TY - JOUR
T1 - Study of universality at integer quantum Hall transitions
AU - Yang, Kun
AU - Shahar, D.
AU - Bhatt, R. N.
AU - Tsui, D. C.
AU - Shayegan, M.
N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.
PY - 2000/6/26
Y1 - 2000/6/26
N2 - We report in this paper results of experimental and theoretical studies of transitions between different integer quantum Hall phases in two-dimensional electron systems, as well as the transition to the insulating phase at high magnetic fields. We focus mainly on the resistivity at the transitions. We first present results of a numerical calculation for a non-interacting electron model, which shows that the Thouless conductance is universal at integer quantum Hall transitions, just like the conductivity tensor. We then present experimental results for the measured longitudinal resistivity at the quantum Hall-insulator transition, which are found to be clustered around the universal value suggested theoretically for the non-interacting model, within a range of 15%. Finally, we investigate departure from universality due to finite temperature and finite system size near the transition point.
AB - We report in this paper results of experimental and theoretical studies of transitions between different integer quantum Hall phases in two-dimensional electron systems, as well as the transition to the insulating phase at high magnetic fields. We focus mainly on the resistivity at the transitions. We first present results of a numerical calculation for a non-interacting electron model, which shows that the Thouless conductance is universal at integer quantum Hall transitions, just like the conductivity tensor. We then present experimental results for the measured longitudinal resistivity at the quantum Hall-insulator transition, which are found to be clustered around the universal value suggested theoretically for the non-interacting model, within a range of 15%. Finally, we investigate departure from universality due to finite temperature and finite system size near the transition point.
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U2 - 10.1088/0953-8984/12/25/301
DO - 10.1088/0953-8984/12/25/301
M3 - Article
AN - SCOPUS:0033688124
VL - 12
SP - 5343
EP - 5360
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 25
ER -