Ideal flat and resolved SU(3) Landau levels in three dimensions

Abstract

Landau levels (LLs) are of great importance for understanding the quantum Hall effect and associated many-body physics. Recently, their three-dimensional (3D) counterparts, i.e., dispersionless 3D LLs with well-defined quantum numbers, have attracted significant attention but have not yet been reported. Here we theoretically propose and experimentally observe 3D LLs with a sharply quantized spectrum in a diamond acoustic lattice, where the eigenstates are characterized by SU(3) quantum numbers. The engineered inhomogeneous hopping strengths not only introduce pseudomagnetic fields that quantize the nodal lines into LLs but also provide three bosonic degrees of freedom, embedding a generic SU(3) symmetry into the LLs. Using a phased array of acoustic sources, we selectively excite distinct eigenstates within the degenerate LL multiplets and visualize their 3D eigenmodes. Importantly, our approach enables the precise reconstruction of SU(3) quantum numbers directly from eigenmode correlations. Our results establish SU(3) LLs as a tractable model in artificial platforms, and pave the way for synthesizing LLs with zero dispersion and countable quantum numbers in arbitrary dimensions.

6 pages, 4 figures

References in corpus (38)

• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Topological nodal semimetals
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• A Four Dimensional Generalization of the Quantum Hall Effect
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Spin and valley quantum Hall ferromagnetism in graphene
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• Synthetic Landau levels for photons
• Observation of Laughlin states made of light
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Observation of acoustic Landau quantization and quantum-Hall-like edge states
• Quantum Simulating Nature's Fundamental Fields
• Hofstadter butterfly and integer quantum Hall effect in three dimensions
• Theory of the Three Dimensional Quantum Hall Effect in Graphite
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices
• Theory for the Charge-Density-Wave Mechanism of 3D Quantum Hall Effect
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• Coherent control of quantum topological states of light in Fock-state lattices
• 3D Quantum Hall Effect Manipulated by Chiral Landau Levels in Weyl Semimetals
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Realization of fractional quantum Hall state with interacting photons
• Topological phases of quantized light
• Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Realization of all-band-flat photonic lattices
• High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels
• Gapless layered three-dimensional fractional quantum Hall states
• Strain-induced Landau Levels in arbitrary dimensions with an exact spectrum
• SU(3) Quantum Hall Ferromagnetism in SnTe
• Completely flat bands and fully localized states on surfaces of anisotropic diamond-lattice models
• Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
• Isotropic Landau levels of Dirac fermions in high dimensions
• Magic momenta and three dimensional Landau levels from a three dimensional graphite moiré superlattice
• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction