Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
arXiv:1201.3361 · doi:10.1103/PhysRevB.85.165131
Abstract
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.
5 figures, 6 pages
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- Effects of local periodic driving on transport and generation of bound states
- Effective time-independent analysis for quantum kicked systems
- Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
- The scaling behavior of the insulator to plateau transition in topological band model