Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 32018 (English)In: Physical Review X, ISSN 2160-3308, E-ISSN 2160-3308, Vol. 8, no 3, article id 031076Article in journal (Refereed) Published
Abstract [en]

Pursuing complementary field-theoretic and numerical methods, we here paint the global phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion, augmented by a perturbative renormalization-group analysis shows that weak disorder is an irrelevant perturbation at the Weyl semimetal (WSM)-insulator quantum-critical point. But, a metallic phase sets in through a quantum phase transition (QPT) at strong disorder across a multicritical point. The field-theoretic predictions for the correlation length exponent v = 2 and dynamic scaling exponent z = 5/4 at this multicritical point are in good agreement with the ones extracted numerically, yielding v = 1.98 +/- 0.10 and z = 1.26 +/- 0.05, from the scaling of the average density of states (DOS). Deep inside the WSM phase, generic disorder is also an irrelevant perturbation, while a metallic phase appears at strong disorder through a QPT. We here demonstrate that in the presence of generic but strong disorder, the WSM-metal QPT is ultimately always characterized by the exponents v = 1 and z = 3/2 (to one-loop order), originating from intranode or chiral-symmetric (e.g., regular and axial potential) disorder. We here anchor such emergent chiral super-universality through complementary renormalization-group calculations, controlled via. expansions, and numerical analysis of average DOS across WSM-metal QPT. In addition, we also discuss a subsequent QPT (at even stronger disorder) of a Weyl metal into an Anderson insulator by numerically computing the typical DOS at zero energy. The scaling behavior of various physical observables, such as residue of quasiparticle pole, dynamic conductivity, specific heat, Gruneisen ratio, inside various phases as well as across various QPTs in the global phase diagram of a dirty Weyl liquid, are discussed.

Place, publisher, year, edition, pages
2018. Vol. 8, no 3, article id 031076
Keywords [en]
Topological phases of matter, Weyl semimetal, Lattice models in condensed matter, Renormalization group
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-161067DOI: 10.1103/PhysRevX.8.031076ISI: 000445057800002OAI: oai:DiVA.org:su-161067DiVA, id: diva2:1260275
Available from: 2018-11-01 Created: 2018-11-01 Last updated: 2018-11-01Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Juričić, Vladimir
By organisation
Nordic Institute for Theoretical Physics (Nordita)
In the same journal
Physical Review X
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 8 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf