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We consider the problem of disorder chaos in the spherical mean-field model. It is concerned about the behavior of the overlap between two independently sampled spin configurations from two Gibbs measures with the same external parameters.…

Probability · Mathematics 2015-06-23 Wei-Kuo Chen , Hsi-Wei Hsieh , Chii-Ruey Hwang , Yuan-Chung Sheu

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

The Hubbard model is studied in which disorder is introduced by putting the on-site interaction to zero on a fraction f of (impurity) sites of a square lattice. Using Quantum Monte Carlo methods and Dynamical Mean Field theory we find that…

Strongly Correlated Electrons · Physics 2015-06-25 P. J. H. Denteneer , M. Ulmke , R. T. Scalettar , G. T. Zimanyi

We study the two-dimensional disordered topological superconductor with Hubbard interactions. When the magnitude of the pairing potential is tuned to special values, this interacting model is exactly solvable even when disorders are imposed…

Disordered Systems and Neural Networks · Physics 2024-11-22 Yiting Deng , Yan He

We study both theoretically and experimentally the effects of introducing deliberate disorder in a slow-light photonic crystal waveguide on the photon density of states. We first introduce a theoretical model that includes both deliberate…

Optics · Physics 2015-09-02 Nishan Mann , Alisa Javadi , P. D. García , Peter Lodahl , Stephen Hughes

The half-filled attractive Hubbard model exhibits simultaneous charge density wave and superconducting order in its ground state. In this paper we explore the effect of disorder in the site energies on this degeneracy. We find that…

Condensed Matter · Physics 2009-10-28 C. Huscroft , R. T. Scalettar

While the disorder-induced quantum Hall (QH) effect has been studied previously, the effect ofdisorder potential on microscopic features of the integer QH effect remains unclear, particularly forthe incompressible (IC) strip. In this…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yihao Wang , Katsushi Hashimoto , Toru Tomimatsu , Yoshiro Hirayama

The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Chanchal K. Barman , Arghya Chattopadhyay , Surajit Sarkar , Jian-Xin Zhu , Snehasish Nandy

The low-energy excitations in many condensed matter and metamaterial systems can be well described by the Dirac equation. The mass term associated with these collective excitations, also known as the Dirac mass, can take any value and is…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Gengming Liu , Jiho Noh , Jianing Zhao , Gaurav Bahl

A systematic investigation of the effects of disorder on the BCS-BEC crossover at the lowest order in the impurity potential is presented for the normal phase above the critical temperature Tc. Starting with the t-matrix approach for the…

Quantum Gases · Physics 2013-11-13 F. Palestini , G. C. Strinati

Quantum transport in three-dimensional massless Dirac electron system with long-range Gaussian impurities is studied theoretically using a self-consistent Born approximation (SCBA). We find that the conductivity significantly changes the…

Disordered Systems and Neural Networks · Physics 2014-02-25 Yuya Ominato , Mikito Koshino

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

Strongly Correlated Electrons · Physics 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

We illustrate the possibility of realizing band gaps in graphene-like systems that fall outside the existing classification of gapped Dirac Hamiltonians in terms of masses. As our primary example we consider a band gap arising due to…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Thomas Iadecola , Titus Neupert , Claudio Chamon

Our previous understanding of transport in disordered system depends on the assumption that there is a well-defined Fermi velocity. The Fermi velocity determines important length scales in the system such as the diffusion length and…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Chun Wang Chau , Tian Xiang , Shuai A. Chen , K. T. Law

We analyze the interplay of disorder and long-range hopping in a paradigmatic one dimensional model of quantum transport. While typically the current is expected to decrease as the disorder strength increases due to localization effects, in…

Quantum Physics · Physics 2026-01-13 Elisa Zanardini , Giuseppe Luca Celardo , Nahum C. Chávez , Fausto Borgonovi

Nonmagnetic impurity scattering is known to shift up the Ginzburg-Landau parameter $\kappa$ of a superconductor. In this case, when the system is initially in type I, it can change its magnetic response, crossing the intertype domain with…

Superconductivity · Physics 2023-09-22 P. M. Marychev , A. A. Shanenko , A. Vagov

The electronic properties of a bricklayer model, which shares the same topology as the hexagonal lattice of graphene, are investigated numerically. We study the influence of random magnetic-field disorder in addition to a strong…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 L. Schweitzer , P. Markos

The nature of relativistic electrons in solids depends on the precise shape of the underlying band structure. Prominently, symmetry-related mechanisms, such as the breaking of time reversal symmetry in topological insulators, can lead to…

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