Core -- a New Computational Technique for Lattice Systems

TL;DR

CORE is a new computational method combining contraction, variational, and real-space renormalization techniques, enabling efficient analysis of infinite lattice systems and their phase transitions, including systems with fermions.

Contribution

It introduces the CORE method, a novel approach that improves the analysis of lattice Hamiltonian systems by integrating multiple techniques and handling infinite systems with dynamical fermions.

Findings

Successfully applied to the 1+1-dimensional Ising model

Systematically improvable approximation method

Capable of studying phase structure and critical phenomena

Abstract

The COntractor REnormalization group (CORE) method, a new approach to solving Hamiltonian lattice systems, is introduced. The method combines contraction and variational techniques with the real-space renormalization group approach. It applies to lattice systems of infinite extent and is ideal for studying phase structure and critical phenomena. The CORE approximation is systematically improvable and can treat systems with dynamical fermions. The method is tested using the 1+1-dimensional Ising model.