Non-ergodic one-magnon magnetization dynamics of the kagome lattice antiferromagnet
arXiv:2507.05009 · doi:10.1515/zna-2025-0249
Abstract
The present view of modern physics on non-equilibrium dynamics is that generic systems equilibrate or thermalize under rather general conditions, even closed systems under unitary time evolution. The investigation of exceptions thus not only appears attractive, in view of quantum computing where thermalization is a threat it also seems to be necessary. Here, we present aspects of the one-magnon dynamics on the kagome lattice antiferromagnet as an example of a non-equilibrating dynamics due to flat bands. Similar to the one-dimensional delta chain localized eigenstates also called localized magnons lead to disorder-free localization and prevent the system from equilibration.
arXiv comment12 pages, 15 figures
References in corpus (35)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Generalized Gibbs ensemble in integrable lattice models
- Artificial flat band systems: from lattice models to experiments
- Topological Flat Band Models and Fractional Chern Insulators
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
- Exact low-temperature behavior of kagome antiferromagnet at high fields
- Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems
- Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
- Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
- Equilibration of isolated macroscopic quantum systems
- Independent magnon states on magnetic polytopes
- Flat-Band Ferromagnetism as a Pauli-Correlated Percolation Problem
- Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
- Quantum Topological Excitations: from the Sawtooth Lattice to the Heisenberg Chain
- Magnon crystallization in the kagome lattice antiferromagnet
- Linear independence of localized magnon states
- Statistical Properties of Fermionic Molecular Dynamics
- Intrinsic decoherence in isolated quantum systems
- Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
- Persistence of the flat band in a kagome magnet with dipolar interactions
- Non-ergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain
- Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
- Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
- Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
- Low-energy states for correlated-electron models in the strong-coupling limit
- Unconventional spin transport in strongly correlated kagome systems