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

Mai, Peizhi and Krishna-murthy, HR and Shastry, Sriram B (2016) Renormalization group study of a Fragile Fermi liquid in 1+epsilon dimensions. In: ANNALS OF PHYSICS, 370 . pp. 77-104.

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Official URL: http://dx.doi.org/10.1016/j.aop.2016.03.011

Abstract

We present a calculation of the low energy Greens function of interacting fermions in 1 + epsilon dimensions using the method of extended poor man's scaling, developed here. We compute the wave function renormalization Z(omega) and also the decay rate near the Fermi energy. Despite the lack of omega(2) damping characteristic of 3-dimensional Fermi liquids, we show that quasiparticles do exist in 1 + epsilon 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. (C) 2016 Elsevier Inc. All rights reserved.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Keywords: Fragile Fermi Liquid; Renormalization group in 1+epsilon dimensions; Quasiparticle weight; Quasiparticle damping rate; Crossover between Fermi liquid and Tomonaga-Luttinger liquid; Electron spectral function
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 22 Jun 2016 05:16
Last Modified: 22 Jun 2016 05:16
URI: http://eprints.iisc.ernet.in/id/eprint/54034

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