### Abstract

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.

Original language | English (US) |
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Article number | 155315 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 89 |

Issue number | 15 |

DOIs | |

State | Published - Apr 21 2014 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*89*(15), [155315]. https://doi.org/10.1103/PhysRevB.89.155315