Excitonic pairing between nodal fermions

Abstract

We study excitonic pairing in nodal fermion systems characterized by a vanishing quasiparticle density of states at the pointlike Fermi surface and a concomitant lack of screening for long-range interactions. By solving the gap equation for the excitonic order parameter, we obtain a critical value of the interaction strength for a variety of power-law interactions and densities of states. We compute the free energy and analyze possible phase transitions, thus shedding further light on the unusual pairing properties of this peculiar class of strongly correlated systems.

9 pages, 7 figures, minor revisions made, final version

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Cited by in corpus (40)

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• Excitonic gap, phase transition, and quantum Hall effect in graphene
• On electron (anti)localization in graphene
• Quantum Critical Behaviour in a Graphene-like Model
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Massive Dirac fermions in single-layer graphene
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
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• Interaction Induced Quantum Valley Hall Effect in Graphene
• Optical Response and Ground State of Graphene
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
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• Quantum-critical pairing with varying exponents
• Exciton formation in graphene bilayer
• Edge states, mass and spin gaps, and quantum Hall effect in graphene
• Excitonic condensation in a double-layer graphene system
• Superconductivity at the onset of spin-density-wave order in a metal
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Quantum-critical pairing in electron-doped cuprates
• Spontaneous spin ordering of Dirac spin liquid in a magnetic field
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Quantum phase transitions in Dirac fermion systems
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Spin-liquid model of the sharp resistivity drop in $L{a}_{1.85}B{a}_{0.125}Cu{O}_4$
• Kekule-distortion-induced Exciton instability in graphene
• BCS Superconductivity in Quantum Critical Metals
• The effect of vertex corrections on the possibility of chiral symmetry breaking, induced by long-range Coulomb repulsion in graphene
• Power law Kohn anomalies and the excitonic transition in graphene
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Coulomb interaction and semimetal-insulator transition in graphene
• Generalized dynamical mean-field theory of two-subalttice systems with non-local interactions and its application to study charge and spin correlations in graphene
• Magnetic, charge, and transport properties of graphene nanoflakes
• Density of states in the bilayer graphene with the excitonic pairing interaction
• Beth-Uhlenbeck equation for the thermodynamics of fluctuations in a generalised 2+1D Gross-Neveu model
• Criterion for dynamical chiral symmetry breaking