
Junction
 NS Junction at Finite Bias Voltage (I-V Characteristics)
 Calculation of Differential Conductance
 Conclusion
 Acknowledgment
Three Major Quantum Mechanical Scattering
Processes at NS Interface
Andreev Reflection
Transmission
Normal Reflection
Andreev Reflection Process
in an energy diagram
 Potential barrier at NS interface
 Bogoliubov transformations
with
where uk and vk are the BCS coherence factors
V(x) - Potential
µ(x) - Chemical potential
∆(x) - Energy gap
Trial wave solutions
Boundary conditions:
C
f
f
 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.
 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.
SEMINAR PPT-Sajad 1_5

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SEMINAR PPT-Sajad 1_5

  • 1. By SAJAD AHMAD SHIEK (SSVP-2016) UNDER SUPERVIS ION - Dr. ARIJIT SAHA 18/07/2016
  • 2.  Introduction  BTK Model  Calculation of Probability Current Densities at NS Junction  NS Junction at Finite Bias Voltage (I-V Characteristics)  Calculation of Differential Conductance  Conclusion  Acknowledgment
  • 3. Three Major Quantum Mechanical Scattering Processes at NS Interface Andreev Reflection Transmission Normal Reflection Andreev Reflection Process in an energy diagram
  • 4.  Potential barrier at NS interface  Bogoliubov transformations with where uk and vk are the BCS coherence factors
  • 5. V(x) - Potential µ(x) - Chemical potential ∆(x) - Energy gap Trial wave solutions
  • 6.
  • 7.
  • 9.
  • 10.
  • 11.
  • 12. C
  • 13.
  • 14. f
  • 15. f
  • 16.  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.
  • 17.  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.