可调阻挫磁体的平衡结构和非平衡动力学
Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
摘要：
我们数值研究了二维随机键伊辛模型，其中阻挫可以通过改变反铁磁耦合常数的分数$a$来调节。在低温下，该模型表现出足够小的$a$，$a<a_f$值的铁磁顺序相。在中间范围$a_f<a<a_a$的系统是顺磁性的，与自旋玻璃秩序预计在零温度。对于更大的值$a>a_a$，存在反铁磁相。在从高温深度淬火之后，对于任何值的$a$观察到缓慢的演变。我们表明，不同数量的挫折，调整$a$，影响的动力学性质在一个高度非平凡的方式。特别是，在具有铁磁或反铁磁序的相中，动力学是代数缓慢的，而当自旋玻璃序占主导地位时，演化更快，即代数。根据相空间的不同性质给出了解释。
英文摘要：
We study numerically a two-dimensional random-bond Ising model where frustration can be tuned by varying the fraction $a$ of antiferromagnetic coupling constants. At low temperatures the model exhibits a phase with ferromagnetic order for sufficiently small values of $a$, $a<a_f$. In an intermediate range $a_f<a<a_a$ the system is paramagnetic, with spin glass order expected right at zero temperature. For even larger values $a>a_a$ an antiferromagnetic phase exists. After a deep quench from high temperatures, slow evolution is observed for any value of $a$. We show that different amounts of frustration, tuned by $a$, affect the dynamical properties in a highly non trivial way. In particular, the kinetics is logarithmically slow in phases with ferromagnetic or antiferromagnetic order, whereas evolution is faster, i.e. algebraic, when spin glass order is prevailing. An interpretation is given in terms of the different nature of phase space.
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