Magnetic properties of the two-dimensional Heisenberg model on a triangular lattice

Abstract

The spin Green's function of the antiferromagnetic Heisenberg model on a triangular lattice is calculated using Mori's projection operator technique. At T=0 the spin excitation spectrum is shown to have gaps at the wave vectors of the classical Neel ordering. This points to the absence of the antiferromagnetic long-range order in the ground state. The calculated spin correlation on the neighboring sites of the same sublattice is in good agreement with the value derived from exact diagonalization. The temperature dependencies of the spin correlations and the gaps are calculated.

5 pages, 3 figures

References in corpus (4)

• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• An Electronic Model for $Co{O}_2$ layer based systems: Chiral RVB metal and Superconductivity
• ARPES on Na${}_{0.6}$CoO${}_2$: Fermi surface, extended flat dispersion, and unusual band splitting
• Giant electron-electron scattering in the Fermi-liquid state of Na_0.7CoO_2

Cited by in corpus (2)

• Magnetic phase diagram of the spin-1 two-dimensional J1-J3 Heisenberg model on a triangular lattice
• The spin-1 two-dimensional J1-J2 Heisenberg antiferromagnet on a triangular lattice