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Localization induced by spatially uncorrelated subohmic baths in one dimension

Published inPhysical Review B, vol. 108, no. 20, 205138
Publication date2023
First online date2023-11-17
Abstract

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). Our results are consistent with the Berezinskii-Kosterlitz-Thouless (BKT) transition. 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 à la Caldeira and Leggett.

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MAJUMDAR, Saptarshi et al. Localization induced by spatially uncorrelated subohmic baths in one dimension. In: Physical Review B, 2023, vol. 108, n° 20, p. 205138. doi: 10.1103/PhysRevB.108.205138
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ISSN of the journal2469-9950
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