Sarıyer Ozan S, Kabakçıoğlu Alkan, Berker A Nihat
Department of Physics, Koç University, Sarıyer 34450, Istanbul, Turkey.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041107. doi: 10.1103/PhysRevE.86.041107. Epub 2012 Oct 5.
We investigate the dissipative loss in the ±J Ising spin glass in three dimensions through the scaling of the hysteresis area, for a maximum magnetic field that is equal to the saturation field. We perform a systematic analysis for the whole range of the bond randomness as a function of the sweep rate by means of frustration-preserving hard-spin mean-field theory. Data collapse within the entirety of the spin-glass phase driven adiabatically (i.e., infinitely slow field variation) is found, revealing a power-law scaling of the hysteresis area as a function of the antiferromagnetic bond fraction and the temperature. Two dynamic regimes separated by a threshold frequency ω(c) characterize the dependence on the sweep rate of the oscillating field. For ω<ω(c), the hysteresis area is equal to its value in the adiabatic limit ω=0, while for ω>ω(c) it increases with the frequency through another randomness-dependent power law.
我们通过对滞后面积进行标度，研究了三维空间中±J伊辛自旋玻璃在最大磁场等于饱和场时的耗散损耗。我们借助保持挫折的硬自旋平均场理论，对作为扫描速率函数的整个键无序范围进行了系统分析。发现在绝热驱动（即无限缓慢的场变化）的整个自旋玻璃相内数据塌缩，揭示了滞后面积作为反铁磁键分数和温度函数的幂律标度。由阈值频率ω(c)分隔的两个动态区域表征了振荡场扫描速率的依赖性。对于ω<ω(c)，滞后面积等于其在绝热极限ω=0时的值，而对于ω>ω(c)，它通过另一个依赖于无序的幂律随频率增加。
