Charge asymmetry in the Heisenberg model

TL;DR

This paper introduces a novel embedding approach that integrates spin wave theory with time-dependent Hartree-Fock in the Heisenberg model, revealing charge asymmetry effects influenced by kinetic interactions.

Contribution

It generalizes the embedding method to all spin-1/2 models and highlights the importance of kinetic interaction couplings in asymmetric electronic phenomena.

Findings

Embedding reproduces pure localization from itinerant dynamics

Charge asymmetry arises from differential doublon and holon motion

Kinetic interactions are as crucial as band parameters in modeling Mott insulators

Abstract

Supplementing the Heisenberg model with a Hubbard-commuting kinetic of electrons adds to its spectrum without interference. One consequence is the precise incorporation of canonical linear spin wave theory within the time-dependent Hartree-Fock framework, as pure localization emerges from itinerant dynamics. This embedding method generalizes to all spin-1/2 models and is expected to extend to multi-orbital systems. Away from half-filling, differential tuning of doublon and holon motion imparts asymmetry to ordering and fluctuations. This suggests that, in effective electronic theories, kinetic interaction couplings are as significant as underlying band parameters when modeling asymmetric phenomena near the Mott insulator.