Zero-frequency transport properties of one-dimensional spin- 1 2 systems

By F. Heidrich-Meisner, A. Honecker, D. Cabra, W. Brenig. 2003

137 citations recorded by the source corpus.

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 nonintegrable 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 those of 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 nonintegrable 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 of whether the Drude weights are finite or not. One of our main results is that the Drude weights vanish in the thermodynamic limit for nonintegrable models.

View Paper: https://www.semanticscholar.org/paper/85c6b050f07c11c16ff6d3896e0240b0994cd46f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Marko Znidaric
2. J. Dubail
3. Xiangyu Cao

Citations in the corpus

• Matrix product simulations of non-equilibrium steady states of quantum spin chains (2008, methodology): “The integrableXXZ Heisenberg model in the absence of magnetic field is known to display an ideal spin conduction for Δ < 1 while it is probably a diffusive (normal) spin conductor for Δ > 1 [27, 28, 30, 31].”