Interplay of Correlation, Randomness and Dimensionality Effects in Weakly-Coupled Half-Filled Random Hubbard Chains

TL;DR

This paper investigates how electronic correlation, randomness, and dimensionality influence the phases of weakly-coupled half-filled random Hubbard chains using a two-loop renormalization-group approach.

Contribution

It provides a detailed phase diagram analysis considering the combined effects of correlation, disorder, and interchain coupling in Hubbard chains.

Findings

Phase diagrams showing different regimes based on temperature and interaction strengths.

Identification of conditions leading to various electronic phases.

Insights into the interplay of randomness and correlation in low-dimensional systems.

Abstract

We study interplay of electronic correlation, randomness and dimensionality effects in half-filled random Hubbard chains weakly coupled via an interchain one-particle hopping. Based on the two-loop renormalization-group approach, phase diagrams are given in terms of temperature vs. strengths of the intrachain electron-electron umklapp scattering, the random scattering and the interchain one-particle hopping.