Disordered weak and strong topological insulators

Abstract

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called topological Anderson insulator. Here, we report unexpected quantization, i.e., robustness against disorder of the conductance peaks on these phase boundaries. Another highlight of the work is on the emergence of two subregions in the weak topological insulator phase under disorder. According to the size dependence of the conductance, the surface states are either robust or "defeated" in the two subregions. The nature of the two distinct types of behavior is further revealed by studying the Lyapunov exponents.

5 pages, 4 figures, published version

References in corpus (12)

• Topological Insulators with Inversion Symmetry
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Topological Anderson Insulator
• Topological delocalization of two-dimensional massless Dirac fermions
• Topological Anderson Insulator in Three Dimensions
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Three-dimensional phase diagram of disordered HgTe/CdTe Quantum spin-Hall wells
• Disorder-Induced Multiple Transition involving Z2 Topological Insulator
• Finite-size energy gap in weak and strong topological insulators
• Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices
• Conductance distributions in disordered quantum spin-Hall systems
• Transport properties in network models with perfectly conducting channels

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