论文标题

沮丧的自旋1系统的量子阶段:5/7偏斜的梯子

Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder

论文作者

Das, Sambunath, Dey, Dayasindhu, Kumar, Manoranjan, Ramasesha, S.

论文摘要

使用高达16个旋转的精确对角线化技术,并使用对较大系统尺寸的密度矩阵重新分配组方法进行数值研究,以交替融合的五元和七元环形成的自旋1偏斜梯子系统中的量子相进行数值研究。梯子具有固定的各向同性抗铁磁(AF)交换互动($ j_2 = 1 $),沿腿部最近的邻居旋转和沿跑步的各向同性AF交换($ j_1 $)之间的变化。作为$ j_1 $的函数,该系统显示了许多有趣的接地状态(GS),这些状态与不同类型的非磁性和非磁性GS不同。对旋转间隙,自旋旋转相关性,自旋密度和键顺序等各种GS特性的研究表明,该系统具有四个不同的阶段,即小$ J_1 $的AF相;带有GS旋转$ S_G = N $的Ferrimagnetic阶段,$ 1.44 <j_1 <4.74 $,$ s_g = 2n $ for $ j_1> 5.63 $,其中$ n $是单位单元的数量;以及$ 4.74 <j_1 <5.44 $的重新进入非磁性阶段。该系统还显示了由于反射和自旋平均对称性的同时破坏了特定$ J_1 $值的旋转电流。

The quantum phases in a spin-1 skewed ladder system formed by alternately fusing five- and seven-membered rings are studied numerically using the exact diagonalization technique up to 16 spins and using the density matrix renormalization group method for larger system sizes. The ladder has a fixed isotropic antiferromagnetic (AF) exchange interaction ($J_2 = 1$) between the nearest-neighbor spins along the legs and a varying isotropic AF exchange interaction ($J_1$) along the rungs. As a function of $J_1$, the system shows many interesting ground states (gs) which vary from different types of nonmagnetic and ferrimagnetic gs. The study of diverse gs properties such as spin gap, spin-spin correlations, spin density and bond order reveal that the system has four distinct phases, namely, the AF phase at small $J_1$; the ferrimagnetic phase with gs spin $S_G = n$ for $1.44 < J_1 < 4.74$ and with $S_G = 2n$ for $J_1 > 5.63$, where $n$ is the number of unit cells; and a reentrant nonmagnetic phase at $4.74 < J_1 < 5.44$. The system also shows the presence of spin current at specific $J_1$ values due to simultaneous breaking of both reflection and spin parity symmetries.

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