A Renormalization Group Approach for Highly Anisotropic Fermion systems

Abstract

I apply a two-step density-matrix renormalization group method to the anisotropic two-dimensional tight-binding model. This study, which is a prelude to the study of models of quasi-one dimensional materials, shows the potential power of this approach for anisotropic fermionic models. I find a ground-state energy which agrees with the exact value up to four digits for systems as large as $24\times 25$. This open new opportunities for simulations of fermions in two dimensions.

4 pages, 2 figures

References in corpus (2)

• Density matrix renormalization group algorithms with a single center site
• Triplet superconducting pairing and density-wave instabilities in organic conductors