Spectral weights of doublon in interacting Hofstadter model

TL;DR

This paper investigates the spectral properties of doublons in the interacting Hofstadter model by computing two-particle Green's functions, revealing how interactions and magnetic fields influence spectral weights.

Contribution

It provides the first detailed analysis of doublon spectral weights in the Hofstadter model with varying interactions and magnetic fields, using finite lattice calculations.

Findings

Spectral weights of doublons depend on interaction strength.

Magnetic field causes splitting in the spectral spectra.

Comparison between non-interacting and interacting pairs shows distinct spectral features.

Abstract

In this article, two-particle Greens functions are computed for different strengths of interactions for particles in Hofstadter lattices, providing informations on spectral weights of doublons. The calculations are performed for a finite lattice without disorder. The splitting in spectra under the effect of external magnetic field for non-interacting and interacting pairs are compared.