Conductivity of quantum spin chains: A quantum Monte Carlo approach

4 September 2002

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 66 (9) , 094403
https://doi.org/10.1103/physrevb.66.094403

Abstract

We discuss zero-frequency transport properties of various spin-1/2 chains. We show that a careful analysis of quantum Monte Carlo data on the imaginary axis allows to distinguish between intrinsic ballistic and diffusive transport. We determine the Drude weight, current-relaxation lifetime, and the mean free path for integrable and nonintegrable quantum spin chains. We discuss, in addition, some phenomenological relations between various transport-coefficients and thermal response functions.

Keywords

All Related Versions

Version 1, 2002-04-15, ArXiv

This publication has 31 references indexed in Scilit:

${}^{17}O$ NMR Study of $q = 0$ Spin Excitations in a Nearly Ideal $S = \frac{1}{2}$ 1D Heisenberg Antiferromagnet, ${Sr}_{2} {CuO}_{3}$ , up to 800 K
Physical Review Letters, 2001
Thermal conductivity and specific heat of the linear chain cuprate ${Sr}_{2} {CuO}_{3} :$ Evidence for thermal transport via spinons
Physical Review B, 2000
Transport in the $XXZ$ model
Physical Review B, 1998
Dynamic correlations of antiferromagnetic spin- XXZ chains at arbitrary temperature from complete diagonalization
Physical Review B, 1997
Dynamics in the $S = 1 / 2$ One-Dimensional Antiferromagnet ${Sr}_{2} {CuO}_{3}$ via $^{63} Cu$ NMR
Physical Review Letters, 1996
Magnetic Susceptibility of Ideal Spin 1 $/$ 2 Heisenberg Antiferromagnetic Chain Systems, ${Sr}_{2} {CuO}_{3}$ and ${SrCuO}_{2}$
Physical Review Letters, 1996
Evidence for ideal insulating or conducting state in a one-dimensional integrable system
Physical Review B, 1996
Magnetic susceptibility and low-temperature structure of the linear chain cuprate ${Sr}_{2}$ ${CuO}_{3}$
Physical Review B, 1995
Integrability and Ideal Conductance at Finite Temperatures
Physical Review Letters, 1995
Direct calculation of spin stiffness for spin-1/2 Heisenberg models
Physical Review B, 1994