Quantum Criticality and Superconductivity in Quasi-Two-Dimensional Dirac Electronic Systems

Abstract

We present a theory describing the superconducting (SC) interaction of Dirac electrons in a quasi-two-dimensional system consisting of a stack of N planes. The occurrence of a SC phase is investigated both at T=0 and T\neq 0, in the case of a local interaction, when the theory must be renormalized and also in the situation where a natural physical cutoff is present in the system. In both cases, at T=0, we find a quantum phase transition connecting the normal and SC phases at a certain critical coupling. The phase structure is shown to be robust against quantum fluctuations. The SC gap is determined for T=0 and T\neq 0, both with and without a physical cutoff and the interplay between the gap and the SC order parameter is discussed. Our theory qualitatively reproduces the SC phase transition occurring in the underdoped regime of the high-Tc cuprates. This fact points to the possible relevance of Dirac electrons in the mechanism of high-Tc superconductivity.

To be published in Nuclear Physics, Section B. 24 pages, 4 figures

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Cited by in corpus (29)

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• BCS superconductivity of Dirac electrons in graphene layers
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• Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Possible high-temperature superconductivity in multilayer graphane: can the cuprates be beaten?
• The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Supercurrent in superconducting graphene
• Superconducting and excitonic quantum phase transitions in doped systems with Dirac electrons
• Asymmetric superconductivity in metallic systems
• Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• The Kohn-Luttinger superconductivity in idealized doped graphene
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure
• Finite Temperature Phase Diagram of Quasi-Two-Dimensional Imbalanced Fermi Gases Beyond Mean-Field
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• A quantum critical superconducting phase transition in quasi-two-dimensional systems with Dirac electrons
• Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
• Superconductivity in graphene stacks: from the bilayer to graphite
• Competing effective interactions of Dirac electrons in the Spin-Fermion system
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Effective Potential for Emergent Majorana Fermions in Superconductor Systems
• Determination of Gap Solution and Critical Temperature in Doped Graphene Superconductivity
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• The Superconducting and Pseudogap Phase Diagram of High-Tc Cuprates
• Orbital Order, Superconductivity, Pseudogap and Spectral Weight in High-Tc Cuprates