The Ising chain in a skew magnetic field
The Ising chain in a skew magnetic field
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斜磁场中的伊辛链
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
H. Fogedby
中科院分区：
文献类型：
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作者：
H. Fogedby
本文给出了具有交换常数J的一维Ising模型在斜交均匀磁场（Hx，Hz）中的零温动力学性质的解析表达式，其中忽略了（Hx/J）2和（Hz/J）2阶修正.激发光谱的最低多重态以及与横向频率和波数相关的磁化率用贝塞尔函数表示。在小纵场下，激发谱具有多支结构，当纵场消失时，激发谱合并成一条谱带。半无限离散谱和带之间的过渡的奇异性引起幂律行为。能级取决于Hx的1/3次方和Hz的2/3次方。揭示上述效果的系统的实验搜索建议。
The zero-temperature dynamical properties of the one-dimensional Ising model with exchange constant J in a skew uniform magnetic field (Hx,Hz) are given by analytic expressions neglecting corrections of order (Hx/J)2 and (Hz/J)2. The lowest multiplet of the excitation spectrum and the transverse frequency and wavenumber dependent susceptibility are expressed in terms of Bessel functions. In a small longitudinal field the excitation spectrum has a multibranch structure which for vanishing longitudinal field merges into a band. The singular character of the transition between the semi-infinite discrete spectrum and the band gives rise to a power-law behaviour. The energy levels depend on Hx to the power 1/3 and on Hz to the power 2/3. An experimental search for systems revealing the above effects is suggested.