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Transport Phenomena in Corbino Disk Under Quantum Hall Effect Conditions

Explore the behavior of 2D electrons in Corbino geometry under Quantum Hall Effect conditions, analyzing the Ohm’s law and skipping edge states. Study extended states and δ-percolation effects for electrons. Investigate variations in the IVC of Corbino disk and density perturbations under different scenarios. Examine the structure and quality of integer channels with extra voltage. Discuss induction phenomena and non-symmetric I-V characteristics. Refine understanding through renormalization group flow diagrams and manipulations with gating channels.

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Transport Phenomena in Corbino Disk Under Quantum Hall Effect Conditions

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  1. IVC of Corbino disk under quantum Hall effect conditions V.Shikin, ISSP, RAS

  2. Corbino geometry

  3. Ohm’s law: electropotentialpresentation .

  4. 2D transport cannot exists without density profile perturbation.

  5. Ohm’s law: electrochemical potential presentation

  6. QEH with random potential profile

  7. Skipping edge states below the saddle point

  8. Skipping edge states above the saddle point

  9. Extended states for 2D electrons in QEH The separatrix EF δ-percolation for the extended el. states

  10. Coexistence Adopted from: E.N. Bormontov, 1999, J.V. Kibis, 1999

  11. Corbino in random potential scenario

  12. 2D transport cannot exists without density profile perturbation.

  13. Corbino in presence of regular non-uniform density perturbation

  14. B.I.Shklovskii et al., Phys. Rev. B46 (1992) p.4026

  15. The structure of integer channel

  16. Integer channel in presence of extra voltage

  17. The “quality” of integer channel

  18. Lock-in technique

  19. ω = 240 μm, R = 60 μm, xc=180 μm

  20. Questions for discussion.

  21. Pruisken renorm-group flow diagram

  22. Non-symmetric I-V for individual integer channel

  23. Induction phenomena, caused by magnetic field variations

  24. - in Corbino device

  25. nmax   → I / V   nmin R2 R1 ν=4

  26. 2R2 V 2R1

  27. Definition of magnetic “windows”

  28. Non-skiping I-V scenario • G. Muller, et. al., Phys. Rev. B 45, 3932 (1992), • E. V. Deviatov, et. al, Phys. Rev. B 69, 115330 (2004).

  29. Manipulations with a gating

  30. V

  31. Channels with extra voltage

  32. V 2a x V

  33. Поведение 2Д плотности при индукционной накачке

  34. - in Corbino device

  35. Resume • IVC of Corbino disk under quantum Hall effect conditions has to be calculated with the “participation” of diffusion phenomena.

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