Adiabatic connection between the RVB State and the ground state of the half filled periodic Anderson model

TL;DR

This paper demonstrates that the ground state of the half-filled periodic Anderson model can be adiabatically connected to the RVB state without closing the excitation gap, using a one-parameter interpolating model.

Contribution

It introduces a one-parameter family of models interpolating between the periodic Anderson model and the RVB state, showing their adiabatic connection.

Findings

The excitation gap remains finite during interpolation.

The ground states of the two models are adiabatically connected.

Numerical evidence supports the continuous evolution of the ground state.

Abstract

A one-parameter family of models that interpolates between the periodic Anderson model with infinite repulsion at half-filling and a model whose ground state is exactly the Resonating-Valence-Bond state is studied. It is shown numerically that the excitation gap does not collapse. Therefore the ground states of the two models are adiabatically connected.