# Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects

## TL;DR

This paper studies the transport properties of a long-range Heisenberg XXZ chain driven out of equilibrium, revealing nearly ballistic transport and robustness against disorder, contrasting with short-range models.

## Contribution

It demonstrates that long-range interactions lead to robust ballistic transport and insensitivity to disorder under far-from-equilibrium conditions, unlike nearest-neighbor models.

## Key findings

- Long-range XXZ chain exhibits nearly ballistic transport.
- Transport in long-range chain is robust against disorder.
- Nearest-neighbor chain shows negative differential conductivity.

## Abstract

We investigate the Heisenberg XXZ-chain with long-range interactions in the Z-dimension. By applying two magnetic boundary reservoirs we drive the system out of equilibrium and induce a non-zero steady state current. The long-range coupled chain shows nearly ballistic transport and linear response for all potential differences of the external reservoirs. In contrast, the common isotropic nearest-neighbor coupling shows negative differential conductivity and a transition from diffusive to subdiffusive transport for a far from equilibrium driving. Adding disorder, the change in the transport for nearest neighbor coupling is therefore highly dependent on the driving. We find for the disordered long-range coupled XXZ-chain, any change in the transport behavior is independent of the potential difference and the coupling strengths of the external reservoirs.