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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 340–352
DOI: https://doi.org/10.4213/tmf6904 (Mi tmf6904) 		 
Persistent currents in open spin chains

H. Frahma, J. H. Grelika, A. Seelb

a Institute of Theoretical Physics, Leibniz University of Hannover
b Institut für Theoretische Elektrotechnik und Photonik, Universität Siegen, Siegen, Germany
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DOI: https://doi.org/10.4213/tmf6904
Abstract: Nonparallel boundary magnetic fields can induce a longitudinal (spin) current in a quantum spin chain. We use functional approaches to formulate the spectral problem for the spin-$1/2$ Heisenberg model subject to a class of integrable boundary conditions in terms of an infinite hierarchy of nonlinear integral equations. From these equations, we compute finite-size corrections to the ground-state energy of the antiferromagnetic chain and the induced spin current for a certain range of boundary parameters.
Keywords: integrable spin chain, boundary field, Bethe ansatz, $Y$ system.
Received: 29.04.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 715–724
DOI: https://doi.org/10.1007/s11232-012-0069-7
Bibliographic databases:
Language: Russian
Citation: H. Frahm, J. H. Grelik, A. Seel, “Persistent currents in open spin chains”, TMF, 171:2 (2012), 340–352; Theoret. and Math. Phys., 171:2 (2012), 715–724
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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