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We consider the inhomogeneous generalization of the density matrix of a finite segment of length $m$ of the antiferromagnetic Heisenberg chain. It is a function of the temperature $T$ and the external magnetic field $h$, and further depends…

High Energy Physics - Theory · Physics 2011-02-16 Herman E. Boos , Frank Göhmann , Andreas Klümper , Junji Suzuki

We demonstrate analytically and numerically that the paradigmatic model of quantum magnetism, the Heisenberg XXZ spin chain, does not relax to stationarity and hence constitutes a genuine time crystal that does not rely on external driving…

Statistical Mechanics · Physics 2020-07-29 Marko Medenjak , Berislav Buca , Dieter Jaksch

In spin-lattice models with order parameter conserved, we generalize the idea of spin diffusion incorporating a variety factors as possible driving forces, including the external field and the temperature. The Kawasaki dynamics in the…

Statistical Mechanics · Physics 2007-05-23 Han Zhu , Jian-Yang Zhu

We study ballistic thermal transport in Heisenberg spin chain with nearest-neighbor ferromagnetic interactions at low temperatures. Explicit expressions for transmission coefficients are derived for thermal transport in a periodic spin…

Statistical Mechanics · Physics 2008-10-16 Lifa Zhang , Jian-Sheng Wang , Baowen Li

Spin-dependent transport is investigated in ballistic regime through the interface between a ferromagnet and a spin spiral. We show that spin-dependent interferences lead to a new type of diffraction called "spin-diffraction". It is shown…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Aurélien Manchon , Natalya Ryzhanova , A. Vedyayev , Bernard Dieny

We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization,…

Statistical Mechanics · Physics 2020-09-17 Michele Fava , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur , S. A. Parameswaran

We study the diffusion process in a Heisenberg chain with correlated spatial disorder, with a power spectrum in the momentum space behaving as $k^{-\beta}$, using a stochastic description. It establishes a direct connection between the…

Statistical Mechanics · Physics 2007-05-23 M. H. Vainstein , R. Morgado , F. A. Oliveira , F. A. B. F. de Moura , M. D. Coutinho-Filho

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

Strongly Correlated Electrons · Physics 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

For the time being isotropic three-body exchange interactions are scarcely explored and mostly used as a tool for constructing various exactly solvable one-dimensional models, although, generally speaking, such competing terms in generic…

Strongly Correlated Electrons · Physics 2014-10-08 N. B. Ivanov , J. Ummethum , J. Schnack

The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N)-symmetric, relativistic, quantum field theory of a N-component scalar field in $d$ spatial dimensions. A…

Strongly Correlated Electrons · Physics 2025-09-08 Subir Sachdev

The transport of charge and spin at finite energies is studied for the Hubbard chain in a magnetic field by means of the pseudoparticle perturbation theory. In the general case, this involves the solution of an infinite set of Bethe-ansatz…

Strongly Correlated Electrons · Physics 2008-02-03 N. M. R. Peres , P. D. Sacramento , J. C. Carmelo

We introduce a multi-species generalization of the hard-rod gas in which each species has a distinct effective length, and the repulsive scattering shift is set by the smaller of the two colliding rods. We argue that this model shares key…

Strongly Correlated Electrons · Physics 2026-03-03 Andrew Urilyon , Romain Vasseur , Sarang Gopalakrishnan , Jacopo De Nardis

Spin transport properties of the quantum one-dimensional non-linear sigma model are studied based upon the Bethe ansatz exact solution for the O(3) sigma model and the 1/N-expansion approach for the O(N) sigma model. It is shown that the…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

Using a global optimization algorithm we obtain spin chains with site-dependent exchange coefficients which allow almost perfect quantum state transfer between the extremes of the chains without any further time-dependent external control.…

Quantum Physics · Physics 2022-10-07 Pablo Serra , Alejandro Ferrón , Omar Osenda

We study the effective dynamics of ferromagnetic spin chains in presence of long-range interactions. We consider the Heisenberg Hamiltonian in one dimension for which the spins are coupled through power-law long-range exchange interactions…

Motivated by the lack of direct evidence with inelastic neutron scattering of the well documented bound state of Heisenberg ferromagnets, we use the time-dependent Thermal Density Matrix Renormalization Group algorithm to study the…

Strongly Correlated Electrons · Physics 2022-03-07 Mithilesh Nayak , Frédéric Mila

We analyze the entanglement of SU(2)-invariant density matrices of two spins $\vec S_{1}$, $\vec S_{2}$ using the Peres-Horodecki criterion. Such density matrices arise from thermal equilibrium states of isotropic spin systems. The partial…

Quantum Physics · Physics 2009-11-07 John Schliemann

We consider the spin-1/2 XY chain in a transverse field with regularly varying exchange interactions and on-site fields. In two limiting cases of the isotropic XX and extremely anisotropic (Ising) exchange interaction the thermodynamic…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko

Universality is a crucial concept in modern physics, allowing us to capture the essential features of a system's behavior using a small set of parameters. In this work, we unveil universal spin relaxation dynamics in anisotropic random…

Strongly Correlated Electrons · Physics 2025-04-09 Tian-Gang Zhou , Wei Zheng , Pengfei Zhang

The excitation spectrum of the one-dimensional spin-orbital model in a magnetic field is studied, using a recently developed dynamical density matrix renormalization group technique. The method is employed on chains with up to 80 sites, and…

Strongly Correlated Electrons · Physics 2009-10-31 Weiqiang Yu , Stephan Haas