Vortex and gap generation in gauge models of graphene
- Departamento de Fisica, Instituto Tecnologico de Aeronautica, 12.228-900, Sao Jose dos Campos, SP (Brazil)
- Instituto de Fisica, Universidade Federal Fluminense, 24210-3400- Niteroi - RJ (Brazil)
Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector, and fermion excitations are investigated. Different gauge groups lead to different relations between the gaps, which can be used to experimentally distinguish the gauge theories. In this class of models the fermionic gap is a dynamic quantity. The finite-energy vortex solutions of the gauge models have the flux of the ''magnetic field'' quantized, making the Bohm-Aharonov effect active even when external electromagnetic fields are absent. The flux comes proportional to the scalar field angular momentum quantum number. The zero modes of the Dirac equation show that the gauge models considered here are compatible with fractionalization.
- OSTI ID:
- 21538288
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 83, Issue 15; Other Information: DOI: 10.1103/PhysRevB.83.155419; (c) 2011 American Institute of Physics; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AHARONOV-BOHM EFFECT
ANGULAR MOMENTUM
CARBON
DIRAC EQUATION
ELECTROMAGNETIC FIELDS
EXCITATION
FERMIONS
GAUGE INVARIANCE
HONEYCOMB STRUCTURES
LAYERS
MAGNETIC FIELDS
QUANTUM FIELD THEORY
SCALAR FIELDS
SIMULATION
DIFFERENTIAL EQUATIONS
ELEMENTS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MECHANICAL STRUCTURES
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS