We study an incommensurate XXZ spin chain coupled to a collection of local harmonic baths. At zero temperature, by varying the strength of the coupling to the bath the chain undergoes a quantum phase transition between a Luttinger liquid phase and a spin density wave (SDW). As opposed to the standard mechanism, the SDW emerges in the absence of the opening of a gap, but it is due to ``fractional excitations" induced by the bath. We also show, by computing the DC conductivity, that the system is insulating in the presence of a subohmic bath. We interpret this phenomenon as localization induced by the bath \`a la Caldeira and Leggett.
@article{arxiv.2307.07989,
title = {Localization induced by spatially uncorrelated subohmic baths in one dimension},
author = {Saptarshi Majumdar and Laura Foini and Thierry Giamarchi and Alberto Rosso},
journal= {arXiv preprint arXiv:2307.07989},
year = {2023}
}