Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics


Zerf, N, Boyack, R, Marquard, P, Gracey, JA ORCID: 0000-0002-9101-2853 and Maciejko, J (2020) Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics Physical Review D, 101 (9). 094505-. ISSN 2470-0010, 2470-0029

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Abstract

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in high-energy physics to fractionalized phases of strongly correlated materials in condensed matter physics. For a sufficiently large number Nf of flavors of four-component Dirac fermions, recent sign-problem-free quantum Monte Carlo studies of lattice quantum electrodynamics (QED3) on the square lattice have found evidence for a continuous quantum phase transition between a power-law correlated conformal QED3 phase and a confining valence-bond-solid phase with spontaneously broken point-group symmetries. The critical continuum theory of this transition was shown to be the O(2) QED3-Gross-Neveu model, equivalent to the gauged Nambu-Jona-Lasinio model, and critical exponents were computed to first order in the large-Nf expansion and the ϵ expansion. We extend these studies by computing critical exponents to second order in the large-Nf expansion and to four-loop order in the ϵ expansion below four spacetime dimensions. In the latter context, we also explicitly demonstrate that the discrete Z4 symmetry of the valence-bond-solid order parameter is dynamically enlarged to a continuous O(2) symmetry at criticality for all values of Nf.

Item Type: Article
Additional Information: 16 pages, 6 figures, 8 tables; v2: published version
Uncontrolled Keywords: cond-mat.str-el, cond-mat.str-el, hep-lat, hep-th
Depositing User: Symplectic Admin
Date Deposited: 30 Apr 2020 10:38
Last Modified: 24 Jan 2026 02:31
DOI: 10.1103/PhysRevD.101.094505
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3085259
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