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EE755 Postgraduate

Quantum Transport in Nanoscale Devices

Credits
6
Type
Theory
Lecture
2 hr
Practical
1 hr
Half sem
No

Course Content

Part I: Theory of quantum transport Bottom up view point, Landauer approach, connection with diffusive transport. Examples of equilibrium calculations: concept of band structure, quantum wells, nanowires, carbon nanotubes, graphene, electrostatics, quantum capacitance Non-equilibrium transport: elastic resistor model re-visited from quantum transport perspective, introducing contacts to the Schroedinger equation, Greens function theory, self-energy, Non-equilibrium Greens function (NEGF) formalism Application of the NEGF formalism to concrete examples: a) molecular electronics, b) nanowire transport, c) resonant tunnelling diodes Non-coherent transport: Electron phonon interaction, Part II Examples of Quantum transport: Nanotransistors, Thermoelectric transport, energy conversion efficiency, low dimensional thermoelectrics Energy, entropy and heat currents, connection with second law, quantum thermodynamics. Part III Advanced Topics: Strongly correlated transport, Second Quantization, Formal derivation of NEGF equations, qubit and quantum computation concepts, examples using quantum dots, Information theoretic description of transport, Maxwells demon, fundamental limits of computation, smart contacts, spin caloritronics, and exploratory paradigms, future overlook.

Text / References

  1. 1 [1]Quantum Transport: Atom to Transistor,Supriyo Datta, Cambridge, (2005)[2] Electronic transport in mesoscopic systems,Supriyo Datta, Cambridge, (1995).[3] E. N. Economou, Green302222s functions in Quantum Physics, Springer, (2006).