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research article

Interacting Dirac materials

Banerjee, S.
•
Abergel, D. S. L.
•
Agren, H.
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September 23, 2020
Journal of Physics: Condensed Matter

We investigate the extent to which the class of Dirac materials in two-dimensions provides general statements about the behavior of both fermionic and bosonic Dirac quasiparticles in the interacting regime. For both quasiparticle types, we find common features for the interaction induced renormalization of the conical Dirac spectrum. We perform the perturbative renormalization analysis and compute the self-energy for both quasiparticle types with different interactions and collate previous results from the literature whenever necessary. Guided by the systematic presentation of our results in table1, we conclude that long-range interactions generically lead to an increase of the slope of the single-particle Dirac cone, whereas short-range interactions lead to a decrease. The quasiparticle statistics does not qualitatively impact the self-energy correction for long-range repulsion but does affect the behavior of short-range coupled systems, giving rise to different thermal power-law contributions. The possibility of a universal description of the Dirac materials based on these features is also mentioned.

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Type
research article
DOI
10.1088/1361-648X/ab9593
Web of Science ID

WOS:000551791500001

Author(s)
Banerjee, S.
Abergel, D. S. L.
Agren, H.
Aeppli, G.  
Balatsky, A., V
Date Issued

2020-09-23

Published in
Journal of Physics: Condensed Matter
Volume

32

Issue

40

Article Number

405603

Subjects

Physics, Condensed Matter

•

Physics

•

fermi liquid

•

dirac bosons

•

perturbation theory

•

electron-electron interactions

•

topological insulators

•

graphene

•

fermions

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LTM  
Available on Infoscience
August 6, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/170653
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