Finite temperature transport in disordered Heisenberg chains

Abstract

Using numerical diagonalization techniques, we explore the effect of local and bond disorder on the finite temperature spin and thermal conductivities of the one dimensional anisotropic spin-1/2 Heisenberg model. High-temperature results for local disorder show that the dc conductivties are finite, apart from the uncorrelated - XY case - where dc transport vanishes. Moreover, at strong disorder, we find finite dc conductivities at all temperatures $T$, except T=0. The low frequency conductivities are characterized by a nonanalytic cusp shape. Similar behavior is found for bond disorder.

4 pages, 6 figures

References in corpus (4)

• Many body localization in Heisenberg XXZ magnet in a random field
• Heat conduction in low-dimensional quantum magnets
• Variable range hopping and quantum creep in one dimension
• Optical response of electrons in a random potential

Cited by in corpus (2)

• Incoherent transport induced by a single static impurity in a Heisenberg chain
• Energy Transport in an Ising Disordered Model