Quantitative analytical theory for disordered nodal points

Disorder effects are especially pronounced around nodal points in linearly dispersing band structures as present in graphene or Weyl semimetals. Despite the enormous experimental and numerical progress, even a simple quantity like the average density of states cannot be assessed quantitatively by an...

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Bibliographic Details
Published in:Physical review. B 2017-08, Vol.96 (6), Article 064203
Main Authors: Sbierski, Björn, Madsen, Kevin A., Brouwer, Piet W., Karrasch, Christoph
Format: Article
Language:English
Subjects:
Computer simulation
Graphene
Mathematical analysis
Mathematical models
Metalloids
Three dimensional models
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Summary:Disorder effects are especially pronounced around nodal points in linearly dispersing band structures as present in graphene or Weyl semimetals. Despite the enormous experimental and numerical progress, even a simple quantity like the average density of states cannot be assessed quantitatively by analytical means. We demonstrate how this important problem can be solved employing the functional renormalization group method, and, for the two-dimensional case, we demonstrate excellent agreement with reference data from numerical simulations based on tight-binding models. In three dimensions our analytic results also improve drastically on existing approaches.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.96.064203