Effect of a Chern-Simons term on dynamical gap generation in graphene

Carrington, M. E.

doi:10.1103/physrevb.99.115432

Cited by 12 publications

(6 citation statements)

References 26 publications

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“…In order to address the issue of chiral symmetry and parity breaking, in Ref. [35] a robust truncation of the SDE was incorporated. To this end, the possibility of Fermi velocity renormalization by splitting the fermion momentum P = (p 0 , p) into its temporal p 0 and spatial p components such that the propagator reads…”

Section: Chiral Symmetry Breaking With a Chern-simons Termmentioning

confidence: 99%

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Non-perturbative field theoretical aspects of graphene and related systems

Olivares

Mizher²,

Raya

2022

Rev. Mex. Fís.

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In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to move on a 2D manifold, the effective theory of such systems becomes a non-local version of quantum electrodynamics (QED) dubbed in literature pseudo or reduced QED. We review some aspects of the theory assuming the coupling arbitrary in strength. In particular, we focus on the chiral symmetry breaking scenarios and the analytical structure of the fermion propagator in vacuum and under the influence of external agents like a heat bath, in the presence of a Chern-Simons term, anisotropy and in curved space. We briefly discuss the major advances and some new results on this field.

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Section: Chiral Symmetry Breaking With a Chern-simons Termmentioning

confidence: 99%

“…In Refs. [35][36][37] the dynamical mass generation was studied in RQED and PQED coupled to a Chern-Simons term. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative field theoretical aspects of graphene and related systems

Olivares

Mizher²,

Raya

2022

Rev. Mex. Fís.

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“…A renormalization group was also applied to investigate the gap in materials like diselenide (WSe 2 ) and molybdenumm disulfide (MoS 2 ) [36]. Aspects of the Chern-Simons theory, which is intimately related to PQED, were explored in [37][38][39][40]. Other aspects of the theory, like anisotropy in strained graphene [41], RQED in curved space [42], and supersymmetric PQED [43] were analyzed.…”

Section: Introductionmentioning

confidence: 99%

Fried-Yennie Gauge in Pseudo-QED

Mizher,

Raya,

Raya

2024

Entropy

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The Fried-Yennie gauge is a covariant gauge for which the mass-shell renormalization procedure can be performed without introducing spurious infrared divergences to the theory. It is usually applied in calculations in regular Quantum Electrodynamics (QED), but it is particularly interesting when employed in the framework of pseudo-QED (PQED), where fermions are constrained to 2 + 1 dimensions while the dynamical fields interacting with these fermions live in the bulk of a 3 + 1 space. In this context, the gauge parameter can be adjusted to match the power of the external momentum in the denominator of the photon propagator, simplifying the infrared region without the need for a photon mass. In this work, we apply this machinery, for the first time, to PQED, generalizing the procedure to calculate the self energy in arbitrary dimensions, allowing, of course, for different dimensionalities of fermions and gauge fields.

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“…For the sake of completeness, we would like to mention that DCSB has also been considered in RQED at finite temperature and in the presence of a Chern-Simons term. Parity violating solutions to the gap equation have also been explored in [43] in connection with the presence of a Chern-Simons term. This term plays the role of an effective dielectric constant, hence having potential experimental realization in graphene related materials.…”

Section: Introductionmentioning

confidence: 99%