PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Theoretical Developments
Study of 3-dimensional SU(2) gauge theory with adjoint Higgs as a model for cuprate superconductors
G. Catumba, A. Hiraguchi, G.W.S. Hou, K. Jansen, Y.J. Kao, C.J.D. Lin, A. Ramos and M. Sarkar*
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Pre-published on: December 27, 2023
Published on: November 06, 2024
Abstract
We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint
representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the
physics of cuprate superconductors near optimal doping. The symmetric confining phase of the
theory corresponds to the usual Fermi-liquid phase while the broken (Higgs) phase is associated
with the interesting pseudogap phase of cuprates. We employ the Hybrid Monte-Carlo algorithm
to study the phase diagram of the theory. We find the existence of a variety of broken phases in
qualitative accordance with earlier mean-field predictions and discuss their role in cuprates. In
addition, we investigate the behavior of Polyakov loop to probe the confinement/deconfinement
phase transition, and find that the Higgs phase hosts a stable deconfining phase consistent with
previous studies.
DOI: https://doi.org/10.22323/1.453.0362
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