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Quasi-one-dimensional supersolids in Luther-Emery liquids

Ying-Ming Xie1,* and Naoto Nagaosa1,2,†

  • *Contact author: yingming.xie@riken.jp
  • †Contact author: nagaosa@riken.jp
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Phys. Rev. Research 7, 023302 – Published 24 June, 2025

DOI: https://doi.org/10.1103/h3l5-njrd

Abstract

The supersolid is a long-sought phase in condensed matter physics, characterized by the coexistence of density wave and superfluid orders. This phase is counterintuitive, as different symmetry-breaking orders typically compete with one another. A deeper understanding of how such a state forms in condensed matter systems remains an open question, especially in quasi-one-dimensional correlated systems. In this work, we investigate the emergence of supersolids in Luttinger-Emery liquids using a variational method. As the system consists of coupled Luttinger-Emery liquid chains, we refer to this phase as a quasi-one-dimensional supersolid. Notably, we demonstrate that the quasi-one-dimensional supersolid phase is energetically favorable in chains with finite size or short-range order. Furthermore, we investigate the collective dynamics of these coexisting charge density waves and superconducting states, identifying a quasi-Goldstone mode. Our theory provides valuable insights into both the ground state and the dynamic properties of supersolids in strongly correlated systems.

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Phys. Rev. Research 7, 023302– Published 24 June, 2025
  • Received 7 January 2025
  • Accepted 29 May 2025
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