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。
英文摘要：
In a recent numerical investigation of the Coulomb glass, Surer et al. [Phys. Rev. Lett. 102, 067205 (2009)] concluded that their simulation results are consistent with the Efros Shklovskii prediction for the density of states in the three-dimensional case. Here, we show that this statement has no relevance concerning the problem of the asymptotic behavior in the Coulomb gap since it is based on unjustified assumptions. Moreover, for the random-displacement Coulomb glass model, we demonstrate that a part of the density of states data by Surer et al. erroneously exhibit a broad gap. This is related to the staggered occupation being instable contrary to their findings.
In a section of a recent publication, [J. Yeo and M.A. Moore, Phys. Rev. B 91, 104432 (2015)], the authors discuss some of the arguments in the paper by Parisi and Temesvári [Nuclear Physics B 858, 293 (2012)]. In this comment, it is shown how these arguments are misinterpreted, and the existence of the Almeida-Thouless transition in the upper critical dimension 6 reasserted.
We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of the Edwards Anderson model, though with large uncertainties. In three dimensions, evidence for a finite-temperature transition, as occurs in the Edwards-Anderson model, is rather weak. This may indicate that the sizes are too small to probe the asymptotic critical behavior, or possibly that the universality class is different from that of the Edwards-Anderson…
A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields $B \ll H_{c2}$ at low temperatures is proposed. Strong collective pinning of a vortex system realized in disordered superconductors that are close to the quantum phase transition to the insulating phase -- such as $\mathrm{In O}_x$, $\mathrm{Nb N}$, $\mathrm{Ti N}$, $\mathrm{Mo Ge}$, nano-granular aluminium, and others -- is considered theoretically for the first time. Utilizing the replica trick developed for the spin glass theory, we demonstrate that such vortex system is in non-ergodic state o…
In the paper [Angelini M C, Parisi G, and Ricci-Tersenghi F, Ensemble renormalization group for disordered systems, Phys. Rev. B 87 134201 (2013)] we introduced a real-space renormalization group called Ensemble Renormalization Group (ERG) and we applied it to the Edwards-Anderson model, obtaining estimates for the critical exponents in good agreement with those from Monte Carlo simulations. Recently the paper [Castellana M, Real-space renormalization-group methods for hierarchical spin glasses, J. Phys. A: Math. Theor. 52 445002 (2019)] re-examined the ERG method from a different perspective,…
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.
We investigate the structure of metastable states in self-generated Coulomb glasses. In dramatic contrast to disordered electron glasses, we find that these states lack marginal stability. Such absence of marginal stability is reflected by the suppression of the single-particle density of states into an exponentially soft gap of the form $g(ε) \sim e^{-V / ξ|ε|}$. To analytically explain this behavior, we extend the stability criterion of Efros and Shklovskii to incorporate local charge correlations, in qualitative agreement with our numerical findings. Our work suggests the existence of a new…
We employ Monte Carlo simulations to study the relaxation properties of the two-dimensional Coulomb glass in disordered semiconductors and the three-dimensional Bose glass in type-II superconductors in the presence of extended linear defects. We investigate the effects of adding non-zero random on-site energies from different distributions on the properties of the correlation-induced Coulomb gap in the density of states (DOS) and on the non-equilibrium aging kinetics highlighted by the density autocorrelation functions. We also probe the sensitivity of the system's equilibrium and non-equilibr…
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。
In his Comment, Temesvári objects to a remark in our paper [Phys.\ Rev.\ B {\bf 91}, 104432 (2015)] that his result for the form of the Almeida-Thouless (AT) line obtained in an earlier paper with Parisi [Nucl.\ Phys.\ B {\bf 858}, 293 (2012)] in six dimensions can be obtained by taking the limit of $d \to 6$ in the equations valid for $d>6$, but that this violated one of the inequalities needed for their validity. He is just pointing out that they gave a derivation of the form of the AT line in six dimensions in [Nucl.\ Phys.\ B {\bf 858}, 293 (2012)] which avoided this difficulty. However, i…
We have annealed two dimensional lattice model of Coulomb glass using Monte Carlo simulations to obtain the ground state. We have shown that the energy required to create a domain of linear size L in d dimensions is proportional to $L^{d-1}$. Using Imry-Ma arguments given for RFIM, one gets $d_{c}\geq 2$ for Coulomb glass. The investigations in the transition region shows that the domain wall of the metastable state in the charge-ordered phase shifts as disorder is increased to give disordered ground state at higher disorder strength indicating phase coexistence. This coupled with discontinuit…
Comment on "Quantum and Classical Glass Transitions in LiHo$_{x}$Y$_{1-x}$F$_4$" by C. Ancona-Torres, D.M. Silevitch, G. Aeppli, and T. F. Rosenbaum, Phys. Rev. Lett. 101, 057201 (2008)
我们在这篇评论中表明，Ancona-Torres等人关于LiHo $_x$ Y $_{1-x}$ F $_4$系统中的平衡量子相变或经典相变的主张没有得到严格标度分析的支持。
Comment on "Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model"
最近的一篇有趣的论文[Yucesoy等人，Phys. Rev. Lett. 109，177204（2012），arXiv：1206：0783]将3D Edwards-Anderson（EA）模型的低温相与其平均场对应物Sherrington-Kirkpatrick（SK）模型进行了比较。研究了重叠分布P_J（q），得出了两种模型表现不同的结论.在这里，我们注意到，使用最先进的EA模型（用Janus计算机生成）的更大数据集进行的类似分析导致对Yucesoy等人的结果的非常清晰的解释，表明EA模型的行为与复本对称性破缺（RSB）理论所预测的一样。
In this Comment, we argue that the behavior of the overlap functions reported in the commented paper can be fully understood in terms of the physics of simple liquids in contact with disordered substrates, without appealing to any particular glassy phenomenology. This suggestion is further supported by an analytic study of the one-dimensional Ising model provided as Supplementary Material.
We have studied the ground states of two dimensional lattice model of Coulomb Glass via Monte Carlo annealing. Our results show a possibility of existence of a critical disorder (Wc) below which the system is in the charge ordered phase and above it the system is in the disordered phase. We have used finite size scaling to calculate Wc = 0.2413, the critical exponent of magnetization β = 0 indicating discontinuity in magnetization and the critical exponent of correlation length ν = 1.0. The distribution of staggered magnetization for different disorder strengths shows a three peak structure. W…
We explore the stability of far-from-equilibrium metastable states of a three-dimensional Coulomb glass at zero temperature by studying charge avalanches triggered by a slowly varying external electric field. Surprisingly, we identify a sharply defined dynamical ("depinning") phase transition from stationary to nonstationary charge displacement at a critical value of the external electric field. Using particle-conserving dynamics, scale-free system-spanning avalanches are observed only at the critical field. We show that the qualitative features of this depinning transition are completely diff…
Comment on `Replica analysis of the p-spin interaction Ising spin-glass model'
我们证明了de Oliveira和Fontanari[1]在一篇论文中对1 RSB断点参数的解析计算是错误的，这是由于在冗长的微扰计算中遗漏了一个高阶项，并提供了相应数值结果的改进。[1]V. M. de Oliveira和J.F. Fontanari，J. Phys. A 32，2285（1998）
Reply to Comment on "Two time scales and violation of the Fluctuation-Dissipation Theorem in a finite dimensional model for structural glasses"
在对我们最近的论文"Two time scales and violation of FDT in a finite dimensional model for structural glasses"[1]的评论（cond-mat/0103444）中，A. de Candia和A. Coniglio等证明了阻挫Ising格子气（FILG）的平衡重叠分布P（q）与文献[1]中提出的非平衡结果不一致。在这个答复中，我们展示了澄清争议的FILG的玻璃相的新结果。然而，均衡P（q）的结构仍然是一个悬而未决的问题。[1]F. Ricci-Tersenghi，D. a. Stariolo和J.J.Arenzon，Phys.Rev.Lett. 84，4473（2000）。
Reply to Comment on "Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model"
In Phys. Rev. Lett. 110，219701（2013）[arXiv：1211.0843] Billoire等人批评我们的信的结论[Phys. Rev. Lett. 109，177204（2012），arxiv：1206.0783]。他们认为在相同的温度下考虑爱德华-安德森和谢林顿-柯克帕特里克模型是不合适的，并提出了一种基于复本对称性破缺理论的解释。在这里，我们表明，在评论中提出的理论不能解释我们的数据上的爱德华-安德森自旋玻璃，我们坚持我们的断言，爱德华-安德森自旋玻璃模型的低温行为似乎不是平均场。
