Local renormalization method for random systems

TL;DR

This paper introduces a novel real-space renormalization method combining SDRT and CORE techniques to analyze 2D random spin systems, demonstrated on the random transverse field Ising model.

Contribution

It presents a new renormalization approach specifically designed for 2D random systems, merging existing techniques for improved analysis.

Findings

Effective analysis of 2D RTFIM

Combines SDRT and CORE methods

Provides a new tool for random system studies

Abstract

In this paper, we introduce a real-space renormalization transformation for random spin systems on 2D lattices. The general method is formulated for random systems and results from merging two well known real space renormalization techniques, namely the strong disorder renormalization technique (SDRT) and the contractor renormalization (CORE). We analyze the performance of the method on the 2D random transverse field Ising model (RTFIM).