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The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality

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arxiv 1303.6858 v1 pith:3I2PO2HH submitted 2013-03-27 cond-mat.str-el hep-latquant-ph

classification cond-mat.str-elhep-latquant-ph
keywords quantummodelcriticalitydeconfinedlinkphasetheorytransition
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The $(2+1)$-d U(1) quantum link model is a gauge theory, amenable to quantum simulation, with a spontaneously broken SO(2) symmetry emerging at a quantum phase transition. Its low-energy physics is described by a $(2+1)$-d $\RP(1)$ effective field theory, perturbed by a dangerously irrelevant SO(2) breaking operator, which prevents the interpretation of the emergent pseudo-Goldstone boson as a dual photon. At the quantum phase transition, the model mimics some features of deconfined quantum criticality, but remains linearly confining. Deconfinement only sets in at high temperature.

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Cited by 4 Pith papers

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

  1. Geometric fragmentation and anomalous thermalization in cubic dimer model

    hep-lat 2025-08 unverdicted novelty 7.0 of 10

    External electric fields in 3D U(1) quantum dimer models with staggered matter induce geometric fragmentation, weak fragmentation, and fractonic excitations in large winding sectors, producing anomalous thermalization.

  2. 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.

  3. 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.

  4. Fractionalization of flux tubes in 3d and screening by emergent electric charges in 2d

    hep-th 2024-12 conditional novelty 6.0 of 10

    In charge-n monopole theories on a twisted cylinder, even n gives complete screening with emergent ±2/n charges, while odd n keeps a reduced-tension confining string.

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