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Bath induced phase transition in a Luttinger liquid

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arxiv 2210.01590 v1 pith:WSJOWUIF submitted 2022-10-04 cond-mat.dis-nn

Saptarshi Majumdar , Laura Foini , Thierry Giamarchi , Alberto Rosso This is my paper · ORCID
classification cond-mat.dis-nn
keywords bathphasespinliquidluttingerchaincouplingdissipative
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We study an XXZ spin chain, where each spin is coupled to an independent ohmic bath of harmonic oscillators at zero temperature. Using bosonization and numerical techniques, we show the existence of two phases separated by an Kosterlitz-Thouless (KT) transition. At low coupling with the bath, the chain remains in a Luttinger liquid phase with a reduced but finite spin stiffness, while above a critical coupling the system is in a dissipative phase characterized by a vanishing spin stiffness. We argue that the transport properties are also inhibited: the Luttinger liquid is a perfect conductor while the dissipative phase displays finite resistivity. Our results show that the effect of the bath can be interpreted as annealed disorder inducing signatures of localization.

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  1. One dimensional Bose-Hubbard model with long range hopping

    cond-mat.quant-gas 2025-06 conditional novelty 5.0 of 10

    A theory paper predicts the zero- and finite-temperature phase diagram of one-dimensional bosons with power-law hopping, including a divergent Tomonaga-Luttinger exponent for 2<α<3 at low temperature.

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