Abstract
A method based on Rayleigh-Schrödinger perturbation theory is developed that allows to obtain high-order series expansions for ground-state properties of quantum lattice models. The approach is capable of treating both lattice geometries of large spatial dimensionalities and on-site degrees of freedom with large state space dimensionalities. It has recently been used to accurately compute the zero-temperature phase diagram of the Bose-Hubbard model on a hypercubic lattice, up to arbitrary large filling and for , 3, and greater [Teichmann et al., Phys. Rev. B 79, 100503(R) (2009)].
- Received 14 November 2008
DOI:https://doi.org/10.1103/PhysRevB.79.195131
©2009 American Physical Society