Electronic spectrum and superconductivity in the $t$-$J$ model on the honeycomb lattice

TL;DR

This paper develops a microscopic theory for electronic spectra and superconductivity in the $t$-$J$ model on a honeycomb lattice, using Green functions and self-consistent approximations to explore pairing mechanisms.

Contribution

It formulates a detailed theoretical framework for superconductivity in the $t$-$J$ model on honeycomb lattices, incorporating Green functions and spin fluctuation interactions.

Findings

Derived Dyson equations for Green functions in the two-band model.

Evaluated self-energy using the self-consistent Born approximation.

Discussed superconducting pairing mediated by antiferromagnetic exchange.

Abstract

A microscopic theory of electronic spectrum and superconductivity within the $t$-$J$ model on the honeycomb lattice is formulated. The Dyson equation for the normal and anomalous Green functions for the two-band model in terms of the Hubbard operators is derived by applying the Mori-type projection technique. The self-energy is evaluated in the self-consistent Born approximation for electron scattering on spin and charge fluctuations induced by the kinematical interaction for the Hubbard operators. Superconducting pairing mediated by the antiferromagnetic exchange and spin fluctuations is discussed.