双曲曲面上$XY$模型中的曲率诱导阻挫
Curvature-induced frustration in the $XY$ model on hyperbolic surfaces
摘要：
研究了负曲面上$XY$自旋模型的低温性质。表面的几何曲率引起了局部自旋组态的挫折，这导致了分散在系统中的高能自旋团簇的形成。自旋玻璃极化率的渐近行为表明零温度玻璃化转变，这是由于多个自旋团簇的最佳配置，由于非零的表面曲率的系统。这意味着，如果将规则晶格置于负弯曲空间（如双曲曲面）之上，则规则晶格上的恒定铁磁自旋相互作用可以表现出玻璃状行为而不具有任何无序。
英文摘要：
We study low-temperature properties of the $XY$ spin model on a negatively curved surface. Geometric curvature of the surface gives rise to frustration in local spin configuration, which results in the formation of high-energy spin clusters scattered over the system. Asymptotic behavior of the spin-glass susceptibility suggests a zero-temperature glass transition, which is attributed to multiple optimal configurations of spin clusters due to nonzero surface curvature of the system. It implies that a constant ferromagnetic spin interaction on a regular lattice can exhibit glasslike behavior without possessing any disorder if the lattice is put on top of a negatively curved space such as a hyperbolic surface.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
