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首页> 外文期刊>Physical review >Variety of order-by-disorder phases in the asymmetric J_1-J_2 zigzag ladder: From the delta chain to the J_1-J_2 chain
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Variety of order-by-disorder phases in the asymmetric J_1-J_2 zigzag ladder: From the delta chain to the J_1-J_2 chain

机译：不对称J_1-J_2之字形阶梯中的各种按顺序排列的阶段：从增量链到J_1-J_2链

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摘要

We study an asymmetric J_1-J_2 zigzag ladder consisting of two different spin-1/2 antiferromagnetic (AFM; J_2, γJ_2 ＞ 0) Heisenberg legs coupled by zigzag-shaped ferromagnetic (FM; J_1 < 0) interleg interaction. On the basis of density-matrix renormalization group based calculations, the ground-state phase diagram is obtained as functions of y and J_2/|J_1|. It contains four kinds of frustration-induced ordered phases except a trivial FM phase. Two of the ordered phases are valence bond solid (VBS) with spin-singlet dimerization, which is a rather conventional order by disorder. Still, it is interesting to note that the VBS states possesses an Affleck-Kennedy-Lieb-Tasaki-type topological hidden order. The remaining two phases are ferrimagnetic orders, each of which is distinguished by commensurate or incommensurate spin-spin correlation. It is striking that the ferrimagnetic orders are not associated with geometrical symmetry breaking; instead, the global spin-rotation symmetry is broken. In other words, the system lowers its energy via the FM interleg interaction by polarizing both of the AFM Heisenberg legs. This is a rare type of order by disorder. Besides, the incommensurate ferrimagnetic state appears as a consequence of the competition between a polarization and a critical Tomonaga-Luttinger-liquid behavior in the AFM Heisenberg legs.
机译：我们研究了由两个不同的自旋1/2反铁磁（AFM; J_2，γJ_2＞ 0）的Heisenberg腿组成的不对称J_1-J_2之字形梯子，其通过之字形铁磁（FM; J_1 <0）相互作用而相互作用。基于基于密度矩阵重归一化组的计算，获得基态相位图作为y和J_2 / | J_1 |的函数。它包含四个由挫折感引起的有序相，一个微不足道的FM相。有序相中的两个是具有自旋单二聚化的价键固体（VBS），这是无序的相当常规的顺序。不过，有趣的是，VBS州拥有Affleck-Kennedy-Lieb-Tasaki型拓扑隐藏顺序。其余两个阶段是亚铁磁阶，每个阶段都以相称或不相称的自旋-自旋相关性来区分。令人惊讶的是，亚铁磁阶与几何对称性破坏无关。相反，整体自旋旋转对称性被破坏了。换句话说，该系统通过使两根AFM海森堡支腿极化，通过FM腿间相互作用来降低能量。这是一种罕见的无序命令。此外，由于AFM Heisenberg支路中的极化与临界Tomonaga-Luttinger-液体行为之间的竞争，出现了不相称的亚铁磁状态。

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  • 来源
    《Physical review》 |2020年第10期|104407.1-104407.18|共18页
  • 作者

    Tomoki Yamaguchi; Stefan-Ludwig Drechsler; Yukinori Ohta; Satoshi Nishimoto;

  • 作者单位

    Department of Physics Chiba University Chiba 263-8522 Japan;

    Institute for Theoretical Solid State Physics IFW Dresden 01069 Dresden Germany;

    Institute for Theoretical Solid State Physics IFW Dresden 01069 Dresden Germany Department of Physics Technical University Dresden 01069 Dresden Germany;

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