In this paper, we analyze the dynamics of the Coulomb Glass lattice model in three dimensions near a local equilibrium state by using mean-field approximations. We specifically focus on understanding the role of localization length ($ξ$) and the temperature ($T$) in the regime where the system is not far from equilibrium. We use the eigenvalue distribution of the dynamical matrix to characterize relaxation laws as a function of localization length at low temperatures. The variation of the minimum eigenvalue of the dynamical matrix with temperature and localization length is discussed numerically and analytically. Our results demonstrate the dominant role played by the localization length on the relaxation laws. For very small localization lengths we find a crossover from exponential relaxation at long times to a logarithmic decay at intermediate times. No logarithmic decay at the intermediate times is observed for large localization lengths.
The existence of an equilibrium glassy phase for charges in a disordered potential with long-range electrostatic interactions has remained controversial for many years. Here we conduct an extensive numerical study of the disorder-temperature phase diagram of the three-dimensional Coulomb glass model using population annealing Monte Carlo to thermalize the system down to extremely low temperatures. Our results strongly suggest that, in addition to a charge order phase, a transition to a glassy phase can be observed, consistent with previous analytical and experimental studies.
Reply to Comment "Density of states and critical behavior of the three-dimensional Coulomb Glass"
我们回答莫比乌斯和里希特的评论[arXiv：0908.3092，物理。105，039701（2010）]关于“Density of States and Critical Behavior of the Coulomb Glass”[arXiv：0805.4640，Phys.Rev.Lett. 102，067205（2009）]，并解决我们的结果对状态密度提出的问题。此外，我们纠正我们的声明的随机位移版本的库仑玻璃模型的维格纳晶体是不稳定的无序。尽管如此，我们的主要结果，缺乏一个有限的温度转变的库仑玻璃仍然没有受到挑战。
We derive an equation for the glass relaxation. In the derivation, the Zwanzig-Mori projection method is not applied explicitly, which makes our equation different from the mode coupling theory. Due to the nonlinearity, it is difficult to solve the equation to get the full behaviors of the glass relaxation. But we can simplify the equation when time approaches infinity and obtain the static result analytically. The static result shows that the density correlation function decays to zero finally, meaning that the glass relaxation is ergodic. In this study, we also find that the force fluctuatio…
Relationship between heat effects and shear modulus relaxation during structural relaxation of a telluride glass
State Pedagogical University（州立师范大学）；Korzhinskii Institute of Experimental Mineralogy RAS（俄罗斯科学院科尔任斯基实验矿物学研究所）；Dubna State University（杜布纳国立大学）；Moscow State University of Technology "STANKIN"（莫斯科国立技术大学斯坦金）；National University of Science and Technology MISiS（国家科学与技术大学MISiS）；Lomonosov Moscow State University（罗蒙诺索夫莫斯科大学）；Institute of Solid State Physics RAS（俄罗斯科学院固体物理研究所）
Metallic glasses exhibit fast mechanical relaxations at temperatures well below the glass transition, one of which shows little variation with temperature known as nearly constant loss (NCL). Despite the important implications of this phenomenon to in aging and deformation, the origin of the relaxation is unclear. Through molecular dynamics simulations of a model metallic glass, Cu_64.5Zr_35.5, we implement dynamic mechanical analysis with system stress decomposed into atomic-level stresses to identify the group of atoms responsible for NCL. This work demonstrates that NCL relaxation is due to…
We present numerical evidence using Monte Carlo simulations of finite-temperature phase transition in two dimensional Coulomb Glass lattice model with random site energies at half-filling. For the disorder strengths ($W$) studied in this paper, we find the existence of charge-ordered phase (COP) below the critical temperature ($T_{c}(W)$). Also, the probability distribution of staggered magnetization calculated at each W shows a two-peak structure at their respective critical temperature. Thus the phase transition from fluid to COP as a function of temperature is second order for all $W$. We f…
In this paper, we have studied the three dimensional Coulomb glass lattice model at half-filling using Monte Carlo Simulations. Annealing of the system shows a second-order transition from paramagnetic to charge-ordered phase for zero as well as small disorders. We have also calculated the critical exponents and transition temperature using a finite sizing scaling approach. The Monte Carlo simulation is done using the Metropolis algorithm, which allowed us to study larger lattice sizes. The transition temperature and the critical exponents at zero disorder matched the previous studies within n…
Comment on "Density of States and Critical Behavior of the Coulomb Glass"
在最近对库仑玻璃的数值研究中，Surer等人[Phys. Rev. Lett. 102，067205（2009）]得出结论，他们的模拟结果与Efros Shklovskii对三维情况下态密度的预测一致。在这里，我们表明，这种说法没有相关的问题的渐近行为的库仑间隙，因为它是基于不合理的假设。此外，对于随机位移库仑玻璃模型，我们证明了一部分的状态密度数据由Sureer等人。错误地表现出一个广泛的差距。这与交错占领不稳定有关，与他们的调查结果相反。
