Monte Carlo simulations of the three-dimensionsl XY spin glass focusing on chiral and spin order
Monte Carlo simulations of the three-dimensionsl XY spin glass focusing on chiral and spin order
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三维 XY 自旋玻璃的蒙特卡罗模拟，重点关注手性和自旋顺序
DOI：
10.1103/physrevb.87.174438
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发表时间：
2013
影响因子：
3.7
通讯作者：
Tomoyuki Obuchi. Hikaru Kawamura
中科院分区：
文献类型：
--
作者：
田原弘量;金光義彦;Tomoyuki Obuchi. Hikaru Kawamura
用蒙特卡罗方法研究了具有最近邻无规高斯耦合的三维各向同性自旋玻璃的有序性。为了研究自旋和手征的有序性，我们计算了几个独立的物理量，包括玻璃序参量、Binder参量、相关长度比、重叠分布和非自平均参量等，对于自旋玻璃（SG）和手征玻璃（CG）自由度两者。自旋-手性解耦的证据，即，CG和SG顺序发生在两个不同的温度，，是从玻璃序参数，并完全证实了粘结剂参数。相比之下，CG相关长度比在我们研究的尺寸范围内产生了相当病态和不一致的结果，这可能源于与空间CG相关性的显著短长度下降相关的有限尺寸效应。粒度尺度分析得出CG指数和SG指数和。得到的指数接近海森堡SG的指数，但与伊辛SG的指数有很大不同。手性重叠分布和手性Binder参数表现出连续一步复制对称性破缺（1 RSB）的特征，与以前的报道一致。这样的1 RSB特征又类似于海森堡SG，但不同于伊辛SG，这可能是CG临界性质与伊辛SG的差异的原因，尽管共同对称。
The ordering of the three-dimensional isotropicspin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. To investigate the ordering of the spin and the chirality, we compute several independent physical quantities including the glass order parameter, the Binder parameter, the correlation-length ratio, the overlap distribution, and the non-self-averageness parameter, etc., for both the spin-glass (SG) and the chiral-glass (CG) degrees of freedom. Evidence of spin-chirality decoupling, i.e., that the CG and SG order occur at two separate temperatures,, is obtained from the glass order parameter, and is fully corroborated by the Binder parameter. By contrast, the CG correlation-length ratio yields a rather pathological and inconsistent result in the range of sizes we studied, which may originate from the finite-size effect associated with a significant short-length dropoff of the spatial CG correlations. Finite-size-scaling analysis yields the CG exponentsand, and the SG exponentsand. The exponents obtained are close to those of the Heisenberg SG, but are very different from those of the Ising SG. The chiral overlap distribution and the chiral Binder parameter exhibit the feature of a continuous one-step replica-symmetry breaking (1RSB), consistently with previous reports. Such a 1RSB feature is again like that of the Heisenberg SG, but is different from the Ising SG, which may be the cause of the difference in the CG critical properties from those of the Ising SG despite the commonsymmetry.