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Theoretical investigation of thermostability of incompressible channels in quantum Hall states

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Tao Yang, Keith A. Benedict

Strongly Correlated Electrons · Submitted 29 Nov 2013

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

The authors' main claim With increasing temperature a bulk incompressible strip will decay from the middle and separate into two edge channels by a density ramp, while an incompressible edge channel reduces its size from both sides until vanishes.

how it is stated · asserted 1.00 read the record →

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arXiv ID1311.7454 (version 1)
Pith IDDJ2AAQMF, Pith's permanent record of this paper and its review
CitationKeith A. Benedict, Tao Yang. "Theoretical investigation of thermostability of incompressible channels in quantum Hall states." arXiv:1311.7454 (2013). https://pith.science/paper/DJ2AAQMF
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,622 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · 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; .

In this work we use self-consistent method considering a two dimensional electron gas system in the integer quantum Hall regime, to calculate the temperature induced decay of incompressible stripes. There are two types of incompressible strips which can form in a Hall bar system by varying the electron density or magnetic field. We observe that the way of collapse of incompressible strips strongly depends on the type of them. With increasing temperature a bulk incompressible strip will decay from the middle and separate into two edge channels by a density ramp, while an incompressible edge channel reduces its size from both sides until vanishes.

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 In this work we use self-consistent method considering a two dimensional electron gas system in the integer quantum Hall regime, to calculate the temperature induced decay of incompressible stripes. method 0.57 0.94 0.06 asserted 0.96
s1 There are two types of incompressible strips which can form in a Hall bar system by varying the electron density or magnetic field. background 0.99 0.11 0.03 asserted 0.87
s2 We observe that the way of collapse of incompressible strips strongly depends on the type of them. result 1.00 0.93 0.26 asserted 1.00
s3 With increasing temperature a bulk incompressible strip will decay from the middle and separate into two edge channels by a density ramp, while an incompressible edge channel reduces its size from both sides until vanishes. result 1.00 0.91 0.74 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.85 · evidence from simulation or computation 0.93.

What was examined, and what was not

sources read
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not examined
  • 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

In this work we use self-consistent method considering a two dimensional electron gas system in the integer quantum Hall regime, to calculate the temperature induced decay of incompressible stripes. There are two types of incompressible strips which can form in a Hall bar system by varying the electron density or magnetic field. We observe that the way of collapse of incompressible strips strongly depends on the type of them. With increasing temperature a bulk incompressible strip will decay from the middle and separate into two edge channels by a density ramp, while an incompressible edge channel reduces its size from both sides until vanishes.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Cites as background 3 papers
  • The formation of alternating strips of compressible and incompressible strips [ref] in a gate-confined two-dimensional electron gas (2DEG) is important for understanding the mechanism of many phenomena in the quantum Hall regime, such as the transport properties of the edge states [ref] , heat transport in quantum Hall effect (QHE) samples [ref] , spatial distribution of local electron temperature [ref] , quantum Hall breakdown (QHBD) [ref] , topologically protected states in the fractional QHE [ref] and in novel topological states at zero magnetic field [ref] .

    Local Thermometry of Neutral Modes on the Quantum Hall Edge · Introduction · 0.98

  • The dependence of the widths and position of compressible and incompressible strips on the filling factor [ref] , confinement potential [ref] and imposed external current [ref] has been widely studied both theoretically and experimentally.

    The effect of the frozen and pinned surface approximations on the spatial distribution of incompressible and compressible strips in quantum Hall regime · Introduction · 0.95

  • The dependence of the widths and position of compressible and incompressible strips on the filling factor [ref] , confinement potential [ref] and imposed external current [ref] has been widely studied both theoretically and experimentally.

    Edge electrostatics revisited · Introduction · 0.95

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