SHERRINGTON-KIRKPATRICK MODEL IN A TRANSVERSE FIELD - ABSENCE OF REPLICA SYMMETRY-BREAKING DUE TO QUANTUM FLUCTUATIONS
SHERRINGTON-KIRKPATRICK MODEL IN A TRANSVERSE FIELD - ABSENCE OF REPLICA SYMMETRY-BREAKING DUE TO QUANTUM FLUCTUATIONS
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DOI：
10.1103/physrevb.39.11828
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发表时间：
1989-06-01
影响因子：
3.7
通讯作者：
CHAKRABARTI, A
中科院分区：
文献类型：
--
作者：
RAY, P;CHAKRABARTI, BK;CHAKRABARTI, A
本文利用Suzuki-Trotter公式将横向场作用下的Sherrington-Kirkpatrick模型映射到一个等价的经典模型。利用有效Thouless-Anderson-Palmer自由能研究了系统的稳定性，并对有效经典模型进行了Monte Carlo计算机模拟，得到了相图和磁化重叠分布。我们的结果表明，由于量子涨落的平凡重叠分布。的相图显示了轻微的初始增加的玻璃化转变温度Tg的横向场被打开，确认横田获得。
The Sherrington-Kirkpatrick model under a transverse field is studied here employing the Suzuki-Trotter formula to map the model to an equivalent classical one. The effective Thouless-Anderson-Palmer free energy is used to study the stability of the system, and Monte Carlo computer simulations of the effective classical model are performed to obtain the phase diagram and the magnetization overlap distribution. Our results indicate a trivial overlap distribution due to quantum fluctuations. The phase diagram shows a slight initial increase in the glass transition temperature T g as the transverse field is switched on, confirming that obtained by Yokota.