A Soluble Quasi-Crystalline Magnetic Model: The XY Quantum Spin Chain

A Soluble Quasi-Crystalline Magnetic Model: The XY Quantum Spin Chain
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可溶准晶磁模型：XY 量子自旋链

DOI：
10.1209/0295-5075/2/4/001
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
T. Nieuwenhuizen
T. Nieuwenhuizen
中科院分区：
--
文献类型：
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作者：
J. Luck;T. Nieuwenhuizen

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考虑具有准周期二值交换耦合和均匀横向场的量子XY自旋链。系统与自由费米子模型的等价性允许对其热力学进行详细的分析。零温度磁化强度是外加磁场的康托函数。零场比热和磁化率在低温下具有幂律特性，由周期振幅调制。临界指数连续地插在周期模型和随机模型的临界指数之间。
We consider the quantum XY spin chain with quasi-periodic two-valued exchange couplings and a uniform transverse field. The equivalence of the system with a free fermionic model permits a detailed analysis of its thermodynamics. The zero-temperature magnetization is a Cantor function of the applied field. The zero-field specific heat and susceptibility have a power-law behaviour at low temperature, modulated by periodic amplitudes. The critical exponents interpolate continuously between those of the periodic and of the random model.