Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Spurrier, Stephen https://orcid.org/0000-0002-1030-2796
Cooper, NR
Abstract
We show that electronic materials with disallowed rotational symmetries that enforce quasiperiodic order can exhibit quantum oscillations and that these are generically associated with exotic "spiral Fermi surfaces." These Fermi surfaces are self-intersecting, and characterized by a winding number of their surface tangent---a topological invariant---that is larger than one. We compute the nature of the quantum oscillations in two experimentally relevant settings which give rise to spiral Fermi surfaces: a "nearly-free-electron" quasicrystal, and \ang{30} twisted bilayer graphene.
Description
Keywords
cond-mat.mes-hall, cond-mat.mes-hall, cond-mat.dis-nn, cond-mat.str-el, quant-ph
Journal Title
Physical Review B
Conference Name
Journal ISSN
2469-9950
2469-9969
2469-9969
Volume Title
100
Publisher
American Physical Society (APS)
Publisher DOI
Rights
All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/K030094/1)
Simons Foundation (511029)
Engineering and Physical Sciences Research Council (EP/P034616/1)
Engineering and Physical Sciences Research Council (EP/P009565/1)
Simons Foundation (511029)
Engineering and Physical Sciences Research Council (EP/P034616/1)
Engineering and Physical Sciences Research Council (EP/P009565/1)
EPSRC grants EP/K030094/1, EP/P034616/1 and EP/P009565/1, and a Simons Investigator award of the Simons Foundation