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We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the…

Mathematical Physics · Physics 2013-10-03 Niklas Beisert , Lucas Fievet , Marius de Leeuw , Florian Loebbert

The study of pattern-forming instabilities in reaction-diffusion systems on growing or otherwise time-dependent domains arises in a variety of settings, including applications in developmental biology, spatial ecology, and experimental…

Pattern Formation and Solitons · Physics 2022-07-11 Robert A. Van Gorder , Václav Klika , Andrew L. Krause

A while ago, Luck (J. Stat. Phys. 72 (1993) 417) investigated the critical behaviour of one-dimensional Ising quantum chains with couplings constants modulated according to general non-periodic sequences. In this short note, we take a…

Statistical Mechanics · Physics 2015-06-25 Uwe Grimm , Michael Baake

The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagnetic chains whose low-energy effective field theory is…

Statistical Mechanics · Physics 2019-11-06 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

We study the infinite-temperature properties of an infinite sequence of random quantum spin chains using a real-space renormalization group approach, and demonstrate that they exhibit non-ergodic behavior at strong disorder. The analysis is…

Disordered Systems and Neural Networks · Physics 2015-05-28 Romain Vasseur , Andrew C. Potter , S. A. Parameswaran

We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains…

Statistical Mechanics · Physics 2008-03-14 Anjan Kumar Chandra , Subinay Dasgupta

We study Ising chains with arbitrary multispin finite-range couplings, providing an explicit solution of the associated inverse Ising problem, i.e. the problem of inferring the values of the coupling constants from the correlation…

Statistical Mechanics · Physics 2011-11-16 Giacomo Gori , Andrea Trombettoni

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

Statistical Mechanics · Physics 2020-01-01 Hui Jiang , Xiang-Mu Kong

An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

Statistical Mechanics · Physics 2016-09-21 Ran Huang

We investigate entanglement of spin pairs in alternating open spin chains in the equilibrium state in an external magnetic field. We calculate the reduced density matrix of spin pairs and estimate the concurrence with Wootter's criteria.…

Quantum Physics · Physics 2009-11-13 S. I. Doronin , E. B. Fel'dman , A. N. Pyrkov

For the three-dimensional random Ising model, the effective sextic coupling constant v_6 and the nonlinear susceptibilities of the fourth (chi_4) and sixth (chi_6) orders are calculated at criticality. These quantities are shown to differ…

Statistical Mechanics · Physics 2009-11-07 D. V. Pakhnin , A. I. Sokolov , B. N. Shalaev

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

We explore the effect of a (non) magnetic impurity on the thermal transport of the spin-1/2 Heisenberg chain model. This unique system allows to probe Kondo-type phenomena in a prototype strongly correlated system. Using numerical…

Strongly Correlated Electrons · Physics 2010-06-08 A. Metavitsiadis , X. Zotos , O. S. Barišić , P. Prelovšek

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

Strongly Correlated Electrons · Physics 2007-05-23 Fabian Heidrich-Meisner

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We discuss its analyticity properties, certain closed form expressions for subsets of the coefficients, and give an…

Statistical Mechanics · Physics 2015-06-24 W. P. Orrick , B. Nickel , A. J. Guttmann , J. H. H. Perk

We analyze the spin transport through a finite-size one-dimensional interacting wire connected to noninteracting leads. By combining renormalization-group arguments with other analytic considerations such as the memory function technique…

Quantum Gases · Physics 2020-04-28 A. -M. Visuri , M. Lebrat , S. Häusler , L. Corman , T. Giamarchi

To investigate novel aspects of pattern formation in spin systems, we use a mapping between reactive concentrations in a reaction-diffusion system and spin orientations in a dynamic multiple-spin Ising model. While pattern formation in…

Adaptation and Self-Organizing Systems · Physics 2019-10-15 Mélody Merle , Laura Messio , Julien Mozziconacci