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Title: Lattice field theory study of magnetic catalysis in graphene

Abstract

We discuss the simulation of the low-energy effective field theory (EFT) for graphene in the presence of an external magnetic field. Our fully nonperturbative calculation uses methods of lattice gauge theory to study the theory using a hybrid Monte Carlo approach. We investigate the phenomenon of magnetic catalysis in the context of graphene by studying the chiral condensate which is the order parameter characterizing the spontaneous breaking of chiral symmetry. In the EFT, the symmetry breaking pattern is given by $$U(4) \to U(2) \times U(2)$$. We also comment on the difficulty, in this lattice formalism, of studying the time-reversal-odd condensate characterizing the ground state in the presence of a magnetic field. Lastly, we study the mass spectrum of the theory, in particular the Nambu-Goldstone (NG) mode as well as the Dirac quasiparticle, which is predicted to obtain a dynamical mass.

Authors:
 [1];  [1];  [2]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Johann Wolfgana Goethe Univ., Frankfurt am Main (Germany); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1401983
Alternate Identifier(s):
OSTI ID: 1352976
Report Number(s):
JLAB-THY-17-2576; DOE/OR/23177-4238; arXiv:1608.00666
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1703232
Grant/Contract Number:  
PHY-1516509; PHY14-14614; AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 16; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 36 MATERIALS SCIENCE

Citation Formats

DeTar, Carleton, Winterowd, Christopher, and Zafeiropoulos, Savvas. Lattice field theory study of magnetic catalysis in graphene. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.165442.
DeTar, Carleton, Winterowd, Christopher, & Zafeiropoulos, Savvas. Lattice field theory study of magnetic catalysis in graphene. United States. doi:10.1103/PhysRevB.95.165442.
DeTar, Carleton, Winterowd, Christopher, and Zafeiropoulos, Savvas. Sat . "Lattice field theory study of magnetic catalysis in graphene". United States. doi:10.1103/PhysRevB.95.165442. https://www.osti.gov/servlets/purl/1401983.
@article{osti_1401983,
title = {Lattice field theory study of magnetic catalysis in graphene},
author = {DeTar, Carleton and Winterowd, Christopher and Zafeiropoulos, Savvas},
abstractNote = {We discuss the simulation of the low-energy effective field theory (EFT) for graphene in the presence of an external magnetic field. Our fully nonperturbative calculation uses methods of lattice gauge theory to study the theory using a hybrid Monte Carlo approach. We investigate the phenomenon of magnetic catalysis in the context of graphene by studying the chiral condensate which is the order parameter characterizing the spontaneous breaking of chiral symmetry. In the EFT, the symmetry breaking pattern is given by $U(4) \to U(2) \times U(2)$. We also comment on the difficulty, in this lattice formalism, of studying the time-reversal-odd condensate characterizing the ground state in the presence of a magnetic field. Lastly, we study the mass spectrum of the theory, in particular the Nambu-Goldstone (NG) mode as well as the Dirac quasiparticle, which is predicted to obtain a dynamical mass.},
doi = {10.1103/PhysRevB.95.165442},
journal = {Physical Review B},
number = 16,
volume = 95,
place = {United States},
year = {2017},
month = {4}
}

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Cited by: 5 works
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Works referenced in this record:

The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004