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Second-quantization picture of the edge currents in the fractional quantum Hall effect

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Nevena Ilieva, Walter Thirring

Mathematical Physics · Submitted 24 Oct 2000

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

The authors' main claim It is shown how in this second quantized picture a Laughlin-type wave function emerges.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath-ph/0010038 (version 2)
Pith IDO3PR6IDE, Pith's permanent record of this paper and its review
CitationNevena Ilieva, Walter Thirring. "Second-quantization picture of the edge currents in the fractional quantum Hall effect." arXiv:math-ph/0010038 (2000). https://pith.science/paper/O3PR6IDE
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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, 3,448 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. The dynamics separates into a microscopic and macroscopic mode. The latter is a circular Hall current which is described by a chiral quantum field theory. It is shown how in this second quantized picture a Laughlin-type wave function emerges.

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 study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. contribution 0.59 0.62 0.03 asserted 0.83
s1 The dynamics separates into a microscopic and macroscopic mode. result 0.78 0.66 0.07 asserted 1.00
s2 The latter is a circular Hall current which is described by a chiral quantum field theory. result 0.87 0.66 0.26 asserted 1.00
s3 It is shown how in this second quantized picture a Laughlin-type wave function emerges. result 0.81 0.87 0.41 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 v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

We study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. The dynamics separates into a microscopic and macroscopic mode. The latter is a circular Hall current which is described by a chiral quantum field theory. It is shown how in this second quantized picture a Laughlin-type wave function emerges.

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