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Understanding the physics of the integrable spin-1/2 XXZ chain has witnessed substantial progress, due to the development and application of sophisticated analytical and numerical techniques. In particular, infinite-temperature…

Statistical Mechanics · Physics 2025-08-08 Markus Kraft , Mariel Kempa , Jiaozi Wang , Sourav Nandy , Robin Steinigeweg

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

The one-dimensional isotropic quantum Heisenberg spin systems with random couplings and random spin sizes are investigated using a real-space renormalization group scheme. It is demonstrated that these systems belong to a universality class…

Statistical Mechanics · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann

The influence of bond randomness on long range magnetic ordering in the weakly coupled S = 1/2 antiferromagnetic spin chain materials Cu(py)2(Cl1-xBrx)2 is studied by muon spin rotation and bulk measurements. Disorder is found to have a…

Strongly Correlated Electrons · Physics 2012-12-04 M. Thede , F. Xiao , Ch. Baines , C. Landee , E. Morenzoni , A. Zheludev

Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < \Delta \le 1 is analytically obtained using the Abelian…

Strongly Correlated Electrons · Physics 2007-05-23 A. Furusaki , T. Hikihara

For a class of typical states, the real-time and real-space dynamics of non-equilibrium density profiles has been recently studied for integrable models, i.e. the spin-1/2 XXZ chain [PRB 95, 035155 (2017)] and the Fermi-Hubbard chain [PRE…

Strongly Correlated Electrons · Physics 2018-05-31 Jonas Richter , Fengping Jin , Hans De Raedt , Kristel Michielsen , Jochen Gemmer , Robin Steinigeweg

The local distributions of the one-dimensional dilute annealed Ising model with charged impurities are studied. Explicit expressions are obtained for the pair distribution functions and correlation lengths, and their low-temperature…

Statistical Mechanics · Physics 2020-08-26 Yu. D. Panov

The ground state and the thermodynamics of a spin-1/2 asymmetric diamond Ising--Heisenberg chain are considered. For the $XYZ$ anisotropic Heisenberg interaction, the exact calculations of the free energy, entropy, heat capacity,…

Statistical Mechanics · Physics 2011-12-09 Bohdan Lisnii

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

Optimization and Control · Mathematics 2010-09-08 Debasish Chatterjee , Daniel Liberzon

The static and dynamic susceptibilities for a general class of mean field random orthogonal spherical spin glass models are studied. We show how the static and dynamical properties of the linear and nonlinear susceptibilities depend on the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Leticia F. Cugliandolo , David S. Dean , Hajime Yoshino

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

It is widely accepted that the dynamic of entanglement in presence of a generic circuit can be predicted by the knowledge of the statistical properties of the entanglement spectrum. We tested this assumption by applying a Metropolis-like…

Quantum Physics · Physics 2023-09-20 J. Odavić , G. Torre , N. Mijić , D. Davidović , F. Franchini , S. M. Giampaolo

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

We investigate the laws of coarsening of a two-dimensional system of Ising spins evolving under single-spin-flip irreversible dynamics at low temperature from a disordered initial condition. The irreversibility of the dynamics comes from…

Statistical Mechanics · Physics 2015-07-28 C. Godreche , M. Pleimling

The long-time and long-distance asymptotic behavior of the $x$ spin correlations at finite temperature in an anisotropic spin-1/2 XY chain is determined numerically. The decay of the correlations is exponential in both space and time.…

Statistical Mechanics · Physics 2011-09-01 Jörn Krones , Joachim Stolze

Using the bosonization technique, we have studied a spin-1/2 magnetic impurity in Heisenberg chain, and shown that the impurity specific heat and spin susceptibility have an anomalous temperature dependence.

Condensed Matter · Physics 2009-10-30 Yu-Liang Liu

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

The random-field spin-1/2 XXZ chains, and the corresponding Anderson insulators of spinless fermions with density-density interaction, have been intensively studied in the context of many-body localization. However, we recently argued [B.…

Statistical Mechanics · Physics 2023-08-08 B. Krajewski , L. Vidmar , J. Bonca , M. Mierzejewski

The finite temperature transport properties of a spin-1/2 anisotropic Heisenberg chain with an embedded spin-S impurity are studied. Using primarily numerical diagonalization techniques, we study the dependence of the dynamical spin and…

Strongly Correlated Electrons · Physics 2011-02-14 A. Metavitsiadis