Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2

Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
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自旋 1 和 1/2 的扭曲混合金刚石链中具有自发平移对称击穿的霍尔丹相和亚铁磁相

DOI:
10.1143/jpsj.79.114703
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发表时间:
2010
期刊:
J. Phys. Soc. Jpn
影响因子:
--
通讯作者:
K. Takano and H. Suzuki
K. Takano and H. Suzuki
中科院分区:
--
文献类型:
--
作者:
K. Hida;K. Takano and H. Suzuki

文献摘要

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利用精确对角化、DMRG和映射到低能有效模型的方法研究了两类自旋为1和1/2的扭曲混合金刚石链的基态。在未扭曲的情况下,基态由由单线态二聚体分隔的独立自旋-1簇组成。晶格畸变引起团簇自旋之间的有效相互作用。当这种有效相互作用是反铁磁的,几个霍尔丹相出现或没有自发平移对称击穿(STSB)。没有STSB的Haldane相位与(n+1)倍STSB (n= 1,2,3)的Haldane相位之间的过渡与(n+1)时钟模型属于同一普适类。相反,当有效相互作用为铁磁性时,无论是否存在STSB,量子化相和部分铁磁性相都会出现。提出了部分铁磁相的一种有效的低能理论。
The ground states of two types of distorted mixed diamond chains with spins 1 and 1/2 are investigated using exact diagonalization, DMRG, and mapping onto low-energy effective models. In the undistorted case, the ground state consists of an array of independent spin-1 clusters separated by singlet dimers. The lattice distortion induces an effective interaction between cluster spins. When this effective interaction is antiferromagnetic, several Haldane phases appear with or without spontaneous translational symmetry breakdown (STSB). The transition between the Haldane phase without STSB and that with (n+1)-fold STSB (n=1, 2, and 3) belongs to the same universality class as the (n+1)-clock model. In contrast, when the effective interaction is ferromagnetic, the quantized and partial ferrimagnetic phases appear with or without STSB. An effective low-energy theory for the partial ferrimagnetic phase is presented.