Dynamical signatures of Hardcore-Boson Supersolid on the Triangular Lattice

Abstract

We investigate the dynamical signatures of the supersolid phase in the triangular-lattice hardcore Bose-Hubbard model via large-scale quantum Monte Carlo simulations and linear spin-wave theory. We reveal a distinct momentum-space separation in the spectral weights. The transverse spectrum shows gapless Goldstone modes at the Γ and K points, while the longitudinal spectrum features a gapless mode at K and a roton-like minimum at M. Directly in the imaginary-time domain, the supersolid is unambiguously characterized by the coexistence of transverse spectral lines at Γ and K. Furthermore, we show that strong quantum fluctuations induce a breakdown of the sharp quasiparticle picture, leading to asymmetric line shapes and broad continua. Our work establishes the definitive dynamical signatures of the hardcore-boson supersolid, providing key insights into analogous spin supersolids in triangular quantum magnets.

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BibTeX RIS

BibTeX

@misc{zhu2026dynamical,
  title = {{Dynamical signatures of Hardcore-Boson Supersolid on the Triangular Lattice}},
  author = {Xingchuan Zhu and Qingyang Guo and Junsong Sun and Yujun Fu and Xingmin Huo and Yixuan Huang and Shiping Feng and Richard T. Scalettar and Huaiming Guo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06487},
  eprint = {2609.06487},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06487},
}

RIS

TY  - UNPB
TI  - Dynamical signatures of Hardcore-Boson Supersolid on the Triangular Lattice
AU  - Xingchuan Zhu
AU  - Qingyang Guo
AU  - Junsong Sun
AU  - Yujun Fu
AU  - Xingmin Huo
AU  - Yixuan Huang
AU  - Shiping Feng
AU  - Richard T. Scalettar
AU  - Huaiming Guo
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.06487
UR  - https://arxiv.org/abs/2609.06487
AB  - We investigate the dynamical signatures of the supersolid phase in the triangular-lattice hardcore Bose-Hubbard model via large-scale quantum Monte Carlo simulations and linear spin-wave theory. We reveal a distinct momentum-space separation in the spectral weights. The transverse spectrum shows gapless Goldstone modes at the Γ and K points, while the longitudinal spectrum features a gapless mode at K and a roton-like minimum at M. Directly in the imaginary-time domain, the supersolid is unambiguously characterized by the coexistence of transverse spectral lines at Γ and K. Furthermore, we show that strong quantum fluctuations induce a breakdown of the sharp quasiparticle picture, leading to asymmetric line shapes and broad continua. Our work establishes the definitive dynamical signatures of the hardcore-boson supersolid, providing key insights into analogous spin supersolids in triangular quantum magnets.
ER  -

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