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Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field

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Ian Osborne, Gustavo M. Monteiro, Barry Bradlyn

Mesoscale and Nanoscale Physics · Submitted 7 Jun 2024

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

The authors' main claim We show that the breaking of rotational symmetry is a necessary but not a sufficient condition for an anisotropic ground state stress tensor, and that the anisotropic stress originates primarily from quantum effects.

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arXiv ID2406.05284 (version 2)
Pith IDRLMK4BP5, Pith's permanent record of this paper and its review
CitationBarry Bradlyn, Gustavo M. Monteiro, Ian Osborne. "Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field." arXiv:2406.05284 (2024). https://pith.science/paper/RLMK4BP5
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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, 3,676 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.37 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.17 · 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 the hydrostatic stress of electrons strongly confined in a quasi-2D quantum well in the presence of a strong perpendicular and weak in-plane magnetic field. This introduces anisotropy into the stress tensor which is inconsistent with the notion of the quantum Hall droplet as a simple two-dimensional electron fluid. We show that the breaking of rotational symmetry is a necessary but not a sufficient condition for an anisotropic ground state stress tensor, and that the anisotropic stress originates primarily from quantum effects. We demonstrate this by decomposing the semiclassical trajectories of electrons in the system onto planes in phase space which must be rotated relative to the plane of the fluid to decouple the Hamiltonian.

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 the hydrostatic stress of electrons strongly confined in a quasi-2D quantum well in the presence of a strong perpendicular and weak in-plane magnetic field. contribution 0.78 0.74 0.04 asserted 0.74
s1 This introduces anisotropy into the stress tensor which is inconsistent with the notion of the quantum Hall droplet as a simple two-dimensional electron fluid. interpretation 0.67 0.41 0.41 asserted 1.00
s2 We show that the breaking of rotational symmetry is a necessary but not a sufficient condition for an anisotropic ground state stress tensor, and that the anisotropic stress originates primarily from quantum effects. result 0.95 0.94 0.67 asserted 1.00
s3 We demonstrate this by decomposing the semiclassical trajectories of electrons in the system onto planes in phase space which must be rotated relative to the plane of the fluid to decouple the Hamiltonian. method 0.99 0.91 0.07 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

What was examined, and what was not

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  • references and citing sentences
  • relations to other papers
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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

We examine the hydrostatic stress of electrons strongly confined in a quasi-2D quantum well in the presence of a strong perpendicular and weak in-plane magnetic field. This introduces anisotropy into the stress tensor which is inconsistent with the notion of the quantum Hall droplet as a simple two-dimensional electron fluid. We show that the breaking of rotational symmetry is a necessary but not a sufficient condition for an anisotropic ground state stress tensor, and that the anisotropic stress originates primarily from quantum effects. We demonstrate this by decomposing the semiclassical trajectories of electrons in the system onto planes in phase space which must be rotated relative to the plane of the fluid to decouple the Hamiltonian.

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