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

We identify a class of one-dimensional spin and fermionic lattice models that display
diverging spin and charge diffusion constants, including several paradigmatic models of …

Using the framework of generalized hydrodynamics, we compute the low-frequency spin
conductivity σ (ω) of XXZ spin chains with easy-plane anisotropy. We find that for almost all …

We study energy transport in disordered XXZ spin-1/2 chains driven to nonequilibrium
configurations by thermal reservoirs of different temperatures at the boundaries, using large …

We investigate the high-temperature dynamical conductivity σ (ω) in two one-dimensional
integrable quantum lattice models: the anisotropic XXZ spin chain and the Hubbard chain …

We study magnetization transport in anisotropic spin-1 2 chains governed by the integrable
XXZ model with and without integrability-breaking perturbations at high temperatures …

In this work, spin transport in the XXZ model is investigated. As a quantum integrable model
the XXZ spin chain contains infinitely many conserved charges. The presence of these …

The Drude weight for the spin transport of the spin-1/2$ XXZ $ Heisenberg chain in the
critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic …

We study quantum spin transport in clean anisotropic spin-half chains, at and away from
integrability. Using exact diagonalization, a set of exact sum-rule moment relations and a …