Analytic solution of the domain-wall nonequilibrium stationary state

We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetizations. We study the stationary state which emerges by the unitary evolution via the spin-1/2XXZ Hamiltonian, in the gapless regime, where the system develops a stationary spin current. Usi...

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Principais autores: Collura, Mario, De Luca, Andrea, Viti, Jacopo
Formato: article
Idioma:English
Publicado em: American Physical Society
Assuntos:
Analytic solution
Nonequilibrium stationary stat
Domain-wall
Stationary state
Endereço do item:https://repositorio.ufrn.br/handle/123456789/30467
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spelling ri-123456789-304672020-10-25T07:56:06Z Analytic solution of the domain-wall nonequilibrium stationary state Collura, Mario De Luca, Andrea Viti, Jacopo Analytic solution Nonequilibrium stationary stat Domain-wall Stationary state We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetizations. We study the stationary state which emerges by the unitary evolution via the spin-1/2XXZ Hamiltonian, in the gapless regime, where the system develops a stationary spin current. Using the generalized hydrodynamic approach, we present a simple formula for the space-time profile of the spin current and the magnetization exact in the limit of long times. As a remarkable effect, we show that the stationary state has a strongly discontinuous dependence on the strength of interaction as confirmed by the exact analytic expression of the Drude weight that we compute. These features allow us to give a qualitative estimation for the transient behavior of the current which is in good agreement with numerical simulations. Moreover, we analyze the behavior around the edge of the magnetization profile, and we argue that, unlike theXXfree-fermionic point, interactions always prevent the emergence of a Tracy-Widom scaling 2020-10-20T23:52:34Z 2020-10-20T23:52:34Z 2018-02-28 article COLLURA, Mario; LUCA, Andrea de; VITI, Jacopo. Analytic solution of the domain-wall nonequilibrium stationary state. Physical Review B, [S.L.], v. 97, n. 8, p. 081111-081116, 28 fev. 2018. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.081111. Acesso em: 07 out. 2020. http://dx.doi.org/10.1103/physrevb.97.081111 2469-9969 https://repositorio.ufrn.br/handle/123456789/30467 10.1103/physrevb.97.081111 en application/pdf American Physical Society
institution Repositório Institucional
collection RI - UFRN
language English
topic Analytic solution
Nonequilibrium stationary stat
Domain-wall
Stationary state
spellingShingle Analytic solution
Nonequilibrium stationary stat
Domain-wall
Stationary state
Collura, Mario
De Luca, Andrea
Viti, Jacopo
Analytic solution of the domain-wall nonequilibrium stationary state
description We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetizations. We study the stationary state which emerges by the unitary evolution via the spin-1/2XXZ Hamiltonian, in the gapless regime, where the system develops a stationary spin current. Using the generalized hydrodynamic approach, we present a simple formula for the space-time profile of the spin current and the magnetization exact in the limit of long times. As a remarkable effect, we show that the stationary state has a strongly discontinuous dependence on the strength of interaction as confirmed by the exact analytic expression of the Drude weight that we compute. These features allow us to give a qualitative estimation for the transient behavior of the current which is in good agreement with numerical simulations. Moreover, we analyze the behavior around the edge of the magnetization profile, and we argue that, unlike theXXfree-fermionic point, interactions always prevent the emergence of a Tracy-Widom scaling
format article
author Collura, Mario
De Luca, Andrea
Viti, Jacopo
author_facet Collura, Mario
De Luca, Andrea
Viti, Jacopo
author_sort Collura, Mario
title Analytic solution of the domain-wall nonequilibrium stationary state
title_short Analytic solution of the domain-wall nonequilibrium stationary state
title_full Analytic solution of the domain-wall nonequilibrium stationary state
title_fullStr Analytic solution of the domain-wall nonequilibrium stationary state
title_full_unstemmed Analytic solution of the domain-wall nonequilibrium stationary state
title_sort analytic solution of the domain-wall nonequilibrium stationary state
publisher American Physical Society
publishDate 2020
url https://repositorio.ufrn.br/handle/123456789/30467
work_keys_str_mv AT colluramario analyticsolutionofthedomainwallnonequilibriumstationarystate
AT delucaandrea analyticsolutionofthedomainwallnonequilibriumstationarystate
AT vitijacopo analyticsolutionofthedomainwallnonequilibriumstationarystate
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