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-1/2 XXZ 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 the XX free-fermionic point, interactions always prevent the emergence of a Tracy-Widom scaling.

Analytic solution of the domain-wall nonequilibrium stationary state / Collura, Mario; De Luca, Andrea; Viti, Jacopo. - In: PHYSICAL REVIEW. B. - ISSN 2469-9969. - 97:8(2018), pp. 1-6. [10.1103/PhysRevB.97.081111]

Analytic solution of the domain-wall nonequilibrium stationary state

Collura, Mario;De Luca, Andrea;Viti, Jacopo
2018

Abstract

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-1/2 XXZ 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 the XX free-fermionic point, interactions always prevent the emergence of a Tracy-Widom scaling.
97
8
1
6
081111(R)
https://arxiv.org/abs/1707.06218
Collura, Mario; De Luca, Andrea; Viti, Jacopo
File in questo prodotto:
File Dimensione Formato  
PhysRevB.97.081111.pdf

non disponibili

Descrizione: main article
Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 427.67 kB
Formato Adobe PDF
427.67 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
PhysRevB.97.081111_SM.pdf

non disponibili

Descrizione: Supplemental material
Tipologia: Altro materiale allegato
Licenza: Non specificato
Dimensione 1.12 MB
Formato Adobe PDF
1.12 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/103438
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 96
  • ???jsp.display-item.citation.isi??? 91
social impact