横场中高度非对称双子格费米子Ising自旋玻璃模型的一步复本对称性破缺解
One-step replica symmetry breaking solution for a highly asymmetric two-sublattice fermionic Ising spin glass model in a transverse field
摘要：
利用一步复本对称性破缺（RSB）研究了横场$Γ$中的双子格费米子无限程伊辛自旋玻璃（SG）模型.该问题是制定在格拉斯曼路径积分形式主义内的静态近似。在该模型中，平行磁场$H$破坏了亚晶格的对称性。它破坏了反铁磁（AF）秩序，但它可以有利于非遍历混合相（SG+AF）表征的非对称RSB区域。在该区域，亚晶格内的无序相互作用$V$增加了每个亚晶格的RSB解之间的差异。当$V$增加时，冻结温度随$H$增加而增加。从副本对称（RS）解决方案的RSB解决方案的不连续相变可以出现与存在的亚晶格内的铁磁平均耦合。$Γ$场引入了量子自旋翻转机制，该机制抑制了导致它们到达量子临界点的磁序。结果表明，量子效应不能恢复RS溶液。然而，在非对称RSB区域，对于一个特定的子晶格，$Γ$可以在任何有限温度下产生稳定的RS解，而对于只有子晶格内自旋与无序相互作用耦合的特殊情况，另一个子晶格仍然存在RSB解.
英文摘要：
The one-step replica symmetry breaking (RSB) is used to study a two-sublattice fermionic infinite-range Ising spin glass (SG) model in a transverse field $Γ$. The problem is formulated in a Grassmann path integral formalism within the static approximation. In this model, a parallel magnetic field $H$ breaks the symmetry of the sublattices. It destroys the antiferromagnetic (AF) order, but it can favor the nonergodic mixed phase (SG+AF) characterizing an asymmetric RSB region. In this region, intra-sublattice disordered interactions $V$ increase the difference between the RSB solutions of each sublattice. The freezing temperature shows a higher increase with $H$ when $V$ enhances. A discontinue phase transition from the replica symmetry (RS) solution to the RSB solution can appear with the presence of an intra-sublattice ferromagnetic average coupling. The $Γ$ field introduces a quantum spin flip mechanism that suppresses the magnetic orders leading them to quantum critical points. Results suggest that the quantum effects are not able to restore the RS solution. However, in the asymmetric RSB region, $Γ$ can produce a stable RS solution at any finite temperature for a particular sublattice while the other sublattice still presents RSB solution for the special case in which only the intra-sublattice spins couple with disordered interactions.
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