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Anomalous and normal dislocation modes in Floquet topological insulators

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Tanay Nag, Bitan Roy

Mesoscale and Nanoscale Physics · Submitted 22 Oct 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Here we theoretically demonstrate that dislocations, ubiquitous lattice defects in crystals, can probe FTIs as well as unconventional $\pi$-trivial insulator in the bulk of driven quantum systems by supporting normal and anomalous modes, localized near the defect core.

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arXiv ID2010.11952 (version 2)
Pith IDSMLPLJ6O, Pith's permanent record of this paper and its review
CitationBitan Roy, Tanay Nag. "Anomalous and normal dislocation modes in Floquet topological insulators." arXiv:2010.11952 (2020). https://pith.science/paper/SMLPLJ6O
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,763 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For example, a suitable periodic drive can convert a trivial insulator into a Floquet topological insulator (FTI) that accommodates nondissipative dynamic gapless modes at the interfaces with vacuum. Here we theoretically demonstrate that dislocations, ubiquitous lattice defects in crystals, can probe FTIs as well as unconventional $\pi$-trivial insulator in the bulk of driven quantum systems by supporting normal and anomalous modes, localized near the defect core. Respectively, normal and anomalous dislocation modes reside at the Floquet zone center and boundaries. We exemplify these outcomes specifically for two-dimensional (2D) Floquet Chern insulator and $p_x+ip_y$ superconductor, where the dislocation modes are respectively constituted by charged and neutral Majorana fermions. Our findings should be therefore instrumental in probing Floquet topological phases in the state-of-the-art experiments in driven quantum crystals, cold atomic setups, and photonic and phononic metamaterials through bulk topological lattice defects.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. background 1.00 0.04 0.02 asserted 1.00
s1 As such this bulk-boundary correspondence is also operative in driven quantum materials. background 1.00 0.04 0.02 asserted 1.00
s2 For example, a suitable periodic drive can convert a trivial insulator into a Floquet topological insulator (FTI) that accommodates nondissipative dynamic gapless modes at the interfaces with vacuum. background 1.00 0.05 0.04 asserted 0.52
s3 Here we theoretically demonstrate that dislocations, ubiquitous lattice defects in crystals, can probe FTIs as well as unconventional $\pi$-trivial insulator in the bulk of driven quantum systems by supporting normal and anomalous modes, localized near the defect core. contribution 0.98 0.93 0.87 asserted 1.00
s4 Respectively, normal and anomalous dislocation modes reside at the Floquet zone center and boundaries. result 1.00 0.80 0.14 asserted 1.00
s5 We exemplify these outcomes specifically for two-dimensional (2D) Floquet Chern insulator and $p_x+ip_y$ superconductor, where the dislocation modes are respectively constituted by charged and neutral Majorana fermions. result 0.80 0.87 0.13 asserted 1.00
s6 Our findings should be therefore instrumental in probing Floquet topological phases in the state-of-the-art experiments in driven quantum crystals, cold atomic setups, and photonic and phononic metamaterials through bulk topological lattice defects. interpretation 0.78 0.44 0.35 hedged possibility 0.71

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87.

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For example, a suitable periodic drive can convert a trivial insulator into a Floquet topological insulator (FTI) that accommodates nondissipative dynamic gapless modes at the interfaces with vacuum. Here we theoretically demonstrate that dislocations, ubiquitous lattice defects in crystals, can probe FTIs as well as unconventional $\pi$-trivial insulator in the bulk of driven quantum systems by supporting normal and anomalous modes, localized near the defect core. Respectively, normal and anomalous dislocation modes reside at the Floquet zone center and boundaries. We exemplify these outcomes specifically for two-dimensional (2D) Floquet Chern insulator and $p_x+ip_y$ superconductor, where the dislocation modes are respectively constituted by charged and neutral Majorana fermions. Our findings should be therefore instrumental in probing Floquet topological phases in the state-of-the-art experiments in driven quantum crystals, cold atomic setups, and photonic and phononic metamaterials through bulk topological lattice defects.

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  • The quantum systems are studied extensively in this context theoretically [ref] as well as experimentally [ref] ; for example, dynamical localization [ref] , many-body localization [ref] , quantum phase transitions [ref] , Floquet topological insulator [ref] , Floquet topological superconductor [ref] , Floquet time crystals [ref] , higher harmonic generation [ref] are remarkable nonequilibrium phenomena.

    Dynamics of fluctuation correlation in periodically driven classical system · Introduction · 0.95

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