Superconducting pairing, and the collective magnetic excitation in the extended 2-dimensional t-J model

TL;DR

This paper analytically explores an extended 2D t-J model, revealing a complex phase diagram with various magnetic and superconducting states, and identifies a novel collective triplet excitation below the superconducting gap.

Contribution

It introduces an analytical solution for the extended 2D t-J model with additional hopping t'', uncovering new phases and a collective triplet excitation.

Findings

Rich phase diagram including AF insulator and AF strange metal

Multiple pseudospin-singlet superconducting pairings (p,d,g-waves)

Existence of a collective triplet excitation below the superconducting gap

Abstract

To investigate the non-Fermi liquid behavior we consider the extended two-dimensional t-J model which includes additional hopping t''. In the regime t,J << t'' we were able to solve the model analytically. It has a very rich phase diagram including antiferromagnetic (AF) insulator and AF strange metal with different kinds of pseudospin-singlet superconducting pairings (p,d,g-waves). We also demonstrate a collective triplet excitation with energy below the superconducting gap