A Renormalization Group Approach for Highly Anisotropic Fermion systems

TL;DR

This paper demonstrates a two-step density-matrix renormalization group method for anisotropic 2D fermion systems, achieving high accuracy in ground-state energy calculations and opening new avenues for simulating quasi-one-dimensional materials.

Contribution

It introduces a novel two-step DMRG approach tailored for anisotropic fermionic models, showing high accuracy and scalability for large systems.

Findings

Ground-state energy matches exact values up to four digits for 24x25 systems.

The method shows promise for simulating quasi-one-dimensional fermionic materials.

Opens new possibilities for two-dimensional fermion simulations.

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.