# Multi-orbital tight binding model for cavity-polariton lattices

## TL;DR

This paper introduces a minimal parameter tight-binding model for exciton-polariton lattices that accurately reproduces experimental band structures, highlighting effects of non-orthogonality, interactions, and spin-orbit coupling.

## Contribution

The paper develops a novel tight-binding model based on non-orthogonal orbitals to describe polariton lattice band structures with high fidelity.

## Key findings

- Model accurately reproduces experimental band structures.
- Non-orthogonality and interactions significantly influence polarization and dispersion.
- Spin-orbit coupling affects bulk and edge state properties.

## Abstract

In this work we present a tight-binding model that allows to describe with a minimal amount of parameters the band structure of exciton-polariton lattices. This model based on $s$ and $p$ non-orthogonal photonic orbitals faithfully reproduces experimental results reported for polariton graphene ribbons. We analyze in particular the influence of the non-orthogonality, the inter-orbitals interaction and the photonic spin-orbit coupling on the polarization and dispersion of bulk bands and edge states.