Universality at integer quantum Hall transitions

Details Universality at integer quantum Hall transitions Universality at integer quantum Hall transitions

1998-05-26

arxiv.org/abs/cond-mat/9805341v1

J. Phys. Condens. Matter 12, 5343 (2000).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 15 figures

Scientific paper

10.1088/0953-8984/12/25/301

We report in this paper results of experimental and theoretical studies of transitions between different integer quantum Hall phases, as well as transition between the insulating phase and quantum Hall phases at high magnetic fields. We focus mainly on universal properties of the transitions. We demonstrate that properly defined conductivity tensor is universal at the transitions. We also present numerical results of a non-interacting electron model, which suggest that the Thouless conductance is universal at integer quantum Hall transitions, just like the conductivity tensor. Finite temperature and system size effects near the transition point are also studied.

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