Universality at integer quantum Hall transitions
arXiv:cond-mat/9805341 · doi:10.1088/0953-8984/12/25/301
Abstract
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.
20 pages, 15 figures
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- AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
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- Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
- Self-duality of the integer quantum Hall to insulator transition: composite fermion description
- Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
- Random Magnetic Field and the Dirac Fermi Surface