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From the $SU(2)$ Quantum Link Model on the Honeycomb Lattice to the Quantum Dimer Model on the Kagom\'e Lattice: Phase Transition and Fractionalized Flux Strings

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arxiv 1712.08300 v2 pith:BGMINQ2Z submitted 2017-12-22 cond-mat.str-el cond-mat.stat-mechhep-lat

D. Banerjee , F.-J. Jiang , T. Z. Olesen , P. Orland , U.-J. Wiese This is my paper · ORCID
classification cond-mat.str-elcond-mat.stat-mechhep-lat
keywords modellatticepinwheelquantumfluxfractionalizedphasesstrings
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider the $(2+1)$-d $SU(2)$ quantum link model on the honeycomb lattice and show that it is equivalent to a quantum dimer model on the Kagom\'e lattice. The model has crystalline confined phases with spontaneously broken translation invariance associated with pinwheel order, which is investigated with either a Metropolis or an efficient cluster algorithm. External half-integer non-Abelian charges (which transform non-trivially under the $\mathbb{Z}(2)$ center of the $SU(2)$ gauge group) are confined to each other by fractionalized strings with a delocalized $\mathbb{Z}(2)$ flux. The strands of the fractionalized flux strings are domain walls that separate distinct pinwheel phases. A second-order phase transition in the 3-d Ising universality class separates two confining phases; one with correlated pinwheel orientations, and the other with uncorrelated pinwheel orientations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. String dynamics of a (2+1)D U(1) quantum link model on a digital quantum computer

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.

  2. Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model

    hep-lat 2026-02 conditional novelty 6.0 of 10

    In an SU(2) quantum link model on a hexagonal lattice, the static quark potential shows a coupling-dependent Lüscher term and logarithmically growing string width, indicating a rough confining string with no continuum limit.

  3. Towards Quantum Simulation of Rotating Nuclei using Quantum Variational Algorithms

    nucl-th 2025-06 reject novelty 4.0 of 10

    VQE on small CNS-inspired nuclear models matches exact diagonalization only in the simplest cases, with errors up to 1.09 in the 8-qubit models, despite the abstract claiming errors below 1e-4.

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