Effects of Zeeman spin splitting on the modular symmetry in the quantum Hall effect

Details Effects of Zeeman spin splitting on the modular symmetry in the quantum Hall effect Effects of Zeeman spin splitting on the modular symmetry in the quantum Hall effect

2005-08-24

arxiv.org/abs/cond-mat/0508577v1

The main results are published in Microelectron. J. 36, 469 (2005).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 4 figures

Scientific paper

Magnetic-field-induced phase transitions in the integer quantum Hall effect are studied under the formation of paired Landau bands arising from Zeeman spin splitting. By investigating features of modular symmetry, we showed that modifications to the particle-hole transformation should be considered under the coupling between the paired Landau bands. Our study indicates that such a transformation should be modified either when the Zeeman gap is much smaller than the cyclotron gap, or when these two gaps are comparable.

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