Excitonic pairing between nodal fermions

TL;DR

This paper investigates excitonic pairing in nodal fermion systems with vanishing density of states, analyzing the critical interaction strength, phase transitions, and unique pairing properties of these strongly correlated systems.

Contribution

It provides a detailed analysis of excitonic pairing mechanisms, critical interaction thresholds, and phase behavior in nodal fermion systems with long-range interactions.

Findings

Identified critical interaction strengths for excitonic pairing

Analyzed phase transitions in nodal fermion systems

Characterized the pairing properties of strongly correlated 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.