Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-02-08
Phys. Rev. B 76, 075301 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 13 figures, accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.76.075301
The effects of static disorder on the Z_2 quantum spin-Hall effect for non-interacting electrons propagating in two-dimensional space is studied numerically. A two-dimensional time-reversal symmetric network model is constructed to account for the effects of static disorder on the propagation of non-interacting electrons subjected to spin-orbit couplings. This network model is different from past network models belonging to the symplectic symmetry class in that the propagating modes along the links of the network can be arranged into an odd number of Kramers doublet. It is found that (1) a two-dimensional metallic phase of finite extent is embedded in a Z_2 insulating phase in parameter space and (2) the quantum phase transitions between the metallic and Z_2 insulating phases belong to the conventional symplectic universality class in two space dimensions.
Furusaki Akira
Mudry Christopher
Obuse Hideaki
Ryu Shinsei
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