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arXiv · 1607.03137

Magnetic Catalysis in Graphene Effective Field Theory

Carleton DeTar·Christopher Winterowd·Savvas Zafeiropoulos
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Abstract

We report on the first observation of magnetic catalysis at zero temperature in a fully nonperturbative simulation of the graphene effective field theory. Using lattice gauge theory, a nonperturbative analysis of the theory of strongly-interacting, massless, (2+1)-dimensional Dirac fermions in the presence of an external magnetic field is performed. We show that in the zero-temperature limit, a nonzero value for the chiral condensate is obtained which signals the spontaneous breaking of chiral symmetry. This result implies a nonzero value for the dynamical mass of the Dirac quasiparticle. This in turn has been posited to account for the quantum-Hall plateaus that are observed at large magnetic fields.

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Carleton DeTar, Christopher Winterowd, Savvas Zafeiropoulos. 2016-08-02. Magnetic Catalysis in Graphene Effective Field Theory. https://doi.org/10.1103/physrevlett.117.266802

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