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Part I: Theory of quantum transport Bottom-up viewpoint, 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 a quantum transport perspective, introducing “contacts” to the Schroedinger equation, Green’s function theory, self-energy, Non-equilibrium Green’s 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 thermoelectric Energy, entropy and heat currents, connection with the 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, Maxwell’s demon, fundamental limits of computation, smart contacts, spin caloritronics, and exploratory
paradigms, future overlook.