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Thermal conductivity of anisotropic spin-1/2 two leg ladder: Green’s function approach

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Abstract

We study the thermal transport of a spin-1/2 two leg antiferromagnetic ladder in the direction of legs. The possible effect of spin-orbit coupling and crystalline electric field are investigated in terms of anisotropies in the Heisenberg interactions on both leg and rung couplings. The original spin ladder is mapped to a bosonic model via a bond-operator transformation, where an infinite hard-core repulsion is imposed to constrain one boson occupation per site. The Green’s function approach is applied to obtain the energy spectrum of quasi-particle excitations responsible for thermal transport. The thermal conductivity is found to be monotonically decreasing with temperature due to increased scattering among triplet excitations at higher temperatures. A tiny dependence of thermal transport on the anisotropy in the leg direction at low temperatures is observed in contrast to the strong one on the anisotropy along the rung direction, due to the direct effect of the triplet densities. Our results reach asymptotically the ballistic regime of the spin-1/2 Heisenberg chain and present a complement regime for the exact diagonalization data.

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Authors and Affiliations

  1. Department of Physics, Razi University, Kermanshah, 67149, Islamic Republic of Iran

    Hamed Rezania

  2. Department of Physics, Sharif University of Technology, P.O. Box 11155-9161, Tehran, Islamic Republic of Iran

    Abdollah Langari

  3. Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

    Paul H. M. van Loosdrecht

  4. Physikalisches Institut, University of Cologne, 50937, Köln, Germany

    Paul H. M. van Loosdrecht & Xenophon Zotos

  5. Department of Physics and Institute of Theoretical and Computational Physics, University of Crete, 71003, Heraklion, Crete, Greece

    Xenophon Zotos

Authors
  1. Hamed Rezania
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  2. Abdollah Langari
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  3. Paul H. M. van Loosdrecht
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  4. Xenophon Zotos
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Correspondence to Hamed Rezania.

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Rezania, H., Langari, A., van Loosdrecht, P.H.M. et al. Thermal conductivity of anisotropic spin-1/2 two leg ladder: Green’s function approach. Eur. Phys. J. B 87, 173 (2014). https://doi.org/10.1140/epjb/e2014-50018-4

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  • DOI: https://doi.org/10.1140/epjb/e2014-50018-4

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