Bilinear-biquadratic anisotropic Heisenberg model on a triangular lattice

Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field

Heisenberg Antiferromagnet on a Triangular Lattice

A quantum fidelity study of the anisotropic next-nearest-neighbour triangular lattice Heisenberg model.

Ground- and excited-state quantum fidelities in combination with generalized quantum fidelity susceptibilites, obtained from exact diagonalizations, are used to explore the phase diagram of the anisotropic next-nearest-neighbour triangular Heisenberg model. Specifically, the J'-J2 plane of this model, which connects the J1-J2 chain and the anisotropic triangular lattice Heisenberg model, is exp...

Spin wave analysis to the spatially-anisotropic Heisenberg antiferromagnet on triangular lattice

We study the phase diagram at T = 0 of the antiferromagnetic Heisenberg model on the triangular lattice with spatially-anisotropic interactions. For values of the anisotropy very close to Jα/Jβ = 0.5, conventional spin wave theory predicts that quantum fluctuations melt the classical structures, even for arbitrary values of S. From the limit of weakly coupled chains, Jβ << Jα, it is shown that ...

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

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 Néel ordering. This points to the absence of the antiferromagnetic long-range order in the ground state. The calculated spin correlation on the neighb...