Geodesic
Persistent currents in open spin chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 340-352

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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. 
@article{TMF_2012_171_2_a13,
     author = {H. Frahm and J. H. Grelik and A. Seel},
     title = {Persistent currents in open spin chains},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {340--352},
     publisher = {mathdoc},
     volume = {171},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a13/}
}
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H. Frahm; J. H. Grelik; A. Seel. Persistent currents in open spin chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 2, pp. 340-352. http://geodesic.mathdoc.fr/item/TMF_2012_171_2_a13/