English

Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension

Strongly Correlated Electrons 2009-11-10 v2 Statistical Mechanics

Abstract

Using conformal perturbation theory, we show that for some classes of the one-dimensional quantum liquids that possess the Luttinger liquid fixed point in the low energy limit, the Drude weight at finite temperatures is non-vanishing, even when the system is {\it non-integrable} and the total current is not conserved. We also obtain the asymptotically exact low-temperature formula of the Drude weight for Heisenberg XXZ spin chains, which agrees quite well with recent numerical data.

Keywords

Cite

@article{arxiv.cond-mat/0301253,
  title  = {Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension},
  author = {Satoshi Fujimoto and Norio Kawakami},
  journal= {arXiv preprint arXiv:cond-mat/0301253},
  year   = {2009}
}

Comments

Title is a little changed. References are updated. To appear in Physical Review Letters