Zero-frequency transport properties of one-dimensional spin-systems
- 22 October 2003
- journal article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 68 (13)
- https://doi.org/10.1103/physrevb.68.134436
Abstract
We report a detailed analysis of the Drude weights for both thermal and spin transport in one dimensional spin-1/2 systems by means of exact diagonalization and analytic approaches at finite temperatures. Transport properties are studied first for the integrable XXZ model and second for various non-integrable systems such as the dimerized chain, the frustrated chain, and the spin ladder. We compare our results obtained by exact diagonalization and mean-field theory with the Bethe ansatz, bosonization and other numerical studies in the case of the anisotropic Heisenberg model both in the gapless and gapped regime. In particular, we find indications that the Drude weight for spin transport is finite in the thermodynamic limit for the isotropic chain. For the non-integrable models, a finite-size analysis of the numerical data for the Drude weights is presented covering the entire parameter space of the dimerized and frustrated chain. We also discuss which conclusions can be drawn from bosonization regarding the question whether the Drude weights are finite or not. One of our main results is that the Drude weights vanish in the thermodynamic limit for non-integrable models.Comment: 19 pages REVTeX4 including 16 figures; final version to appear in Phys. Rev. B; minor changeKeywords
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This publication has 65 references indexed in Scilit:
- Evidence for a large magnetic heat current in insulating layered cupratesPhysical Review B, 2003
- Universal behavior of spin-mediated energy transport in S = 1/2 chain cuprates: BaCu 2 Si 2 O 7 as an exampleEurophysics Letters, 2003
- Magnon hole scattering in (Sr,Ca,La)14Cu24O41Physica B: Condensed Matter, 2002
- Magnon heat transport inPhysical Review B, 2001
- Heat transport by lattice and spin excitations in the spin-chain compounds andPhysical Review B, 2001
- Spin Gap and Hole Pairing in the Spin-Ladder Cuprate Sr14-xAxCu24O41(A=Ca and La) Studied by the Thermal ConductivityJournal of the Physics Society Japan, 2001
- Thermal conductivity and specific heat of the linear chain cuprateEvidence for thermal transport via spinonsPhysical Review B, 2000
- Thermal Conductivity of the Hole-Doped Spin Ladder SystemPhysical Review Letters, 2000
- Thermal conductivity of the spin-Peierls compoundPhysical Review B, 1998
- In-plane and out-of-plane thermal conductivity of La2−æSræCuO4 single crystalsPhysica C: Superconductivity and its Applications, 1991