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Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices

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Tamas A. Toth, Andreas M. Laeuchli, Frederic Mila, Karlo Penc

Strongly Correlated Electrons · Submitted 7 Sep 2010

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

The authors' main claim Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order.

how it is stated · asserted 1.00 read the record →

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arXiv ID1009.1398 (version 2)
Pith IDCRR6UTKR, Pith's permanent record of this paper and its review
CitationAndreas M. Laeuchli, Frederic Mila, Karlo Penc, Tamas A. Toth. "Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices." arXiv:1009.1398 (2010). https://pith.science/paper/CRR6UTKR
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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, 3,644 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.51 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order. This surprising pattern for a bipartite lattice with only nearest-neighbor interactions is shown to be the consequence of a subtle quantum order-by-disorder mechanism. By contrast, thermal fluctuations favor two-sublattice configurations via entropic selection. These results are shown to extend to the cubic lattice, and experimental implications for the Mott-insulating states of three-flavor fermionic atoms in optical lattices are discussed.

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 Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order. result 0.96 0.96 0.88 asserted 1.00
s1 This surprising pattern for a bipartite lattice with only nearest-neighbor interactions is shown to be the consequence of a subtle quantum order-by-disorder mechanism. interpretation 0.98 0.92 0.17 asserted 1.00
s2 By contrast, thermal fluctuations favor two-sublattice configurations via entropic selection. result 0.97 0.68 0.05 asserted 1.00
s3 These results are shown to extend to the cubic lattice, and experimental implications for the Mott-insulating states of three-flavor fermionic atoms in optical lattices are discussed. result 0.53 0.82 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.86 · evidence from simulation or computation 0.93.

What was examined, and what was not

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  • references and citing sentences
  • relations to other papers
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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

Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order. This surprising pattern for a bipartite lattice with only nearest-neighbor interactions is shown to be the consequence of a subtle quantum order-by-disorder mechanism. By contrast, thermal fluctuations favor two-sublattice configurations via entropic selection. These results are shown to extend to the cubic lattice, and experimental implications for the Mott-insulating states of three-flavor fermionic atoms in optical lattices are discussed.

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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

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