One-Particle vs. Two-Particle Crossover in Weakly Coupled Hubbard Chains and Ladders: Perturbative Renormalization Group Approach

TL;DR

This paper investigates how weakly coupled Hubbard chains and ladders undergo dimensional crossovers, revealing that their differences stem from distinct universality classes identified via a perturbative renormalization-group approach.

Contribution

It provides a comparative analysis of one-particle versus two-particle crossover mechanisms in Hubbard systems using perturbative renormalization-group methods.

Findings

Different universality classes for chains and ladders.

Dimensional crossover behavior depends on the type of particle interactions.

Perturbative RG clarifies the physical nature of these crossovers.

Abstract

Physical nature of dimensional crossovers in weakly coupled Hubbard chains and ladders has been discussed within the framework of the perturbative renormalization-group approach. The difference between these two cases originates from different universality classes which the corresponding isolated systems belong to.