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The phase transition occurring in a square 2-D spin lattice governed by an anisotropic Heisenberg Hamiltonian has been studied according to two recently proposed methods. The first one, the Dressed Cluster Method, provides excellent…

Strongly Correlated Electrons · Physics 2007-05-23 Mohamad Al Hajj , Nathalie Guihery , Jean-Paul Malrieu , Peter Wind

We study the anisotropic quantum Heisenberg antiferromagnet for spin-1/2 that interpolates smoothly between the one-dimensional (1D) and the two-dimensional (2D) limits. Using the spin Hartree-Fock approach we construct a quantitative…

Strongly Correlated Electrons · Physics 2019-11-22 R. Smit , P. Kopietz , O. Tsyplyatyev

We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

We present a study of the one-dimensional S=1 antiferromagnetic spin chain with large easy plane anisotropy, with special emphasis on field-induced quantum phase transitions. Temperature and magnetic field dependence of magnetization,…

Strongly Correlated Electrons · Physics 2014-07-02 C. Psaroudaki , J. Herbrych , J. Karadamoglou , P. Prelovšek , X. Zotos , N. Papanicolaou

We study heat transport in a one-dimensional inhomogeneous quantum spin 1/2 system. It consists of a finite-size XX spin chain coupled at its ends to semi-infinite XX and XY chains at different temperatures, which play the role of heat and…

Strongly Correlated Electrons · Physics 2015-05-13 Liliana Arrachea , Gustavo S. Lozano , A. A. Aligia

The transport properties of the planar rotator model on a square lattice are analyzed by means of microcanonical and non--equilibrium simulations. Well below the Kosterlitz--Thouless--Berezinskii transition temperature, both approaches…

Statistical Mechanics · Physics 2009-11-11 Luca Delfini , Stefano Lepri , Roberto Livi

We study the robustness of non-local string order in two paradigmatic disordered spin-chain models, a spin-1/2 cluster-Ising and a spin-1 XXZ Heisenberg chain. In the clean case, they both display a transition from antiferromagnetic to…

Statistical Mechanics · Physics 2017-12-27 Marcello Calvanese Strinati , Davide Rossini , Rosario Fazio , Angelo Russomanno

We study finite-temperature magnetization transport in a one-dimensional anisotropic Heisenberg model, focusing in particular on the gapped phase. Using numerical simulations by two different methods, a propagation of localized wavepackets…

Strongly Correlated Electrons · Physics 2011-11-30 Simon Jesenko , Marko Znidaric

One dimensional S=1 antiferromagnetic Heisenberg chains with bond alternation and uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite size systems. We calculate the ground state phase diagram using…

Statistical Mechanics · Physics 2009-10-31 Wei Chen , Kazuo Hida , Bryan C. Sanctuary

The one-dimensional XXZ model is studied in the presence of disorder in the Heisenberg Exchange Integral. Recent predictions obtained from renormalization group calculations are investigated numerically using a Lanczos algorithm on chains…

Condensed Matter · Physics 2016-08-31 Stephan Haas , Jose Riera , Elbio Dagotto

This thesis contains two results for the low temperature behavior of quantum spin systems. First, we present a lower bound for the spin-1 XXZ chain in finite volumes in terms of the gap of the two-site Hamiltonian. The estimate is derived…

Mathematical Physics · Physics 2007-05-23 J. Abbott

We consider thermal transport in low-dimensional disordered harmonic networks of coupled masses. Utilizing known results regarding Anderson localization, we derive the actual dependence of the thermal conductance $G$ on the length $L$ of…

Disordered Systems and Neural Networks · Physics 2016-07-05 Isaac Weinberg , Yaron de Leeuw , Tsampikos Kottos , Doron Cohen

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

Luttinger semimetals have quadratic band crossings at the Brillouin zone-center in three spatial dimensions. Coulomb interactions in a model that describes these systems stabilize a non-trivial fixed point associated with a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2022-07-12 Ipsita Mandal , Hermann Freire

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

Statistical Mechanics · Physics 2015-06-04 François Huveneers

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

We present the realization of a spin-1/2 hexagonal-plaquette chain with Ising anisotropy, an unexplored quantum spin model that serves as a platform for investigating anisotropic quantum magnetism. Specific heat at zero field reveals a…

Strongly Correlated Electrons · Physics 2025-09-12 Hironori Yamaguchi , Shunsuke C. Furuya , Yu Tominaga , Koji Araki , Masayuki Hagiwara

We address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time…

Strongly Correlated Electrons · Physics 2020-03-18 Maxime Dupont , Joel E. Moore