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Electron states on the smooth edge of 2D topological insulator: elastic backscattering and light absorption

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M.M. Mahmoodian, M.V. Entin

Mesoscale and Nanoscale Physics · Submitted 13 Jan 2021

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

The authors' main claim However, when linear edge states get to the energy domain of Dirac edge states, the backscattering becomes permitted.

how it is stated · asserted 0.98 read the record →

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arXiv ID2101.05156 (version 1)
Pith IDQ7ZH2CRV, Pith's permanent record of this paper and its review
CitationM.M. Mahmoodian, M.V. Entin. "Electron states on the smooth edge of 2D topological insulator: elastic backscattering and light absorption." arXiv:2101.05156 (2021). https://pith.science/paper/Q7ZH2CRV
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The compiled record

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, 7,897 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of linear dispersion, others have gapped Dirac spectra. The optical selection rules are found. The optical transitions between the neighboring edge states appear in the global 2D gap for the in-plane light electric field directed across the edge. The electrons in linear edge states have no backscattering, that is indicative of the fact of topological protection. However, when linear edge states get to the energy domain of Dirac edge states, the backscattering becomes permitted. The elastic backscattering rate is found. The Drude-like conductivity is found when the Fermi level gets into the energy domain of the coexistence of linear and Dirac edge states. The localization edge conductance of a finite sample at zero temperature is determined.

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 The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. method 0.91 0.35 0.03 asserted 0.97
s1 A smooth transition between TI and OI is assumed. method 0.94 0.24 0.03 asserted 0.90
s2 The edge states are formed in the total gap of homogeneous 2D material. method 0.45 0.18 0.05 asserted 1.00
s3 A pair of these states are of linear dispersion, others have gapped Dirac spectra. result 0.90 0.46 0.08 asserted 1.00
s4 The optical selection rules are found. result 0.72 0.90 0.06 asserted 1.00
s5 The optical transitions between the neighboring edge states appear in the global 2D gap for the in-plane light electric field directed across the edge. result 1.00 0.85 0.14 asserted 1.00
s6 The electrons in linear edge states have no backscattering, that is indicative of the fact of topological protection. interpretation 0.53 0.52 0.24 asserted 0.68
s7 However, when linear edge states get to the energy domain of Dirac edge states, the backscattering becomes permitted. result 0.98 0.59 0.21 asserted 0.98
s8 The elastic backscattering rate is found. result 0.92 0.91 0.09 asserted 1.00
s9 The Drude-like conductivity is found when the Fermi level gets into the energy domain of the coexistence of linear and Dirac edge states. result 1.00 0.91 0.13 asserted 1.00
s10 The localization edge conductance of a finite sample at zero temperature is determined. result 0.98 0.89 0.11 asserted 1.00

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

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of linear dispersion, others have gapped Dirac spectra. The optical selection rules are found. The optical transitions between the neighboring edge states appear in the global 2D gap for the in-plane light electric field directed across the edge. The electrons in linear edge states have no backscattering, that is indicative of the fact of topological protection. However, when linear edge states get to the energy domain of Dirac edge states, the backscattering becomes permitted. The elastic backscattering rate is found. The Drude-like conductivity is found when the Fermi level gets into the energy domain of the coexistence of linear and Dirac edge states. The localization edge conductance of a finite sample at zero temperature is determined.

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