Universität zu Köln

Zerf, Nikolai, Mihaila, Luminita N., Marquard, Peter, Herbut, Igor F. and Scherer, Michael M. ORCID: 0000-0003-0766-9949 (2017). Four-loop critical exponents for the Gross-Neveu-Yukawa models. Phys. Rev. D, 96 (9). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

Full text not available from this repository.

Abstract

We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in 4 - epsilon dimensions and compute critical exponents for the GrossNeveu- Yukawa fixed points to order O(epsilon(4)). Further, we provide Pade estimates for the correlation length exponent, the boson and fermion anomalous dimension, as well as the leading correction to scaling exponent in 2 + 1 dimensions. We also confirm the emergence of supersymmetric field theories at four loops for the chiral Ising and the chiral XY models with N = 1/4 and N = 1/2 fermions, respectively. Furthermore, applications of our results relevant to various quantum transitions in the context of Dirac and Weyl semimetals are discussed, including interaction-induced transitions in graphene and surface states of topological insulators.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zerf, Nikolai UNSPECIFIED UNSPECIFIED UNSPECIFIED Mihaila, Luminita N. UNSPECIFIED UNSPECIFIED UNSPECIFIED Marquard, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED Herbut, Igor F. UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED orcid.org/0000-0003-0766-9949 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-211287
DOI:	10.1103/PhysRevD.96.096010
Journal or Publication Title:	Phys. Rev. D
Volume:	96
Number:	9
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0029
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DISORDERED DEGENERATE SEMICONDUCTORS; CONFORMAL BOOTSTRAP CALCULATION; CRITICAL-BEHAVIOR; DIRAC FERMIONS; 1/N EXPANSION; COMPUTATION; O(1/N2) Multiple languages Astronomy & Astrophysics; Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21128