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We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal correlation functions are obtained by…

Statistical Mechanics · Physics 2019-10-16 Jonas Richter , Niklas Casper , Wolfram Brenig , Robin Steinigeweg

Magnetization transport in a one-dimensional isotropic spin 1/2 Heisenberg model is studied. It is shown that in a nonequilibrium steady state at high temperature and constant small driving the magnetization current depends on the system…

Strongly Correlated Electrons · Physics 2012-03-05 Marko Znidaric

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

Using numerical diagonalization techniques, we explore the effect of local and bond disorder on the finite temperature spin and thermal conductivities of the one dimensional anisotropic spin-1/2 Heisenberg model. High-temperature results…

Strongly Correlated Electrons · Physics 2009-02-02 A. Karahalios , A. Metavitsiadis , X. Zotos , A. Gorczyca , P. Prelovšek

The spin transport in isotropic Heisenberg model in the sector with zero magnetization is generically super-diffusive. Despite that, we here demonstrate that for a specific set of domain-wall-like initial product states it can instead be…

Strongly Correlated Electrons · Physics 2017-11-08 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

We study transport properties of anisotropic Heisenberg model in a disordered magnetic field experiencing dephasing due to external degrees of freedom. In the absence of dephasing the model can display, depending on parameter values, the…

Strongly Correlated Electrons · Physics 2015-03-13 Marko Znidaric

We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling and zero magnetization. Implementing matrix-product-operator simulations of the non-equilibrium steady states of…

Strongly Correlated Electrons · Physics 2013-04-09 Tomaz Prosen , Marko Znidaric

We study magnetization transport at high temperatures in several spin ladder systems as well as in next-nearest-neighbor coupled spin chains. In the integrable ladder considered we analytically show that the transport is ballistic in…

Strongly Correlated Electrons · Physics 2013-11-28 Marko Znidaric

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic…

Strongly Correlated Electrons · Physics 2011-06-03 Marko Znidaric

We study the effects of finite temperature on the dynamics of non-planar vortices in the classical, two-dimensional anisotropic Heisenberg model with XY- or easy-plane symmetry. To this end, we analyze a generalized Landau-Lifshitz equation…

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime. By employing a density matrix renormalization group technique for the study of the stationary states of the boundary-driven Lindblad equation…

Disordered Systems and Neural Networks · Physics 2016-07-27 Marko Znidaric , Antonello Scardicchio , Vipin Kerala Varma

Using the adaptive time-dependent density matrix renormalization group method, we numerically study the spin dynamics and transport in one-dimensional spin-1/2 systems at zero temperature. Instead of computing transport coefficients from…

Strongly Correlated Electrons · Physics 2009-06-16 S. Langer , F. Heidrich-Meisner , J. Gemmer , I. P. McCulloch , U. Schollwoeck

We investigate the role of momentum for the transport of magnetization in the spin-1/2 Heisenberg chain above the isotropic point at finite temperature and momentum. Using numerical and analytical approaches, we analyze the autocorrelations…

Strongly Correlated Electrons · Physics 2011-12-20 Robin Steinigeweg , Wolfram Brenig

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

Uniaxially (Z-axis) anisotropic Heisenberg ferromagnet, in presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised where…

Statistical Mechanics · Physics 2011-01-21 Muktish Acharyya

The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one dimension are Bethe-ansatz integrable,…

Strongly Correlated Electrons · Physics 2021-05-12 B. Bertini , F. Heidrich-Meisner , C. Karrasch , T. Prosen , R. Steinigeweg , M. Znidaric

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

The temperature-driven reorientation transition which, up to now, has been studied by use of Heisenberg-type models only, is investigated within an itinerant-electron model. We consider the Hubbard model for a thin fcc(100) film together…

Strongly Correlated Electrons · Physics 2009-10-31 T. Herrmann , M. Potthoff , W. Nolting
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