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Exact Rokhsar-Kivelson points hosting first-order phase transitions in $S=1$ compass models — arXiv:2611.05326

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.05326
License (as archived): CC0-1.0
Archived: 2026-11-04T19:09:48.879Z
SHA-256 of the archived text: 282fa0ca56526254660a014e785771d74d51431042ee2139551aa7f0c1ef10a0
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How to cite

Exact Rokhsar-Kivelson points hosting first-order phase transitions in $S=1$ compass models — arXiv:2611.05326 — arXiv (en), https://arxiv.org/abs/2611.05326 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c1b2fdfaaeda (Metraipolis archive dc_c1b2fdfaaeda, sha256 282fa0ca56526254660a014e785771d74d51431042ee2139551aa7f0c1ef10a0)

BibTeX

@misc{dcc1b2fdfaaeda,
  title = {Exact Rokhsar-Kivelson points hosting first-order phase transitions in $S=1$ compass models — arXiv:2611.05326},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.05326},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c1b2fdfaaeda; sha256 282fa0ca56526254660a014e785771d74d51431042ee2139551aa7f0c1ef10a0},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.05326. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study $S=1$ compass models on the square and kagome lattices with bond-dependent bilinear and biquadratic interactions parametrized by an angle $\theta$. For compatible geometries, we determine the exact ground-state manifolds throughout the interval $\pi/4\leq\theta\leq3\pi/4$. At each endpoint, a product of on-site unitaries maps the Hamiltonian to the Laplacian of a configuration graph $\mathcal{G}$ in the $S=1$ Cartesian basis. These endpoints are exact Rokhsar-Kivelson (RK) points, with one ground state per dynamically connected component of $\mathcal{G}$. Each such state is an equal-amplitude superposition in the transformed basis and acquires configuration-dependent phases upon transforming back to the original basis. Both models possess $m=O(L)$ independent and mutually commuting conserved $\mathbb{Z}_2$ line charges, where $L$ is the linear system size, forcing a ground-state degeneracy of at least $2^m$ at the RK endpoints. Throughout the interior region, $\pi/4<\theta<3\pi/4$, the ground-state manifold on each lattice is instead spanned by two product states, both annihilated by the Hamiltonian. On both lattices, each RK endpoint also hosts a first-order transition into this intervening interior phase spanned by the two product states with long-range order.

Tema degli esploratori: fisica e astronomia (elenco arXiv cond-mat.stat-mech, nuovi lavori del giorno).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Strongly Correlated Electrons (cond-mat.str-el).
Pagina del lavoro: https://arxiv.org/abs/2611.05326 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-04T18:42:52.655Z dalla pagina https://arxiv.org/list/cond-mat.stat-mech/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).