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Quenched randomness can lead to robust non-equilibrium phases of matter in periodically driven (Floquet) systems. Analyzing transitions between such dynamical phases requires a method capable of treating the twin complexities of disorder…

Disordered Systems and Neural Networks · Physics 2018-11-12 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

We analyze exact ground-state energies of two-dimensional Ising spin glasses with either Gaussian or bimodal nearest-neighbor interactions for large system sizes and for three types of boundary conditions: free on both axes, periodic on…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. A. Campbell , A. K. Hartmann , Helmut G. Katzgraber

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

Condensed Matter · Physics 2009-10-22 A. Crisanti , H. Rieger

We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in…

Statistical Mechanics · Physics 2025-05-22 Vanja Marić , Florent Ferro , Maurizio Fagotti

We consider the effect of quenched spatial disorder on systems of interacting, pinned non-Abelian anyons as might arise in disordered Hall samples at filling fractions \nu=5/2 or \nu=12/5. In one spatial dimension, such disordered anyon…

Strongly Correlated Electrons · Physics 2012-06-06 C. R. Laumann , D. A. Huse , A. W. W. Ludwig , G. Refael , S. Trebst , M. Troyer

The ground state properties of an Ising chain with nearest ($J_{1}$) and next-nearest neighbor ($J_{2}$) interactions in a transverse field are investigated using the density matrix renormalization group and cluster mean-field theory…

Statistical Mechanics · Physics 2014-11-24 Somenath Jalal , Brijesh Kumar

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We extend a recent argument by Ding and Zhuang from nearest-neighbor to long-range interactions and prove the phase transition in a class of ferromagnetic random field Ising models. Our proof combines a generalization of Fr\"ohlich-Spencer…

Mathematical Physics · Physics 2025-08-22 Lucas Affonso , Rodrigo Bissacot , João Maia

The persistent current is here studied in one-dimensional disordered rings that contain interacting electrons. We used the density matrix renormalization group algorithms in order to compute the stiffness, a measure that gives the magnitude…

Strongly Correlated Electrons · Physics 2009-11-11 E. Gambetti

We consider the quantum Ising chain with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ and uniformly distributed random transverse fields ($\Gamma_0 \le \Gamma_i \le 2\Gamma_0$) in the presence of a…

Disordered Systems and Neural Networks · Physics 2020-02-05 Péter Lajkó , Jean-Christian Anglès d'Auriac , Heiko Rieger , Ferenc Iglói

We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged…

Mathematical Physics · Physics 2007-05-23 H. Spohn , E. Zhizhina

Using the density-matrix renormalization-group method we study the two-dimensional Ising model in strip geometry. This renormalization scheme enables us to consider the system up to the size 300 x infinity and study the influence of the…

Statistical Mechanics · Physics 2009-10-31 Andrzej Drzewinski

A scaling description is obtained for the $d$--dimensional random field Ising model from domains in a bar geometry. Wall roughening removes the marginality of the $d=2$ case, giving the $T=0$ correlation length $\xi \sim \exp\left(A…

Condensed Matter · Physics 2009-10-28 E. D. Moore , R. B. Stinchcombe , S. L. A. de Queiroz

The effect of randomness on critical behavior is a crucial subject in condensed matter physics due to the the presence of impurity in any real material. We presently probe the critical behaviour of the antiferromagnetic (AF) Ising model on…

Disordered Systems and Neural Networks · Physics 2018-05-23 Tasrief Surungan , Bansawang BJ , Muhammad Yusuf

We propose a simple modification of the density matrix renormalization group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach…

Strongly Correlated Electrons · Physics 2018-11-14 J. C. Xavier , J. A. Hoyos , E. Miranda

The Ising spin glass in two dimensions exhibits rich behavior with subtle differences in the scaling for different coupling distributions. We use recently developed mappings to graph-theoretic problems together with highly efficient…

Disordered Systems and Neural Networks · Physics 2018-03-02 Hamid Khoshbakht , Martin Weigel

We study the problem of predictability, or "nature vs. nurture", in several disordered Ising spin systems evolving at zero temperature from a random initial state: how much does the final state depend on the information contained in the…

Statistical Mechanics · Physics 2017-04-18 J. Ye , R. Gheissari , J. Machta , C. M. Newman , D. L. Stein

We develop a theory of the domain patterns in systems with competing short-range attractive interactions and long range repulsive Coulomb interactions. We take an energetic approach, in which patterns are considered as critical points of a…

Soft Condensed Matter · Physics 2009-11-07 C. B. Muratov

We introduce an approximate mapping between the random fuse network (RFN) and a random field dipolar Ising model (RFDIM). The state of the network damage is associated with a metastable spin configuration. A mean-field treatment, numerical…

Statistical Mechanics · Physics 2009-11-07 Marc Barthelemy , Rava da Silveira , Henri Orland

We study the Kitaev spin ladder with random couplings by using the real-space renormalization group technique. This model is the minimum model in Kitaev systems that has conserved plaquette fluxes, and its quasi-one-dimensional geometry…

Strongly Correlated Electrons · Physics 2022-09-21 Wen-Han Kao , Natalia B. Perkins
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