Renormalization group study of a Fragile Fermi liquid in 1+ϵ dimensions

We present a calculation of the low energy Greens function of interacting fermions in 1+ϵ dimensions using the method of extended poor man’s scaling, developed here. We compute the wave function renormalization Z(ω) and also the decay rate near the Fermi energy. Despite the lack of ω2 damping charac...

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Bibliographic Details
Published in:Annals of physics 2016-07, Vol.370 (C), p.77-104
Main Authors: Mai, Peizhi, Krishna-murthy, H.R., Sriram Shastry, B.
Format: Article
Language:English
Subjects:
Crossover between Fermi liquid and Tomonaga–Luttinger liquid
Electron spectral function
Fragile Fermi Liquid
Quasiparticle damping rate
Quasiparticle weight
Renormalization group in [formula omitted] dimensions
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Summary:We present a calculation of the low energy Greens function of interacting fermions in 1+ϵ dimensions using the method of extended poor man’s scaling, developed here. We compute the wave function renormalization Z(ω) and also the decay rate near the Fermi energy. Despite the lack of ω2 damping characteristic of 3-dimensional Fermi liquids, we show that quasiparticles do exist in 1+ϵ dimensions, in the sense that the quasiparticle weight Z is finite and that the damping rate is smaller than the energy. We explicitly compute the crossover from this behavior to a 1-dimensional type Tomonaga–Luttinger liquid behavior at higher energies. •The computation of the quasiparticle damping rate.•The ω/Z scaling of Green function.•Crossover between Fermi and Tomonaga–Luttinger liquid behaviors.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2016.03.011