In this thesis, we present theoretical analysis of Fermi liquid theory for Hubbard model on a triangular lattice. In particular, the wavefunction and Landau parameters for the system are calculated and analyzed.

We start with calculations of the wavefunction and Landau parameters in perturbation theory, both numerically and analytically (for some special cases). The calculation will then be promoted to a variation calculation by modifying the coefficients in the perturbed wavefunction in the perturbation theory. Numerical results for the wavefunction and Landau parameters will be presented.

Comparisons between perturbation and variation calculations will be carried out in different scenario, for example, different spatial direction so as to predict the general features of vari...[ Read more ]

In this thesis, we present theoretical analysis of Fermi liquid theory for Hubbard model on a triangular lattice. In particular, the wavefunction and Landau parameters for the system are calculated and analyzed.

We start with calculations of the wavefunction and Landau parameters in perturbation theory, both numerically and analytically (for some special cases). The calculation will then be promoted to a variation calculation by modifying the coefficients in the perturbed wavefunction in the perturbation theory. Numerical results for the wavefunction and Landau parameters will be presented.

Comparisons between perturbation and variation calculations will be carried out in different scenario, for example, different spatial direction so as to predict the general features of variation refinement of the problem given above.