Transport in Almost Integrable Models: Perturbed Heisenberg Chains

Details Transport in Almost Integrable Models: Perturbed Heisenberg Chains Transport in Almost Integrable Models: Perturbed Heisenberg Chains

2005-09-23

arxiv.org/abs/cond-mat/0509615v2

Phys. Rev. Lett. 96 067202 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, several minor modifications, title changed

Scientific paper

10.1103/PhysRevLett.96.067202

The heat conductivity kappa(T) of integrable models, like the one-dimensional spin-1/2 nearest-neighbor Heisenberg model, is infinite even at finite temperatures as a consequence of the conservation laws associated with integrability. Small perturbations lead to finite but large transport coefficients which we calculate perturbatively using exact diagonalization and moment expansions. We show that there are two different classes of perturbations. While an interchain coupling of strength J_perp leads to kappa(T) propto 1/J_perp^2 as expected from simple golden-rule arguments, we obtain a much larger kappa(T) propto 1/J'^4 for a weak next-nearest neighbor interaction J'. This can be explained by a new approximate conservation law of the J-J' Heisenberg chain.

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