Magnetism of the Bilayer Wigner Crystal
arXiv:2408.12701 · doi:10.1103/PhysRevB.111.075159
Abstract
The multiple-spin exchange frequencies of the bilayer Wigner crystal are determined by the semiclassical method, which is asymptotically exact in the limit of dilute electron densities. The evolution of the exchange frequencies with interlayer distance -- as the crystal undergoes a sequence of structural transitions -- leads to both ferromagnetic and multi-sublattice antiferromagnetic phases. Extrapolation of the results to higher density suggests a rich magnetic phase diagram of the bilayer Wigner crystal, including the possibility of spin-nematic and valence-bond solid phases. The bilayer crystal is stable to higher electron densities than the monolayer, leading to enhanced magnetic energy scales. Our estimates of the exchange energies suggest some of the magnetic phases may be accessible in recently discovered bilayer Wigner crystals in a transition-metal dichalcogenide system.
arXiv comment12 pages, 17 figures
References in corpus (26)
- Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
- Correlation energy and spin polarization in the 2D electron gas
- Unusual ordered phases of highly frustrated magnets: a review
- Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
- Observation of Wigner crystal of electrons in a monolayer semiconductor
- Deep moiré potentials in twisted transition metal dichalcogenide bilayers
- Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
- Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
- Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
- Stability, dynamical properties and melting of a classical bi-layer Wigner Crystal
- Wigner Glass, Spin-liquids, and the Metal-Insulator Transition
- Kinetic Magnetism in Triangular Moiré Materials
- Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
- Exchange Frequencies in the 2d Wigner crystal
- Wigner Crystals Phases in Bilayer Quantum Hall Systems
- Quantum Phase Transitions around the Staggered Valence Bond Solid
- Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
- Example of a first-order Néel to Valence-Bond-Solid transition in two-dimensions
- Spin nematic order in multiple-spin exchange models on the triangular lattice
- Critical phenomena and phase sequence in classical bilayer Wigner crystal at zero temperature
- Wigner crystallization in quantum electron bilayers
- Ground state phases of the two-dimension electron gas with a unified variational approach
- Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
- Interstitial-induced ferromagnetism in a two-dimensional Wigner crystal
- Quantum Monte Carlo study of the phase diagram of the two-dimensional uniform electron liquid
- Pseudo-spin order of Wigner crystals in multi-valley electron gases