Chandrasekaran_Shtyk_Betouras_Chamon_PRR_2020.pdf (2.49 MB)
Catastrophe theory classification of Fermi surface topological transitions in two dimensions
journal contributionposted on 2021-01-05, 11:46 authored by Anirudh Chandrasekaran, Alex Shtyk, Joseph BetourasJoseph Betouras, Claudio Chamon
We classify all possible singularities in the electronic dispersion of two-dimensional systems that occur when the Fermi surface changes topology, using catastrophe theory. For systems with up to seven control parameters (i.e., pressure, strain, bias voltage, etc), the theory guarantees that the singularity belongs to to one of seventeen standard types. We show that at each of these singularities the density of states diverges as a power law, with a universal exponent characteristic of the particular catastrophe, and we provide its universal ratio of amplitudes of the prefactors of energies above and below the singularity. We further show that crystal symmetry restricts which types of catastrophes can occur at the points of high symmetry in the Brillouin zone. For each of the seventeen wallpaper groups in two-dimensions, we list which catastrophes are possible at each high symmetry point.
DOE Grant No. DEFG02-06ER46316
Controlling unconventional properties of correlated materials by Fermi surface topological transitions and deformations.
Engineering and Physical Sciences Research CouncilFind out more...
Published inPhysical Review Research
PublisherAmerican Physical Society (APS)
- VoR (Version of Record)
Publisher statementThis is an Open Access Article. It is published by American Physical Society (APS) under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/