Heat percolation in many-body flatband localizing systems

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.

References in corpus (51)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Exploring the many-body localization transition in two dimensions
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
• Artificial flat band systems: from lattice models to experiments
• Aharonov-Bohm cages in two-dimensional structures
• Recent advances in percolation theory and its applications
• Stability and instability towards delocalization in MBL systems
• Recent progress in many-body localization
• Stark many-body localization
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Disorder-Free Localization
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Emergence of quantum chaos in finite interacting Fermi systems
• Superconducting Nanocircuits for Topologically Protected Qubits
• Many-body localization dynamics from gauge invariance
• Interaction induced delocalisation for two particles in a periodic potential
• Many-body delocalization as a quantum avalanche
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Dynamics of many-body localisation in a translation invariant quantum glass model
• Dynamics in many-body localized quantum systems without disorder
• Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
• Preformed pairs in flat Bloch bands
• Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
• Non-ergodic metallic and insulating phases of Josephson junction chains
• Flat Band Quantum Scar
• Disorder-free localization in an interacting two-dimensional lattice gauge theory
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• Signatures of the Many-body Localized Regime in Two Dimensions
• Many-Body Flatband Localization
• Instability of many-body localized systems as a phase transition in a nonstandard thermodynamic limit
• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Signatures of many-body localisation in a system without disorder and the relation to a glass transition
• Slow many-body delocalization beyond one dimension
• Percolation in Fock space as a proxy for many-body localisation
• Nonlinear caging in All-Bands-Flat Lattices
• Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
• Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
• Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
• From compact localized states to many-body scars in the random quantum comb
• Many-body self-localization in a translation-invariant Hamiltonian
• Exact solution of a percolation analogue for the many-body localisation transition
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Percolation thresholds on 3-dimensional lattices with 3 nearest neighbors
• Heat transport in an open transverse-field Ising chain
• Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
• Square lattice site percolation thresholds for complex neighbourhoods
• Many-body localization as a percolation phenomenon
• Site and bond percolation thresholds in $K_{n,n}$-based lattices: Vulnerability of quantum annealers to random qubit and coupler failures on chimera topologies
• Site percolation on lattices with low average coordination numbers

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