Effects of geometry on edge states in magnetic fields: Adiabatic and nonadiabatic behavior.
作者： J. J. Palacios , C. Tejedor
关键词:
摘要: In this paper we have studied the transition from adiabatic to nonadiabatic behavior of edge states in quantum Hall regime. The loss adiabaticity due strong changes geometry boundary potential is analyzed different situations commonly present experimental devices. When Fermi energy close that a bulk Landau level (LL), state corresponding such LL remains uncoupled rest, even with hard-rualled potential.
harvard.edu
sci-hub.se 参考文章(18)
K. v. Klitzing, G. Dorda, M. Pepper, New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance Physical Review Letters. ,vol. 45, pp. 494- 497 ,(1980) , 10.1103/PHYSREVLETT.45.494
B. J. van Wees, E. M. M. Willems, C. J. P. M. Harmans, C. W. J. Beenakker, H. van Houten, J. G. Williamson, C. T. Foxon, J. J. Harris, Anomalous integer quantum Hall effect in the ballistic regime with quantum point contacts. Physical Review Letters. ,vol. 62, pp. 1181- 1184 ,(1989) , 10.1103/PHYSREVLETT.62.1181
H. van Houten, C. W. J. Beenakker, J. G. Williamson, M. E. I. Broekaart, P. H. M. van Loosdrecht, B. J. van Wees, J. E. Mooij, C. T. Foxon, J. J. Harris, Coherent electron focusing with quantum point contacts in a two-dimensional electron gas Physical Review B. ,vol. 39, pp. 8556- 8575 ,(1989) , 10.1103/PHYSREVB.39.8556
B. J. van Wees, L. P. Kouwenhoven, C. J. P. M. Harmans, J. G. Williamson, C. E. Timmering, M. E. I. Broekaart, C. T. Foxon, J. J. Harris, Observation of zero-dimensional states in a one-dimensional electron interferometer. Physical Review Letters. ,vol. 62, pp. 2523- 2526 ,(1989) , 10.1103/PHYSREVLETT.62.2523
B. I. Halperin, Quantized Hall conductance, current carrying edge states, and the existence of extended states in a two-dimensional disordered potential Physical Review B. ,vol. 25, pp. 2185- 2190 ,(1982) , 10.1103/PHYSREVB.25.2185
M. Büttiker, Absence of backscattering in the quantum Hall effect in multiprobe conductors Physical Review B. ,vol. 38, pp. 9375- 9389 ,(1988) , 10.1103/PHYSREVB.38.9375
B. J. van Wees, E. M. M. Willems, L. P. Kouwenhoven, C. J. P. M. Harmans, J. G. Williamson, C. T. Foxon, J. J. Harris, Suppression of Shubnikov–de Haas resistance oscillations due to selective population or detection of Landau levels: Absence of inter-Landau-level scattering on macroscopic length scales Physical Review B. ,vol. 39, pp. 8066- 8069 ,(1989) , 10.1103/PHYSREVB.39.8066
B. W. Alphenaar, P. L. McEuen, R. G. Wheeler, R. N. Sacks, Selective equilibration among the current-carrying states in the quantum Hall regime Physical Review Letters. ,vol. 64, pp. 677- 680 ,(1990) , 10.1103/PHYSREVLETT.64.677
G. Müller, D. Weiss, S. Koch, K. von Klitzing, H. Nickel, W. Schlapp, R. Lösch, Edge channels and the role of contacts in the quantum hall regime Physical Review B. ,vol. 42, pp. 7633- 7636 ,(1990) , 10.1103/PHYSREVB.42.7633
J. Faist, P. Guéret, H. P. Meier, Interior contacts for probing the equilibrium between magnetic edge channels in the quantum Hall effect Physical Review B. ,vol. 43, pp. 9332- 9335 ,(1991) , 10.1103/PHYSREVB.43.9332