Universität zu Köln

Popkov, V., Karevski, D. and Schuetz, G. M. (2013). Driven isotropic Heisenberg spin chain with arbitrary boundary twisting angle: Exact results. Phys. Rev. E, 88 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

We consider an open isotropic Heisenberg quantum spin chain, coupled at the ends to boundary reservoirs polarized in different directions, which sets up a twisting gradient across the chain. Using a matrix product ansatz, we calculate the exact magnetization profiles and magnetization currents in the nonequilibrium steady state of a chain with N sites. The magnetization profiles are harmonic functions with a frequency proportional to the twisting angle theta. The currents of the magnetization components lying in the twisting plane and in the orthogonal direction behave qualitatively differently: In-plane steady-state currents scale as 1/N-2 for fixed and sufficiently large boundary coupling, and vanish as the coupling increases, while the transversal current increases with the coupling and saturates to 2 theta/N.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popkov, V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Karevski, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schuetz, G. M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-470191
DOI:	10.1103/PhysRevE.88.062118
Journal or Publication Title:	Phys. Rev. E
Volume:	88
Number:	6
Date:	2013
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47019