Lattice gauge theory treatment of strongly correlated Dirac semimetals

Yasufumi Araki

Research output: Contribution to journalConference articlepeer-review

Abstract

We observe the effect of Coulomb interaction in three-dimensional Dirac semimetals in the strong-coupling limit. Model of the system is constructed in terms of lattice gauge theory, with the Coulomb interaction mediated by U(1) gauge field defined on the lattice. We improve the formulation by introducing a field of positive background charge, and extrapolate our analysis to the "continuous-Time" limit, where the lattice spacing in the imaginary-Time direction reaches zero. We find that the system in the strong-coupling limit reduces to a strongly coupled repulsive Hubbard model, which favors charge neutrality for each lattice site, turning the system into a Mott insulator. We also evaluate the discretization error, to give a proper understanding of the effective model obtained by strong-coupling expansion.

Original languageEnglish
Article number046
JournalProceedings of Science
Volume14-18-July-2015
Publication statusPublished - 2015 Jan 1
Event33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan
Duration: 2015 Jul 142015 Jul 18

ASJC Scopus subject areas

  • General

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