Topological Anderson Insulators in Systems without Time-Reversal Symmetry

Abstract

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance contributed by helical edge states, is driven by disorder. Here we show that when TRS is broken, the physics of TAI becomes even richer. The pattern of longitudinal conductance and nonequilibrium local current %Unlike for conventional topological insulators that, in the %absence of an external magnetic field, support only a single quantized %conductance in the quantum anomalous Hall effect region or a single %re-entrant quantized conductance in TAI, %our model exhibits novel TAI distribution displays novel TAI phases characterized by nonzero Chern numbers, indicating the occurrence of multiple chiral edge modes. Tuning either disorder or Fermi energy (in both topologically trivial and nontrivial phases), drives transitions between these distinct TAI phases, characterized by jumps of the quantized conductance from $0$ to $e^2/h$ and from $e^2/h$ to $2e^2/h$. An effective medium theory based on the Born approximation yields an accurate description of different TAI phases in parameter space.

5 pages, 3 figures

References in corpus (17)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Nonlocal edge state transport in the quantum spin Hall state
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological Anderson Insulator
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Coupling the valley degree of freedom to antiferromagnetic order
• Robustness of the Spin-Chern number
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Topological Anderson Insulator in Three Dimensions
• The dependence of topological Anderson insulator on the type of disorder
• The topological Anderson insulator phase in the Kane-Mele model
• Antiferromagnetic Topological Superconductor and Electrically Controllable Majorana Fermions
• Size Effects on Transport Properties in Topological Anderson Insulators
• Percolating States in the Topological Anderson Insulator

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