Quasi-one-dimensional supersolids in Luther-Emery liquids

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 con...

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Main Authors: Ying-Ming Xie, Naoto Nagaosa
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/h3l5-njrd
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author Ying-Ming Xie
Naoto Nagaosa
author_facet Ying-Ming Xie
Naoto Nagaosa
author_sort Ying-Ming Xie
collection DOAJ
description 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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institution Kabale University
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spelling doaj-art-24656d87b54e413785a06dd0c4ae79772025-08-20T03:32:07ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202330210.1103/h3l5-njrdQuasi-one-dimensional supersolids in Luther-Emery liquidsYing-Ming XieNaoto NagaosaThe 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.http://doi.org/10.1103/h3l5-njrd
spellingShingle Ying-Ming Xie
Naoto Nagaosa
Quasi-one-dimensional supersolids in Luther-Emery liquids
Physical Review Research
title Quasi-one-dimensional supersolids in Luther-Emery liquids
title_full Quasi-one-dimensional supersolids in Luther-Emery liquids
title_fullStr Quasi-one-dimensional supersolids in Luther-Emery liquids
title_full_unstemmed Quasi-one-dimensional supersolids in Luther-Emery liquids
title_short Quasi-one-dimensional supersolids in Luther-Emery liquids
title_sort quasi one dimensional supersolids in luther emery liquids
url http://doi.org/10.1103/h3l5-njrd
work_keys_str_mv AT yingmingxie quasionedimensionalsupersolidsinlutheremeryliquids
AT naotonagaosa quasionedimensionalsupersolidsinlutheremeryliquids