AI 中文总结
研究正方晶格上含两种次近邻相互作用的海森堡模型，通过线性自旋波理论计算，发现该模型在不同相互作用强度下呈现交替磁体相、柱状反铁磁体相及中间量子无序相，揭示了它们之间的联系及量子无序相的稳定性。
AI 中文摘要
局域矩磁体中的交替磁性特征为净磁化强度为零，且在无任何自旋各向异性相互作用或外场时，相反手性的磁振子能带分裂。本文研究交替磁体对由磁阻挫引起的量子涨落的鲁棒性。考虑正方晶格上具有两种不同次近邻相互作用（如同棋盘图案）以及最近邻相互作用的海森堡模型，该模型在正方晶格上的\(J_{1}-J_{2}\)海森堡模型和棋盘晶格上的海森堡模型之间连续插值。较弱次近邻相互作用时实现尼尔型交替磁体相，较强时出现柱状反铁磁体。用线性自旋波理论计算两种磁相的磁振子色散、序参量、静态和动态结构因子。还表明存在一个分离两种磁相的中间量子无序相，它与\(J_{1}-J_{2}\)模型中的量子无序相相连，且随着向棋盘晶格极限调整，量子无序区域进一步稳定。
英文摘要
Altermagnetism in the case of local-moment magnets is characterized by zero net magnetization and splitting of opposite chirality magnon bands in the absence of any spin-anisotropic interactions or external field. In this work we investigate the robustness of altermagnets against quantum fluctuations arising from magnetic frustration. We consider a Heisenberg model on a square lattice with two different types of second-neighbor interactions, as in a checkboard pattern, in addition to the nearest-neighbor interaction. This model continuously interpolates between the $J_{1}-J_{2}$ Heisenberg model on the square lattice and the Heisenberg model on the checkerboard lattice. For weaker second-neighbor interactions a Néel-type altermagnet phase is realized. On the other hand, for stronger second-neighbor interactions a columnar antiferromagnet emerges. Using linear spin-wave theory we calculate the magnon dispersion, order parameter, static and dynamical structure factors for the two magnetic phases. Further, we show that there is an intermediate quantum disordered phase separating the two magnetic phases, which is connected to the one realized in the $J_{1}-J_{2}$ model. The quantum disordered region is further stabilized as we tune towards the checkerboard lattice limit.
Comments11 pages, 13 figs
