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Nematic antiferromagnetism and deconfined criticality from the interplay between electron-phonon and electron-electron interactions

Chao Wang1, Yoni Schattner1,2, and Steven A. Kivelson1

  • 1Department of Physics, Stanford University, Stanford, California 94305, USA
  • 2Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, and Stanford University, Menlo Park, California 94025, USA

Phys. Rev. B 104, L081110 – Published 18 August, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L081110

Abstract

Systems with strong electron-phonon couplings typically exhibit various forms of charge order, while strong electron-electron interactions lead to magnetism. We use determinant quantum Monte Carlo calculations to solve a model on a square lattice with a caricature of these interactions. In the limit where electron-electron interactions dominate it has antiferromagnetic order, while where electron-phonon coupling dominates there is columnar valence-bond-solid (VBS) order. We find an intervening phase that hosts coexisting nematic and antiferromagnetic orders. We have also found evidence of a Landau-forbidden continuous quantum phase transition with an emergent O(4) symmetry between the VBS and the nematic antiferromagnetic phases.

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