FisMat2017 - Submission - View

Abstract's title: Non-fermi liquids and fixed point collisions in 3D Luttinger semimetals
Submitting author: Igor Herbut
Affiliation: Simon Fraser University
Affiliation Address: Burnaby, BC, V5A 1S6
Country: Canada
Oral presentation/Poster (Author's request): Oral presentation
Other authors and affiliations:
Abstract

Abrikosov proposed in 1974 that a 3D electronic system with its fermi level at the point of quadratic band crossing, as in the (spin-orbit coupled) gray tin or mercury telluride, should represent the simplest non-fermi liquid, due to the common long-range Coulomb interaction between particles. I will review this idea and discuss how a non-fermi liquid ground state may be unstable to ordering via the mechanism of "fixed-point collision". This mechanism, with its concomitant hierarchy of scales, may also be identified as the culprit behind the notorious dynamical chiral symmetry breaking in the three dimensional electrodynamics, known as the effective theory of several strongly interacting condensed matter systems and as a favorite toy model of particle theorists. Some experimental consequences of the fixed point collision, and the effects of particle-hole asymmetry and spatial anisotropy will also be discussed.