F-AF自旋链在精确可解点附近的标度性质
Scaling Property of the F-AF Spin Chain Near the Exactly Solvable Point
摘要：
在$z$ -方向上最近邻的$J_1$相互作用具有与$J_1 (1-α)$相同的弱各向异性的情况下，我们用$J_1<0$和$J_2>0$研究了$J_1$-$J_2$自旋为1/2的链的基态。我们对小$α$和$λ\equiv J_2- |J_1|/4$进行了微扰分析，得到了$α= λ= 0$未微扰基态的精确解。详细研究了基态能量的标度性质。通过对有限尺寸体系的数值对角化分析，得到了自旋流体与二聚物相之间的相边界方程为$α_{\rm c} = 14 λ_{\rm c}^{4/3}$。
英文摘要：
We investigate the ground state of the $J_1$-$J_2$ spin-1/2 chain with $J_1<0$ and $J_2>0$ in the case that the nearest-neighbor $J_1$ interaction in the $z$-direction has a weak anisotropy as $J_1 (1-α)$. We perform a perturbational analysis for small $α$ and $λ\equiv J_2- |J_1|/4$ with the exact solution of the unperturbed ground state for $α= λ= 0$. The scaling property of the ground state energy is examined in detail. By the numerical diagonalization analysis of finite size systems, we found the phase boundary equation between the spin fluid and dimer phases as $α_{\rm c} = 14 λ_{\rm c}^{4/3}$.
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。
