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Critical behavior of a chiral superfluid in a bipartite square lattice

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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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Junichi Okamoto, Wen-Min Huang, Robert Höppner, Ludwig Mathey

Quantum Gases · Submitted 24 Aug 2017

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

The authors' main claim We demonstrate that the system is in a different universality class than the previously studied condensation in a frustrated triangular lattice due to an additional Umklapp scattering term, which stabilizes the chiral superfluid order at low temperatures.

how it is stated · asserted 1.00 read the record →

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arXiv ID1708.07550 (version 2)
Pith IDOPZMZPK7, Pith's permanent record of this paper and its review
CitationJunichi Okamoto, Ludwig Mathey, Robert H\"oppner, Wen-Min Huang. "Critical behavior of a chiral superfluid in a bipartite square lattice." arXiv:1708.07550 (2017). https://pith.science/paper/OPZMZPK7
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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, 4,316 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.95 · 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 critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. Within our field theoretical representation of the system, we approximate the system as a two-component Bose gas in three dimensions. We demonstrate that the system is in a different universality class than the previously studied condensation in a frustrated triangular lattice due to an additional Umklapp scattering term, which stabilizes the chiral superfluid order at low temperatures. We derive the renormalization group flow of the system and show that this order persists in the low energy limit. Furthermore, the renormalization flow suggests that the phase transition from the thermal phase to the chiral superfluid state is first order.

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 critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. contribution 0.95 0.94 0.06 asserted 0.89
s1 Within our field theoretical representation of the system, we approximate the system as a two-component Bose gas in three dimensions. method 0.99 0.88 0.03 asserted 0.94
s2 We demonstrate that the system is in a different universality class than the previously studied condensation in a frustrated triangular lattice due to an additional Umklapp scattering term, which stabilizes the chiral superfluid order at low temperatures. result 0.92 0.92 0.51 asserted 1.00
s3 We derive the renormalization group flow of the system and show that this order persists in the low energy limit. result 0.89 0.96 0.18 asserted 1.00
s4 Furthermore, the renormalization flow suggests that the phase transition from the thermal phase to the chiral superfluid state is first order. result 0.96 0.93 0.43 hedged possibility 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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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

We study the critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. Within our field theoretical representation of the system, we approximate the system as a two-component Bose gas in three dimensions. We demonstrate that the system is in a different universality class than the previously studied condensation in a frustrated triangular lattice due to an additional Umklapp scattering term, which stabilizes the chiral superfluid order at low temperatures. We derive the renormalization group flow of the system and show that this order persists in the low energy limit. Furthermore, the renormalization flow suggests that the phase transition from the thermal phase to the chiral superfluid state is first order.

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