标题： 三维层间耦合对受挫堆叠三角海森堡模型中中心对称磁旋晶体形成的影响 显示英文标题

标题： Effects of the three-dimensional interplanar coupling on the centrosymmetric skyrmion crystal formation in the frustrated stacked-triangular Heisenberg model

摘要： 三维（3D）层间耦合对中心对称磁旋晶体（SkX）形成的影响通过在堆叠三角晶格上对受挫的各向同性海森堡模型进行广泛的蒙特卡洛模拟进行研究，分别考虑了铁磁（F）和反铁磁（AF）最近邻层间耦合$J_{1c}$。对于F和AF$J_{1c}$，SkX相在有限磁场和有限温度下得到稳定，尽管它会被适度弱的AF$J_{1c}$扰乱。三维短程模型的磁相图或多或少与二维短程模型和二维长程RKKY模型的相图相似。我们发现，在玻璃物理中很常见的副本对称性破缺现象，最近在三维长程RKKY模型的SkX相中被识别出来 [K. Mitsumoto 和 H. Kawamura, Phys. Rev. B{\bf 104}, 184432 (2021)]，但在三维短程模型中并未出现，这表明相互作用的长程特性可能是实现中心对称SkX态中RSB所必需的。 显示英文摘要

摘要： Effects of the three-dimensional (3D) interplanar coupling on centrosymmetric skyrmion crystal (SkX) formation is investigated via extensive Monte Carlo simulations on the frustrated isotropic Heisenberg model on a stacked-triangular lattice in both cases of the ferromagnetic (F) and the antiferromagnetic (AF) nearest-neighbor interplanar coupling $J_{1c}$. The SkX phase is stabilized at finite fields and at finite temperatures for both F and AF $J_{1c}$, although it is destabilized by modestly weak AF $J_{1c}$. The magnetic phase diagram of the 3D short-range model is more or less similar to those of the 2D short-range model and of the 2D long-range RKKY model. We find that an intriguing phenomenon of replica-symmetry breaking, popular in glass physics and recently identified in the SkX phase of the 3D long-range RKKY model [K. Mitsumoto and H. Kawamura, Phys. Rev. B {\bf 104}, 184432 (2021)], does not arise in the 3D short-range model, suggesting that the long-range nature of interaction might be necessary to realize the RSB in centrosymmetric SkX state.