Localization in a quantum spin Hall system

Details Localization in a quantum spin Hall system Localization in a quantum spin Hall system

2006-05-22

arxiv.org/abs/cond-mat/0605510v2

Phys. Rev. Lett. 98, 076802 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures, REVTeX

Scientific paper

Localization problem of electronic states in a two-dimensional quantum spin Hall system (QSH - a symplectic model with a non-trivial topological structure) is studied by the transfer matrix method. The phase diagram in the plane of energy and disorder strength is exposed, and demonstrates "levitation" and "pair-annihilation" of the domains of extended states analogous to that of the integer quantum Hall system. The critical exponent $\nu$ for the divergence of the localization length is estimated as $\nu \cong 1.6$ which is distinct from both exponents pertaining to the conventional symplectic and the unitary quantum Hall systems. This strongly suggests a different universality class related to the non-trivial topology of the QSH system.

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