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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6904https://doi.org/10.4213/tmf6904 https://www.mathnet.ru/eng/tmf/v171/i2/p340
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