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Electronic transport in semiconductor nanostructures

Electronic transport in semiconductor nanostructures. Thomas Ihn ETH Zürich FS 17. After this lecture you know and understand…. … quantum interference in diffusive wires ... why conductance flutuations in diffusive systems have a universal amplitude of e 2 / h

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Electronic transport in semiconductor nanostructures

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  1. Electronic transport in semiconductor nanostructures Thomas Ihn ETH Zürich FS 17

  2. After this lecture you know and understand… • … quantum interference in diffusive wires • ... why conductance flutuations in diffusive systems have a universal amplitude of e2/h • ... the weak localization phenomenon • ... the qualitative importance of the phase coherence length or time Book: Chapters 14.8, 15.1-5

  3. Landauer-Büttiker theory Low-temperature "Conductance Is Transmission" at the Fermi energy Markus Büttiker (1950- 2013) Rolf Landauer (1927-1999)

  4. Classical vs. Quantum Probabilities quantum interference see Feynman Lectures on Physics III: Quantum mechanics

  5. Altshuler-Aronov-Spivak oscillations in metallic cylinders Magnesium cylinders evaporated on quartz filaments Sharvin and Sharvin, 1981

  6. Aharonov-Bohm oscillations in metal rings Webb et al, PRL 1985 resistance magnetic field

  7. Aharonov-Bohm oscillations in a CNT A. Bachtold et al, Nature 1999 h/e

  8. Oscillatory magnetoresistance in ballistic n-GaAs ring structures A. Fuhrer, 2001

  9. Oscillatory magnetoresistance in ballistic p-GaAs ring structures F. Nichele, 2011 raw data h/e h/2e

  10. Oscillatory magnetoresistance in a Bi2Se3 (topological insulator) nanoribbon H. Peng et al, Nature Mat. 2009

  11. Altshuler-Aronov-Spivak oscillations in an array of InGaAs rings F. Nagasawa et al, PRL 2012 1600 rings r = 608 nm

  12. Weak localization Particle diffusion on time-reversed paths

  13. Magnetic field dependent resistance

  14. Logarithmic temperature dependenceof the resistance in diffusive thin films

  15. Temperature dependentphase coherence time

  16. Reading Chapter 14.8: Conductance fluctuations Chapter 15.1-4: Weak localization effect

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