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2022-03-07
摘要翻译:
用重整化群论研究了自旋1/2量子海森堡模型。在d\Geq3维上得到了温度和反铁磁键几率p的强不对称相图。在接近纯铁磁和反铁磁体系的高温下,不对称性随着d的增加而消失。然而,在有限温度下,非对称性在所有维度上都保持不变,反铁磁相退到铁磁相。在d\Geq6中,铁磁相和反铁磁相之间直接出现了一个有限温度的二级相边界,在其与顺磁相边界的相交处产生了一个新的多晶点。当d=3,4,5时,一个达到零温度的顺磁相不对称地介入铁磁相和重入反铁磁相之间。在任何维度上都不存在自旋玻璃相。
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英文标题:
《Quantum-Mechanically Induced Asymmetry in the Phase Diagrams of
  Spin-Glass Systems》
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作者:
C. Nadir Kaplan and A. Nihat Berker
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最新提交年份:
2008
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分类信息:

一级分类:Physics        物理学
二级分类:Disordered Systems and Neural Networks        无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3. The asymmetry at high temperatures approaching the pure ferromagnetic and antiferromagnetic systems disappears as d is increased. However, the asymmetry at low but finite temperatures remains in all dimensions, with the antiferromagnetic phase receding to the ferromagnetic phase. A finite-temperature second-order phase boundary directly between the ferromagnetic and antiferromagnetic phases occurs in d \geq 6, resulting in a new multicritical point at its meeting with the boundaries to the paramagnetic phase. In d=3,4,5, a paramagnetic phase reaching zero temperature intervenes asymmetrically between the ferromagnetic and reentrant antiferromagnetic phases. There is no spin-glass phase in any dimension.
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PDF链接:
https://arxiv.org/pdf/709.3589
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