Heat percolation in many-body flatband localizing systems

TL;DR

This paper investigates heat transport in many-body flatband systems, revealing that heat flow is suppressed in one dimension but can be enabled in higher dimensions through percolation transitions, with local constraints influencing transport behavior.

Contribution

It introduces the concept of Many-Body Flatband Localization and analyzes how heat transport depends on dimensionality and percolation in constrained lattice systems.

Findings

Heat transport is forbidden in one-dimensional flatband systems.

In higher dimensions, heat transport can be enabled by tuning filling fractions across a percolation transition.

Local constraints and edge effects influence heat flow in percolation clusters.

Abstract

Translationally invariant finetuned single-particle lattice Hamiltonians host flat bands only. Suitable short-range many-body interactions result in complete suppression of particle transport due to local constraints and Many-Body Flatband Localization. Heat can still flow between spatially locked charges. We show that heat transport is forbidden in dimension one. In higher dimensions heat transport can be unlocked by tuning filling fractions across a percolation transition for suitable lattice geometries. Transport in percolation clusters is additionally affected by effective bulk disorder and edge scattering induced by the local constraints, which work in favor of arresting the heat flow. We discuss explicit examples in one and two dimensions.