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We consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their…

Mathematical Physics · Physics 2016-07-20 Ilya Kachkovskiy

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

We explore the physics of the disordered XYZ spin chain using two complementary numerical techniques: exact diagonalization (ED) on chains of up to 17 spins, and time-evolving block decimation (TEBD) on chains of up to 400 spins. Our…

Disordered Systems and Neural Networks · Physics 2018-11-14 Maximilian Schulz , Scott Richard Taylor , Christopher Andrew Hooley , Antonello Scardicchio

Studies relying on hydrodynamic theory and Kardar-Parisi-Zhang (KPZ) scaling have found that in the one-dimensional Hubbard model spin and charge transport are for all temperatures T > 0 anomalous superdiffusive at zero magnetic field, h =…

Strongly Correlated Electrons · Physics 2025-07-04 J. M. P. Carmelo , P. D. Sacramento

We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the…

Statistical Mechanics · Physics 2020-10-21 Alvise Bastianello , Jacopo De Nardis , Andrea De Luca

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real…

Strongly Correlated Electrons · Physics 2013-10-02 Y. Huang , C. Karrasch , J. E. Moore

The spin and charge transport in materials with spin-dependent conductivity has been studied. It was shown that there is a charge accumulation along spin diffusion in a ferromagnetic metal, which causes a shortening of the spin diffusion…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets

We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering technique, we obtain the exact scattering data and reconstruct the…

Statistical Mechanics · Physics 2019-04-10 Oleksandr Gamayun , Yuan Miao , Enej Ilievski

Using a macroscopic analysis, we show that time-dependent noncollinear spin transport possesses a wavelike character. This leads to modifications of pure spin-diffusion dynamics and allows one to extract a finite spin-signal propagation…

Materials Science · Physics 2013-05-29 Yao-Hui Zhu , Burkard Hillebrands , Hans Christian Schneider

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 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 construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this…

Statistical Mechanics · Physics 2026-01-09 Žiga Krajnik , Enej Ilievski , Tomaž Prosen , Vincent Pasquier

We analyze spin transport in insulating antiferromagnets described by the XXZ Heisenberg model in two and three dimensions. Spin currents can be generated by a magnetic-field gradient or, in systems with spin-orbit coupling, perpendicular…

Strongly Correlated Electrons · Physics 2007-06-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

In this short note we provide two extensions on the recent explicit results on the matrix-product ansatz for the non-equilibrium steady state of a markovianly boundary-driven anisotropic Heisenberg XXZ spin 1/2 chain. We write a…

Statistical Mechanics · Physics 2013-09-05 Tomaz Prosen

Spin transport electronics - spintronics - focuses on utilizing electron spin as a state variable for quantum and classical information processing and storage. Some insulating materials, such as diamond, offer defect centers whose…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 J. Cardellino , N. Scozzaro , M. R. Herman , A. J. Berger , C. Zhang , K. C. Fong , C. Jayaprakash , D. V. Pelekhov , P. C. Hammel

We report a detailed analysis of the Drude weights for both thermal and spin transport in one dimensional spin-1/2 systems by means of exact diagonalization and analytic approaches at finite temperatures. Transport properties are studied…

Strongly Correlated Electrons · Physics 2020-03-31 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

The classical drift diffusion (DD) model of spin transport treats spin relaxation via an empirical parameter known as the ``spin diffusion length''. According to this model, the ensemble averaged spin of electrons drifting and diffusing in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandipan Pramanik , Supriyo Bandyopadhyay , Marc Cahay

We consider spin dynamics in the impurity band of a semiconductor with spin-split spectrum. Due to the splitting, phonon-assisted hops from one impurity to another are accompanied by rotation of the electron spin, which leads to spin…

Disordered Systems and Neural Networks · Physics 2015-06-25 I. S. Lyubinskiy , A. P. Dmitriev , V. Yu. Kachorovskii

Integrable models support elementary excitations with infinite lifetimes. In the spin-1/2 Heisenberg chain these are known as spinons. We consider the stability of spinons when a weak integrability breaking perturbation is added to the…

Strongly Correlated Electrons · Physics 2017-08-09 Stefan Groha , Fabian H. L. Essler

Recent experiments in a mixture of two hyperfine states of trapped Bose gases show behavior analogous to a spin-1/2 system, including transverse spin waves and other familiar Leggett-Rice-type effects. We have derived the kinetic equations…

Other Condensed Matter · Physics 2009-11-11 W. J. Mullin , R. J. Ragan