Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.
In the RG terminology, the operator associated to the exponent 1 +nsbecomes marginal with respect to the LL fixed point and generates logarithmic corrections
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Functional renormalization group study of a dissipative Bose--Hubbard model
Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.