Dynamical Spectral Weight Transfer in the Orbital HK Model

TL;DR

This paper calculates the low-energy spectral weight in the orbital HK model, revealing universal behavior that supports its use as an effective simulator for Hubbard physics.

Contribution

It explicitly computes the LESW in the orbital HK model and demonstrates its universal slope, independent of the number of orbitals, confirming its effectiveness as a Hubbard model simulator.

Findings

The LESW has a universal slope regardless of orbital number.

The OHK model converges rapidly to the Hubbard model.

OHK effectively simulates Hubbard physics.

Abstract

We compute explicitly the low-energy spectral weight (LESW) in the lower Hubbard band using the orbital Hatsugai-Kohmoto (OHK) model. We show that the dynamical mixing enters the LESW with a universal slope independent of the number of orbitals. This independence on orbital number corroborates the rapid convergence of the OHK model to the Hubbard model. As a result, OHK is an effective simulator of Hubbard physics.