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Stability of current-carrying states in hard-core bosons with long-range hopping on a square lattice

Yoshihiro Yabuuchi1,2,* and Ippei Danshita2,†

  • *Contact author: sf23347z@st.omu.ac.jp
  • †Contact author: danshita@phys.kindai.ac.jp
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Phys. Rev. A 113, 063315 – Published 15 June, 2026

DOI: https://doi.org/10.1103/xvx2-n5j2

Abstract

We investigate the stability of current-carrying states with quasimomentum K in the Bose-condensed phase of the hard-core Bose-Hubbard model on a square lattice, where particles transfer between two sites separated by distance r with hopping amplitude decaying algebraically with r as ∝r−α. Using a mean-field theory, we analyze the excitation spectrum and determine the critical quasimomenta associated with Landau and dynamical instabilities. We find that the long-range hopping suppresses the critical quasimomenta and makes them vanish at α=3. Near α=3, we show that the critical quasimomentum Kc for the dynamical instability exhibits the scaling behavior Kc∝Δ1+Δ with Δ=α−3, where the scaling exponent explicitly depends on Δ, as a consequence of the long-range nature of the hopping.

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Phys. Rev. A 113, 063315– Published 15 June, 2026
  • Received 18 November 2025
  • Accepted 19 May 2026
Article part of CHORUS
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