Extended Creutz ladder with spin-orbit coupling: A one-dimensional analog of the Kane-Mele model

Gholizadeh, Sina; Yahyavi, Mohammad; Hetényi, Balázs

doi:10.1209/0295-5075/122/27001

Cited by 17 publications

(19 citation statements)

References 39 publications

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“…Topological invariants are available, either based on Berry phase, single-particle Green's functions, or entanglement entropy (Guo and Shen, 2011;Manmana et al, 2012;Wang et al, 2015a). Other 1D TIs are based on superlattices or Creutz-type models (Gholizadeh et al, 2018;Hetenyi and Yahyavi, 2018). As mentioned before, the topological properties can be best understood from the perspective of gapped Dirac Hamiltonians .…”

Section: One-dimensional Correlated Topological Insulatorsmentioning

confidence: 99%

Interacting topological insulators: a review

2018

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The discovery of the quantum spin Hall effect and topological insulators more than a decade ago has revolutionized modern condensed matter physics. Today, the field of topological states of matter is one of the most active and fruitful research areas for both experimentalists and theorists. The physics of topological insulators is typically well described by band theory and systems of non-interacting fermions. In contrast, several of the most fascinating effects in condensed matter physics merely exist due to electron-electron interactions, examples include unconventional superconductivity, the Kondo effect, and the Mott-Hubbard transition. The aim of this review article is to give an overview of the manifold directions which emerge when topological bandstructures and correlation physics interfere and compete. These include the study of the stability of topological bandstructures and correlated topological insulators. Interaction-induced topological phases such as the topological Kondo insulator provide another exciting topic. More exotic states of matter such as topological Mott insulator and fractional Chern insulators only exist due to the interplay of topology and strong interactions and do not have any bandstructure analogue. Eventually the relation between topological bandstructures and frustrated quantum magnetism in certain transition metal oxides is emphasized.

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Section: One-dimensional Correlated Topological Insulatorsmentioning

confidence: 99%

Interacting topological insulators: a review

2018

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“…One version of the modified CL model concerns the case with spin-1/2 fermions and spin-orbit couplings in the ladder. Recently, such kinds of spinful CL (SCL) have been investigated in several studies [84][85][86]. It was found that the existence of spin degrees of freedom could not only modify the symmetry classification of the CL (e.g., from AIII to CII), but also induce new topological transport phenomena.…”

Section: The Modelmentioning

confidence: 99%

Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder

Zhou

2020

Phys. Rev. A

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Floquet engineering has the advantage of generating new phases with large topological invariants and many edge states by simple driving protocols. In this work, we propose an approach to obtain Floquet edge states with fourfold degeneracy and even-integer topological characterizations in a spinful Creutz ladder model, which is realizable in current experiments. Putting the ladder under periodic quenches, we found rich Floquet topological phases in the system, which belong to the symmetry class CII. Each of these phases is characterized by a pair of even integer topological invariants (w0, wπ) ∈ 2Z × 2Z, which can take arbitrarily large values with the increase of driving parameters. Under the open boundary condition, we further obtain multiple quartets of topological edge states with quasienergies zero and π in the system. Their numbers are determined by the bulk topological invariants (w0, wπ) due to the bulk-edge correspondence. Finally, we propose a way to dynamically probe the Floquet topological phases in our system by measuring a generalized mean chiral displacement. Our findings thus enrich the family of Floquet topological matter, and put forward the detection of their topological properties. arXiv:1912.09078v1 [cond-mat.mes-hall]

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“…By controlling a modulation amplitude of a driving optical lattice, t 0 =t 1 condition can be achieved. [47][48][49][50]. Hence, the model has chiral, time-reversal and particle-hole symmetries.…”

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confidence: 99%

Flat-band many-body localization and ergodicity breaking in the Creutz ladder

2020

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We study disorder-free many-body localization in the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure of the system leads to a Wannier wavefunction localized on four adjacent lattice sites. In the flat-band regime both with and without interactions, the level spacing analysis exhibits Poisson-like distribution indicating the existence of disorder-free localization. Calculations of the inverse participation ratio support this observation. Interestingly, this type of localization is robust to weak disorders, whereas for strong disorders, the system exhibits a crossover into the conventional disorder-induced manybody localizated phase. Physical picture of this crossover is investigated in detail. We also observe nonergodic dynamics in the flat-band regime without disorder. The memory of an initial density wave pattern is preserved for long times.

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Extended Creutz ladder with spin-orbit coupling: A one-dimensional analog of the Kane-Mele model

Cited by 17 publications

References 39 publications

Interacting topological insulators: a review

Interacting topological insulators: a review

Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder

Flat-band many-body localization and ergodicity breaking in the Creutz ladder

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