TY - JOUR

T1 - Spin-directed network model for the surface states of weak three-dimensional Z2 topological insulators

AU - Obuse, Hideaki

AU - Ryu, Shinsei

AU - Furusaki, Akira

AU - Mudry, Christopher

PY - 2014/4/21

Y1 - 2014/4/21

N2 - A two-dimensional spin-directed Z2 network model is constructed that describes the combined effects of dimerization and disorder for the surface states of a weak three-dimensional Z2 topological insulator. The network model consists of helical edge states of two-dimensional layers of Z2 topological insulators which are coupled by time-reversal-symmetric interlayer tunneling. It is argued that, without dimerization of interlayer couplings, the network model has no insulating phase for any disorder strength. However, a sufficiently strong dimerization induces a transition from a metallic phase to an insulating phase. The critical exponent ν for the diverging localization length at metal-insulator transition points is obtained by finite-size scaling analysis of numerical data from simulations of this network model. It is shown that the phase transition belongs to the two-dimensional symplectic universality class of Anderson transition.

AB - A two-dimensional spin-directed Z2 network model is constructed that describes the combined effects of dimerization and disorder for the surface states of a weak three-dimensional Z2 topological insulator. The network model consists of helical edge states of two-dimensional layers of Z2 topological insulators which are coupled by time-reversal-symmetric interlayer tunneling. It is argued that, without dimerization of interlayer couplings, the network model has no insulating phase for any disorder strength. However, a sufficiently strong dimerization induces a transition from a metallic phase to an insulating phase. The critical exponent ν for the diverging localization length at metal-insulator transition points is obtained by finite-size scaling analysis of numerical data from simulations of this network model. It is shown that the phase transition belongs to the two-dimensional symplectic universality class of Anderson transition.

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U2 - 10.1103/PhysRevB.89.155315

DO - 10.1103/PhysRevB.89.155315

M3 - Article

AN - SCOPUS:84899743063

SN - 1098-0121

VL - 89

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 15

M1 - 155315

ER -