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物理学报. 1993, 42(6): 992-998.
doi: 10.7498/aps.42.992.
三维量子自旋玻璃理论(Ⅱ)——稳定性分析
- 收稿日期: 1992-02-02
- 修回日期: 1992-04-21
- 刊出日期: 1993-03-05
摘要: 利用我们提出的三维量子自旋玻璃理论,通过引入一个量子的Goldbart去耦方案,将三维量子自旋玻璃的稳定性Hessian矩阵的本征值问题转化为类伊辛自旋玻璃的相应问题,并求出了所有的本征值。通过分析最小本征值,获得了Almeida-Thouless(AT)下临界线和Gabay-Toulouse(GT)上临界线所满足的方程。最后,数值研究了不同自旋的AT不稳定性并讨论了我们的理论与热场动力学方法、集团展开方法的联系。
English Abstract
THREE-DIMENSIONAL QUANTUM SPIN GLASS THEORY (Ⅱ)——STABILITY ANALYSIS
- Received Date:
02 February 1992
- Accepted Date:
21 April 1992
- Published Online:
05 March 1993
Abstract: Based on our previous work, introducing an extended Goldbart ansatz, all eigenvalues of the Hessian matrix in our three-dimensional spin glass model are obtained. It is found that the vanishing smallest eigenvalue λ3 has two solutions, which correspond to the Gabay-Toulouse (GT) upper and Almeida-Thouless (AT) lower critical lines respectively. Finally, the relation between our theory and other method is discussed.
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