Anderson localization induced by spin-flip disorder in large-Chern-number quantum anomalous Hall effect

Yang, Hui; Zeng, Junjie; Han, Yulei; Qiao, Zhenhua

doi:10.1103/physrevb.104.115414

Cited by 5 publications

(3 citation statements)

References 62 publications

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“…Very recently, it has been observed that periodic driving can generate TIs with larger Chern numbers in higher dimensional (higher than 1D) systems [58][59][60][61][62][63][64][65][66][67][68]. Since the 1D E-SSH model can be mapped to the 2D Haldane model, a natural question is whether one can realize larger Chern numbers in the Floquet E-SSH model.…”

Section: Introductionmentioning

confidence: 99%

Floquet topological phases with high Chern numbers in a periodically driven extended Su–Schrieffer–Heeger model

Aayushi¹,

Bandyopadhyay²

2022

J. Phys.: Condens. Matter

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The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor (NN) inter-dimer hopping of the SSH model, an additional next-nearest-neighbor (NNN) hopping is considered in the E-SSH model. The cyclic parameter, which plays the role of a synthetic dimension, is invoked as a modulation of the hopping strengths. A rigorous analysis of different phase diagrams has shown multiple Floquet topological phase transitions among the high Chern number phases. These phase transitions can be controlled by the strength and frequency of the periodic driving. Instead of applying perturbation theory, the whole analysis is done by Floquet replica technique. This gives a freedom to study high as well as low-frequency effects on the system by considering less or more number of photon sectors. This system can be experimentally realized through a pulse sequence scheme in the optical lattice setup.

show abstract

Section: Introductionmentioning

confidence: 99%

Floquet topological phases with high Chern numbers in a periodically driven extended Su–Schrieffer–Heeger model

Aayushi¹,

Bandyopadhyay²

2022

J. Phys.: Condens. Matter

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show abstract

“…Very recently, it has been observed that periodic driving can generate topological insulators with larger Chern numbers in higher dimensional (higher than 1D) systems [47][48][49][50][51][52][53][54][55][56]. Since the 1D E-SSH model can be mapped to the 2D Haldane model, a natural question is whether one can realize larger Chern numbers in the Floquet E-SSH model.…”

Section: Introductionmentioning

confidence: 99%

Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model

Agrawal,

Bandyopadhyay

2022

Preprint

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The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor (NN) inter-dimer hopping of the SSH model, an additional next-nearestneighbor (NNN) hopping is considered in the E-SSH model. The cyclic parameter, which plays the role of a synthetic dimension, is invoked as a modulation of the hopping strengths. A rigorous analysis of different phase diagrams has shown multiple Floquet topological phase transitions among the high Chern number phases. These phase transitions can be controlled by the strength and frequency of the periodic driving. Instead of applying perturbation theory, the whole analysis is done by Floquet replica technique. This gives a freedom to study high as well as low-frequency effects on the system by considering less or more number of photon sectors. This system can be experimentally realized through a pulse sequence scheme in the optical lattice setup.

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“…On the other hand, disorder is ubiquitous in nature and has dramatic effects on static and dynamic properties in both classical and quantum systems [39]. For instance, localization induced by disorder, proposed by Anderson, is a longstanding research topic in condensed matter physics [40][41][42][43]. Theoretically, universality classes of Anderson transition have been categorized [39,[44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Quantum criticality in the disordered Aubry-André model

Bu1¹,

Zhai²,

Yin³

2022

Preprint

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In this paper, we explore quantum criticality in the disordered Aubry-André (AA) model. For the pure AA model, it is well-known that it hosts a critical point separating an extended phase and a localized insulator phase by tuning the strength of the quasiperiodic potential. Here we unearth that the disorder strength ∆ contributes an independent relevant direction near the critical point of the AA model. Our scaling analyses show that the localization length ξ scales with ∆ as ξ ∝ ∆ −ν ∆ with ν∆ a new critical exponent, which is estimated to be ν∆ ≈ 0.46. This value is remarkably different from the counterparts for both the pure AA model and the Anderson model. Moreover, rich critical phenomena are discovered in the critical region spanned by the quasiperiodic and the disordered potentials. In particular, in the extended phase side, we show that the scaling theory satisfy a hybrid scaling form as a result of the overlap between the critical regions of the AA model and the Anderson localization.

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Anderson localization induced by spin-flip disorder in large-Chern-number quantum anomalous Hall effect

Cited by 5 publications

References 62 publications

Floquet topological phases with high Chern numbers in a periodically driven extended Su–Schrieffer–Heeger model

Floquet topological phases with high Chern numbers in a periodically driven extended Su–Schrieffer–Heeger model

Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model

Quantum criticality in the disordered Aubry-André model

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