Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-16
Phys. Rev. B 85, 165131 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 figures, 6 pages
Scientific paper
10.1103/PhysRevB.85.165131
The quantum kicked rotator is a periodically driven dynamical system with a metal-insulator transition. We extend the model so that it includes phase transitions between a metal and a topological insulator, in the universality class of the quantum spin Hall effect. We calculate the Z2 topological invariant using a scattering formulation that remains valid in the presence of disorder. The scaling laws at the phase transition can be studied efficiently by replacing one of the two spatial dimensions with a second incommensurate driving frequency. We find that the critical exponent does not depend on the topological invariant, in agreement with earlier independent results from the network model of the quantum spin Hall effect.
Beenakker C. W. J.
Dahlhaus J. P.
Edge Jonathan M.
Tworzydło J.
van Nieuwenburg P. L. E.
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