@article{ISI:000376810500004, 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.}, author = {Mai, Peizhi and Krishna-murthy, H. R. and Shastry, B. Sriram}, doi = {10.1016/j.aop.2016.03.011}, eissn = {1096-035X}, issn = {0003-4916}, journal = {ANNALS OF PHYSICS}, month = {JUL}, orcid-numbers = {Shastry, Sriram/0000-0002-8665-5061}, pages = {77-104}, times-cited = {1}, title = {Renormalization group study of a Fragile Fermi liquid in 1+epsilon dimensions}, unique-id = {ISI:000376810500004}, volume = {370}, year = {2016} }