Spin Dynamics of t-J Model on Triangular Lattice

TL;DR

This paper investigates the spin dynamics of the t-J model on a triangular lattice, revealing a resonant peak in the spin susceptibility in the superconducting state, and discusses how lattice geometry helps distinguish different theoretical interpretations.

Contribution

It provides new insights into the spin excitations of the t-J model on a triangular lattice and explores how geometric frustration affects the interpretation of resonant peaks.

Findings

Resonant peak in spin susceptibility in superconducting state

Geometric frustration helps differentiate theoretical models

Resonant peak observed for both hole and electron doping

Abstract

We study the spin dynamics of t-J model on triangular lattice in the Slave-Boson-RPA scheme in light of the newly discovered superconductor Na$_{x}$CoO$_{2}$. We find resonant peak in the dynamic spin susceptibility in the $d+id^{^{\prime}}$-wave superconducting state for both hole and electron doping in large doping range. We find the geometrical frustration inherent of the triangular lattice provide us a unique opportunity to discriminate the SO(5) and RPA-like intepretation of the origin of the resonant peak.