Moiré pattern of a spin liquid and a Néel magnet in the Kitaev model

R. Wang, P. Wang, K. L. Zhang, Z. Song
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引用次数: 1

Abstract

A moire pattern occurs when two periodic structures in a system have a slight mismatch period, resulting the coexistence of distinct phases in different large-scale spacial regions of the same system. Two periodic structures can arise from periodic electric and magnetic fields, respectively. We investigated the moire pattern via a dimerized Kitaev spin chain with a periodic transverse field, which can be mapped onto the system of dimerized spinless fermions with p-wave superconductivity. The exact solution for staggered field demonstrated that the ground state has two distinct phases: (i) Neel magnetic phase for nonzero field, (ii) Spin liquid phase due to the emergence of isolated flat Bogoliubov--de Gennes band for vanishing field. We computed the staggered magnetization and local density of states (\textrm{LDOS}) for the field with a slight difference period to the chain lattice. Numerical simulation demonstrated that such two phases appear alternatively along the chain with a long beat period. Additionally, we proposed a dynamic scheme to detect the Moire fringes based on the measurement of Loschmidt echo (\textrm{LE}) in the presence of local perturbation.
基塔耶夫模型中自旋液体和nsamel磁体的莫尔条纹
当一个系统中的两个周期结构有轻微的错配周期时,就会出现云纹图案,从而导致同一系统的不同大尺度空间区域中不同相位的共存。两种周期结构可以分别由周期电场和周期磁场产生。我们通过一个具有周期性横向场的二聚基塔耶夫自旋链研究了云纹图案,它可以映射到具有p波超导性的二聚无自旋费米子系统。交错场的精确解表明,基态有两个不同的相位:(i)非零场的Neel磁相位;(ii)消失场的自旋液相,由于孤立的平坦Bogoliubov- de Gennes带的出现。我们计算了与链晶格有轻微差异周期的场的交错磁化强度和局部态密度(\textrm{LDOS})。数值模拟结果表明,这两个相沿链交替出现,并且具有较长的拍频周期。此外,我们提出了一种基于局部扰动存在下的洛施密特回波(\textrm{LE})测量的动态莫尔条纹检测方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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