Abstract

The disorder-driven metal–insulator transition in the quantum spin Hall systems is studied by scaling analysis of the Thouless conductance g. Below a critical disorder strength, the conductance is independent of the sample size M, an indication of critically delocalized electron states. The calculated beta function β = dlng/dlnM indicates that the metal–insulator transition is of Kosterlitz–Thouless (KT) type, which is characterized by binding and unbinding of vortex–antivortex pairs of the local currents. The KT-like metal–insulator transition is a basic characteristic of the quantum spin Hall state, being independent of the time-reversal symmetry.

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