We perform an exact renormalization group analysis of a fermionic system on a three-dimensional lattice, showing the persistence of the Weyl semimetallic phase up the quantum critical point discriminating between the semimetallic and insulating phases. The interaction produces finite modifications of the anisotropic Fermi velocity and of the overlap of the true (dressed) quasiparticle with the free electron wave function. The optical conductivity is the one of Weyl fermions with anisotropic Fermi velocities replacing the light velocity, provided that the frequencies are below a certain energy scale, which is vanishing at the quantum critical point; above such scale, a different behavior is found, dominated by the quadratic corrections to the dispersion relation.

Interacting Weyl semimetals on a lattice / V. Mastropietro. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 47:46(2014), pp. 465003.1-465003.20. [10.1088/1751-8113/47/46/465003]

Interacting Weyl semimetals on a lattice

V. Mastropietro
Primo
2014

Abstract

We perform an exact renormalization group analysis of a fermionic system on a three-dimensional lattice, showing the persistence of the Weyl semimetallic phase up the quantum critical point discriminating between the semimetallic and insulating phases. The interaction produces finite modifications of the anisotropic Fermi velocity and of the overlap of the true (dressed) quasiparticle with the free electron wave function. The optical conductivity is the one of Weyl fermions with anisotropic Fermi velocities replacing the light velocity, provided that the frequencies are below a certain energy scale, which is vanishing at the quantum critical point; above such scale, a different behavior is found, dominated by the quadratic corrections to the dispersion relation.
conductivity; interactions; renormalization group; Weyl semimetals
Settore MAT/07 - Fisica Matematica
Article (author)
File in questo prodotto:
File Dimensione Formato  
1751-8121_47_46_465003.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 334.31 kB
Formato Adobe PDF
334.31 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/249399
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 8
social impact