Sublattice polarization from destructive interference on common lattices

TL;DR

This paper demonstrates that sublattice-polarized states are common across various lattices, explained by destructive interference and symmetry considerations, with implications for interaction-driven phases.

Contribution

It introduces a systematic destructive-interference framework for understanding sublattice polarization on common lattices, including robustness and generalizations.

Findings

Sublattice-polarized states are ubiquitous on common lattices.

Destructive interference explains the emergence of SLPSs.

SLPSs are robust against further-neighbor hoppings.

Abstract

We show that sublattice-polarized states (SLPSs) appear ubiquitously on the common lattices. We first establish the destructive-interference (DI) scenario for the SLPSs, which is systematized by a point-group-symmetry interpretation. The examples on common one-, two-, and three-dimensional lattices are then demonstrated. We also deduce the symmetry-protected robustness of SLPSs against further-neighbor hoppings. Moreover, the DI scenario can be generalized to the multi-SLP. The important effects on interaction-driven phases are studied by Hartree-Fock analysis.