arXiv Open Access 2003

Localization in the quantum Hall regime

Bernhard Kramer Stefan Kettemann Tomi Ohtsuki

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Abstrak

The localization properties of electron states in the quantum Hall regime are reviewed. The random Landau model, the random matrix model, the tight-binding Peierls model, and the network model of Chalker and Coddington are introduced. Descriptions in terms of equivalent tight-binding Hamiltonians, and the 2D Dirac model, are outlined. Evidences for the universal critical behavior of the localization length are summarized. A short review of the supersymmetric critical field theory is provided. The interplay between edge states and bulk localization properties is investigated. For a system with finite width and with short-range randomness, a sudden breakdown of the two-point conductance from $ne^{2}/h$ to 0 ($n$ integer) is predicted if the localization length exceeds the distance between the edges.

Topik & Kata Kunci

cond-mat.mes-hall cond-mat.dis-nn

Penulis (3)

Bernhard Kramer

Stefan Kettemann

Tomi Ohtsuki

Format Sitasi

APA MLA BibTeX

Kramer, B., Kettemann, S., Ohtsuki, T. (2003). Localization in the quantum Hall regime. https://arxiv.org/abs/cond-mat/0309115

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2003
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓