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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…

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 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

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

Mathematical Physics · Physics 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

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

The conventional wisdom suggests that transports of conserved quantities in non-integrable quantum many-body systems at high temperatures are diffusive. However, we discover a counterexample of this paradigm by uncovering anomalous…

Quantum Physics · Physics 2024-03-27 Ang Yang , Jinlou Ma , Lei Ying

We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate…

Quantum Physics · Physics 2009-11-13 Hannu Wichterich , Markus J. Henrich , Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

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 consider the integrable one-dimensional spin-$1$ chain defined by the Zamolodchikov-Fateev (ZF) Hamiltonian. The latter is parametrized, analogously to the XXZ spin-$1/2$ model, by a continuous anisotropy parameter and at the isotropic…

Statistical Mechanics · Physics 2016-05-23 Lorenzo Piroli , Eric Vernier

Resonant behavior involving spin-orbit entangled states occurs for spin transport along a narrow channel defined in a two-dimensional electron gas, including an apparent rapid relaxation of the spin polarization for special values of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 D. H. Berman , M. Khodas , M. E. Flatté

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

Classical hydrodynamics is a remarkably versatile description of the coarse-grained behavior of many-particle systems once local equilibrium has been established. The form of the hydrodynamical equations is determined primarily by the…

Strongly Correlated Electrons · Physics 2021-03-19 A. Scheie , N. E. Sherman , M. Dupont , S. E. Nagler , M. B. Stone , G. E. Granroth , J. E. Moore , D. A. Tennant

We employ the Keldysh formalism in the quasiclassical approximation to study transport in a diffusive superconductor. The resulting 4x4 transport equations describe the flow of charge and energy as well as the corresponding flow of spin and…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

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 derive and study the effective spin model that explains the anomalous spin dynamics in the one-dimensional Hubbard model with strong potential disorder. Assuming that charges are localized, we show that spins are delocalized and their…

Strongly Correlated Electrons · Physics 2018-06-20 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

Understanding how hydrodynamic behaviour emerges from the unitary evolution of the many-particle Schr\"odinger equation is a central goal of non-equilibrium statistical mechanics. In this work we implement a digital simulation of the…

Quantum Physics · Physics 2023-07-25 Nathan Keenan , Niall Robertson , Tara Murphy , Sergiy Zhuk , John Goold

Supplementing the Heisenberg model with a Hubbard-commuting kinetic of electrons adds to its spectrum without interference. One consequence is the precise incorporation of canonical linear spin wave theory within the time-dependent…

Strongly Correlated Electrons · Physics 2024-12-11 Rohit Hegde

We investigate numerically the magnetisation dynamics of an array of nano-disks interacting through the magneto-dipolar coupling. In the presence of a temperature gradient, the chain reaches a non-equilibrium steady state where energy and…

Statistical Mechanics · Physics 2015-03-03 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonathan Chico , Lars Bergqvist , Anna Delin , Jonas Fransson

We study spin diffusion and spin waves in paramagnetic quantum crystals (solid He-3, for example) by direct simulation of a square lattice of atoms interacting via a nearest-neighbor Heisenberg exchange Hamiltonian. Recently, Cowan and…

Statistical Mechanics · Physics 2007-05-23 R. Ragan , K. Grunwald , C. Glenz

We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known Kipnis-Marchioro-Presutti (KMP) model, the finite…

Statistical Mechanics · Physics 2023-05-03 Chiara Franceschini , Rouven Frassek , Cristian Giardinà
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