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
Full text not available from this repository.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: |
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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 | ||||||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/47019 |
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