Many-Body Flatband Localization

TL;DR

This paper introduces Many-Body Flatband Localization (MBFBL), a new form of localization in translationally invariant systems with flat bands, driven by symmetries and applicable to various particle types and dimensions.

Contribution

It proposes a general method to generate MBFBL Hamiltonians, constructs explicit models in 1D and 2D, and develops local integrals of motion for these systems.

Findings

MBFBL occurs in systems with flat bands and specific symmetries.

Explicit models for bosons and fermions in 1D and 2D are provided.

An extensive set of local integrals of motion for MBFBL is constructed.

Abstract

We generate translationally invariant systems exhibiting many-body localization from All-Bands- Flat single particle lattice Hamiltonians dressed with suitable short-range many-body interactions. This phenomenon - dubbed Many-Body Flatband Localization (MBFBL) - is based on symmetries of both single particle and interaction terms in the Hamiltonian, and it holds for any interaction strength. We propose a generator of MBFBL Hamiltonians which covers both interacting bosons and fermions for arbitrary lattice dimensions, and we provide explicit examples of MBFBL models in one and two lattice dimensions. We also explicitly construct an extensive set of local integrals of motion for MBFBL models. Our results can be further generalized to long-range interactions as well as to systems lacking translational invariance.