Theory of superconductivity for Dirac electrons in graphene

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776110010073· OSTI ID:21443623

Ogarkov, S L ^[1]; Sokolik, A A ^[2]

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1. Moscow Institute of Engineering Physics (Russian Federation)
2. Russian Academy of Sciences, Institute of Spectroscopy (Russian Federation)

Phonon-exchange-induced superconducting pairing of effectively ultrarelativistic electrons in graphene is investigated. The Eliashberg equation obtained for describing pairing in the Cooper channel with allowance for delayed interaction are matrix equations with indices corresponding to the valence and conduction bands. The equations are solved in the high doping limit, in which pairing is effectively a single-band process, and in the vicinity of a critical quantum point of underdoped graphene for a value of the coupling constant for which pairing is an essentially multiband process. For such cases, analytic estimates are obtained for the superconducting transition temperature of the system. It is shown that the inclusion of dynamic effects makes it possible to determine the superconducting transition temperature, as well as the critical coupling constant for underdoped graphene, more accurately than in the static approximation of the BCS type. Estimates of the constants of electron interaction with the scalar optical phonon mode in graphene indicate that an appreciable superconducting transition temperature can be attained under a high chemical doping level of graphene.

• OSTI ID: 21443623
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 110, Issue 1; Other Information: DOI: 10.1134/S1063776110010073; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
77 NANOSCIENCE AND NANOTECHNOLOGY
APPROXIMATIONS
BCS THEORY
COUPLING CONSTANTS
ELECTRONS
GORKOV-ELIASHBERG THEORY
GRAPHITE
MATRICES
NANOSTRUCTURES
PAIRING INTERACTIONS
PHONONS
RELATIVISTIC RANGE
SCALARS
SUPERCONDUCTIVITY
TRANSITION TEMPERATURE
VALENCE
CALCULATION METHODS
CARBON
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
ELEMENTS
ENERGY RANGE
FERMIONS
INTERACTIONS
LEPTONS
MINERALS
NONMETALS
PHYSICAL PROPERTIES
QUASI PARTICLES
THERMODYNAMIC PROPERTIES