Lattice field theory study of magnetic catalysis in graphene

DeTar, Carleton; Winterowd, Christopher; Zafeiropoulos, Savvas

doi:10.1103/PhysRevB.95.165442

Title: Lattice field theory study of magnetic catalysis in graphene

Journal Article · Sat Apr 15 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.165442· OSTI ID:1401983

DeTar, Carleton ^[1]; Winterowd, Christopher ^[1]; Zafeiropoulos, Savvas ^[2]

Univ. of Utah, Salt Lake City, UT (United States)
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)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: PHY-1516509; PHY14-14614; AC05-06OR23177

OSTI ID:: 1401983

Alternate ID(s):: OSTI ID: 1352976

Report Number(s):: JLAB-THY-17-2576; DOE/OR/23177-4238; arXiv:1608.00666; PRBMDO; TRN: US1703232

Journal Information:: Physical Review B, Vol. 95, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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