Loop-Cluster Simulation of the $t$-$J$ Model on the Honeycomb Lattice

Details Loop-Cluster Simulation of the $t$-$J$ Model on the Honeycomb Lattice Loop-Cluster Simulation of the $t$-$J$ Model on the Honeycomb Lattice

2008-07-18

arxiv.org/abs/0807.2977v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 10 figures, 2 tables

Scientific paper

Inspired by the lattice structure of the unhydrated variant of the superconducting material Na$_x$CoO$_2 \cdot$yH$_2$O at $ x = {1/3}$, we study the $t$-$J$ model on a honeycomb lattice by using an efficient loop-cluster algorithm. The low-energy physics of the undoped system and of the single hole sector is described by a systematic low-energy effective field theory. The staggered magnetization per spin $\widetilde{{\cal M}}_s = 0.2688(3)$, the spin stiffness $\rho_s = 0.102(2) J$, the spin wave velocity $c= 1.297(16) J a$, and the kinetic mass $M'$ of a hole are obtained by fitting the numerical Monte Carlo data to the effective theory predictions.

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