The energy spectrum of a one-dimensional, exactly solvable spin model formed by two semi-infinite XY spin chains with spin s=1/2 with a point-contact interaction in a longitudinal magnetic field is calculated. It is shown that the spectrum of such a system can contain one or two local energy levels apart from two bands overlapping in weak fields. Local thermodynamic parameters of the chains can have singularities at zero temperature.

Low Temperature PhysicsMay 1, 19981 citation

Long-range magnetic response of the XY spin chain under far-from-equilibrium conditions

Anna Gorczyca–Goraj, Marcin Mierzejewski, Tomaž Prosen

Physical Review BMay 27, 20105 citations

Physica A Statistical Mechanics and its Applications

Local magnetization of the semi-infinite XY-chain

R. Z. Bariev

Published Sep 1, 1980• 13 citations

Publisher

DOI: 10.1016/0378-4371(80)90224-1

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Within the formalism of the Keldysh Green's functions we investigate long-range response of an anisotropic $XY$ chain to the local magnetic field. This field couples to a single spin on a selected lattice site. The system is driven out of equilibrium by a coupling to two semi-infinite $XX$ spin chains. We demonstrate that the long-range response becomes enhanced by a few orders of magnitude upon application of nonequilibrium conditions. This enhancement does not occur in the isotropic $XX$ chain. Our results agree with the recently predicted nonequilibrium-driven long-range magnetic correlations [T. Prosen and I. Pi\ifmmode \check{z}\else \v{z}\fi{}orn, Phys. Rev. Lett. 101, 105701 (2008)]. We argue that this effect may be observed in quasi-one-dimensional triplet superconductors.Within the formalism of the Keldysh Green's functions we investigate long-range response of an anisotropic $XY$ chain to the local magnetic field. This field couples to a single spin on a selected lattice site. The system is driven out of equilibrium by a coupling to two semi-infinite $XX$ spin chains. We demonstrate that the long-range response becomes enhanced by a few orders of magnitude upon application of nonequilibrium conditions. This enhancement does not occur in the isotropic $XX$ chain. Our results agree with the recently predicted nonequilibrium-driven long-range magnetic correlations [T. Prosen and I. Pi\ifmmode \check{z}\else \v{z}\fi{}orn, Phys. Rev. Lett. 101, 105701 (2008)]. We argue that this effect may be observed in quasi-one-dimensional triplet superconductors.

Physical Review BMay 27, 20105 citations

Within the formalism of the Keldysh Green's functions we investigate long-range response of an anisotropic

XY

chain to the local magnetic field. This field couples to a single spin on a selected lattice site. The system is driven out of equilibrium by a coupling to two semi-infinite

XX

spin chains. We demonstrate that the long-range response becomes enhanced by a few orders of magnitude upon application of nonequilibrium conditions. This enhancement does not occur in the isotropic

XX

chain. Our results agree with the recently predicted nonequilibrium-driven long-range magnetic correlations [T. Prosen and I. Pi\ifmmode \check{z}\else \v{z}\fi{}orn, Phys. Rev. Lett. 101, 105701 (2008)]. We argue that this effect may be observed in quasi-one-dimensional triplet superconductors.