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Transition between scattering regimes of 2D electron transport

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Philipp Heilmann, Pavlo V. Pyshkin, Björn Trauzettel

Mesoscale and Nanoscale Physics · Submitted 17 Apr 2024

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

The authors' main claim This crossover yields characteristic current density profiles.

how it is stated · asserted 1.00 read the record →

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arXiv ID2404.11353 (version 2)
Pith IDZ4BZD2GD, Pith's permanent record of this paper and its review
CitationBj\"orn Trauzettel, Pavlo V. Pyshkin, Philipp Heilmann. "Transition between scattering regimes of 2D electron transport." arXiv:2404.11353 (2024). https://pith.science/paper/Z4BZD2GD
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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, 5,362 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to diffusive transport if we increase the bulk disorder strength. This crossover yields characteristic current density profiles. Furthermore, we illustrate the current density in the transition from ballistic to hydrodynamic transport. This corresponds to the Gurzhi effect in the resistivity. We also study the influence of finite temperature on current densities and average current in this system. In particular, we analyze how a particular scaling law of electron-electron scattering with respect to temperature affects the current along the channel.

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 We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. contribution 0.72 0.78 0.03 asserted 0.83
s1 At zero temperature, we derive an analytical solution of the transition from ballistic to diffusive transport if we increase the bulk disorder strength. contribution 0.53 0.96 0.31 asserted 1.00
s2 This crossover yields characteristic current density profiles. result 0.99 0.86 0.18 asserted 1.00
s3 Furthermore, we illustrate the current density in the transition from ballistic to hydrodynamic transport. contribution 0.88 0.91 0.09 asserted 1.00
s4 This corresponds to the Gurzhi effect in the resistivity. interpretation 0.93 0.41 0.11 asserted 0.99
s5 We also study the influence of finite temperature on current densities and average current in this system. contribution 1.00 0.93 0.05 asserted 0.94
s6 In particular, we analyze how a particular scaling law of electron-electron scattering with respect to temperature affects the current along the channel. contribution 0.99 0.89 0.09 asserted 0.81

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

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to diffusive transport if we increase the bulk disorder strength. This crossover yields characteristic current density profiles. Furthermore, we illustrate the current density in the transition from ballistic to hydrodynamic transport. This corresponds to the Gurzhi effect in the resistivity. We also study the influence of finite temperature on current densities and average current in this system. In particular, we analyze how a particular scaling law of electron-electron scattering with respect to temperature affects the current along the channel.

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