The optical Su-Schrieffer-Heeger model on a triangular lattice
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913006794833920 |
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| author | Casebolt, Max Costa, Sohan Malkaruge Cohen-Stead, Benjamin Scalettar, Richard Johnston, Steven |
| author_facet | Casebolt, Max Costa, Sohan Malkaruge Cohen-Stead, Benjamin Scalettar, Richard Johnston, Steven |
| contents | We study the triangular lattice optical Su-Schrieffer-Heeger (SSH) model using determinant quantum Monte Carlo. By varying the model's carrier concentration, electron-phonon coupling strength, and phonon energy $Ω$, we identify two doping regimes of interest. At one-quarter filling ($\langle n\rangle = 0.5$), corresponding to the case of a circular noninteracting Fermi surface, we find evidence for a metal to insulating bond-order-wave (BOW) phase transition that breaks a local $C_6$ rotational symmetry. Conversely, at three-quarters filling ($\langle n\rangle = 1.5$), corresponding to a hexagonal Fermi surface, we find evidence for transitions to another BOW phase for small $Ω$ and an $s$-wave superconducting phase for sufficiently large $Ω$. This tendency toward pairing appears to be associated with the possibility of a sign change in the effective intersite hopping, which can occur for sufficiently large lattice displacements. We also find no evidence for enhanced magnetic correlations in the model, contrary to what has been reported for square lattice SSH models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_04123 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The optical Su-Schrieffer-Heeger model on a triangular lattice Casebolt, Max Costa, Sohan Malkaruge Cohen-Stead, Benjamin Scalettar, Richard Johnston, Steven Strongly Correlated Electrons Superconductivity We study the triangular lattice optical Su-Schrieffer-Heeger (SSH) model using determinant quantum Monte Carlo. By varying the model's carrier concentration, electron-phonon coupling strength, and phonon energy $Ω$, we identify two doping regimes of interest. At one-quarter filling ($\langle n\rangle = 0.5$), corresponding to the case of a circular noninteracting Fermi surface, we find evidence for a metal to insulating bond-order-wave (BOW) phase transition that breaks a local $C_6$ rotational symmetry. Conversely, at three-quarters filling ($\langle n\rangle = 1.5$), corresponding to a hexagonal Fermi surface, we find evidence for transitions to another BOW phase for small $Ω$ and an $s$-wave superconducting phase for sufficiently large $Ω$. This tendency toward pairing appears to be associated with the possibility of a sign change in the effective intersite hopping, which can occur for sufficiently large lattice displacements. We also find no evidence for enhanced magnetic correlations in the model, contrary to what has been reported for square lattice SSH models. |
| title | The optical Su-Schrieffer-Heeger model on a triangular lattice |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2604.04123 |