Theory of the Topological Anderson Insulator

Groth, Christoph; Wimmer, Michael; Akhmerov, A. R.; Tworzydło, J.; Beenakker, C. W. J.

doi:10.1103/physrevlett.103.196805

Cited by 418 publications

(512 citation statements)

References 19 publications

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“…The mass renormalization due to disorder has been argued for 2D topological insulators, in which it causes a transition from nontopological to topological phases. 56,57) In a manner similar to this, the boundary between the semimetal phase and the diffusive metal phase is shown to be modified by it in Weyl semimetals. [44][45][46] The above result indicates that, even within a semimetal phase, the mass renormalization significantly affects the property of edge excitations.…”

Section: Simulation Of Electron Transportsupporting

confidence: 53%

Disorder Effect on Chiral Edge Modes and Anomalous Hall Conductance in Weyl Semimetals

Takane

2016

J. Phys. Soc. Jpn.

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Typical Weyl semimetals host chiral surface states and hence show an anomalous Hall response. Although a Weyl semimetal phase is known to be robust against weak disorder, the effect of disorder on chiral states has not been fully clarified so far. We study the behavior of such chiral states in the presence of disorder and its consequences on an anomalous Hall response, focusing on a thin slab of Weyl semimetal with chiral surface states along its edge. It is shown that weak disorder does not disrupt chiral edge states but crucially affects them owing to the renormalization of a mass parameter: the number of chiral edge states changes depending on the strength of disorder. It is also shown that the Hall conductance is quantized when the Fermi level is located near Weyl nodes within a finite-size gap. This quantization of the Hall conductance collapses once the strength of disorder exceeds a critical value, suggesting that it serves as a probe to distinguish a Weyl semimetal phase from a diffusive anomalous Hall metal phase.

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Section: Simulation Of Electron Transportsupporting

confidence: 53%

Disorder Effect on Chiral Edge Modes and Anomalous Hall Conductance in Weyl Semimetals

Takane

2016

J. Phys. Soc. Jpn.

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“…17,18 Theoretical studies of doping showed that the metal obtained when the chemical potential of the TI lies outside the band gap is characterized by a finite, but nonquantized topological index. [19][20][21][22][23] Studies of disorder led to additional surprises: It was shown that disorder can induce topological behavior in some trivial insulators, [24][25][26][27] and (more importantly for the current work) that disorder may close the gap in topological insulators, leading to a metallic phase. [28][29][30][31][32] In our work, we focus on the disorder-induced metallic phase in a simple test case of the Kane-Mele-Haldane honeycomb model.…”

Section: Introductionmentioning

confidence: 99%

Disordered topological metals

Meyer

Refael

2013

Phys. Rev. B

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Topological behavior can be masked when disorder is present. A topological insulator, either intrinsic or interaction induced, may turn gapless when sufficiently disordered. Nevertheless, the metallic phase that emerges once a topological gap closes retains several topological characteristics. By considering the self-consistent disorder-averaged Green function of a topological insulator, we derive the condition for gaplessness. We show that the edge states survive in the gapless phase as edge resonances and that, similar to a doped topological insulator, the disordered topological metal also has a finite, but nonquantized topological index. We then consider the disordered Mott topological insulator. We show that within mean-field theory, the disordered Mott topological insulator admits a phase where the symmetry-breaking order parameter remains nonzero but the gap is closed, in complete analogy to "gapless superconductivity" due to magnetic disorder.

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“…In the clean limit, this model is known to possess both Abelian and topological (finite Chern number) non-Abelian gapped chiral spin liquid phases [3][4][5] . In this work, we focus on how random exchange disorder affects the phase boundaries and show there are analogs to the recently studied topological Anderson insulators [11][12][13] and disordered Chern insulators 14 . Our main result is that disorder enlarges the parameter space of the topological phase and therefore can drive a transition into the topological phase.…”

Section: Introductionmentioning

confidence: 99%

Exactly solvable topological chiral spin liquid with random exchange

Chua

Fiete

2011

Phys. Rev. B

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We extend the Yao-Kivelson decorated honeycomb lattice Kitaev model [Phys. Rev. Lett. 99, 247203 (2007)] of an exactly solvable chiral spin liquid by including disordered exchange couplings. We have determined the phase diagram of this system and found that disorder enlarges the region of the topological non-Abelian phase with finite Chern number. We study the energy level statistics as a function of disorder and other parameters in the Hamiltonian, and show that the phase transition between the non-Abelian and Abelian phases of the model at large disorder can be associated with pair annihilation of extended states at zero energy. Analogies to integer quantum Hall systems, topological Anderson insulators, and disordered topological Chern insulators are discussed.

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Theory of the Topological Anderson Insulator

Cited by 418 publications

References 19 publications

Disorder Effect on Chiral Edge Modes and Anomalous Hall Conductance in Weyl Semimetals

Disorder Effect on Chiral Edge Modes and Anomalous Hall Conductance in Weyl Semimetals

Disordered topological metals

Exactly solvable topological chiral spin liquid with random exchange

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