Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Efficient momentum relaxation through umklapp scattering, leading to a power law in
temperature dc resistivity, requires a significant low energy spectral weight at finite …

A general discussion of the ratio of thermal and electrical conductivities in non-Fermi liquid
metals is given. In metals with sharp Drude peaks, the relevant physics is correctly …

We study the spin and energy dynamics in one-dimensional spin-1 2 systems induced by
local quantum quenches at finite temperatures using a time-dependent density matrix …

Transport properties provide important information about the mobility, elastic and inelastic of
scattering of excitations in solids. Heat transport is well understood for phonons and …

We present numerical results for the spin and thermal conductivity of one-dimensional (1D)
quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 …

We discuss the recent progress and the current status of experimental investigations of spin-
mediated energy transport in spin-chain and spin-ladder materials with antiferromagnetic …

Fundamental conservation laws predict ballistic, ie, dissipationless transport behavior in one-
dimensional quantum magnets. Experimental evidence, however, for such anomalous …