Quasicrystalline Spin Liquid
arXiv:2402.07971 · doi:10.1103/PhysRevB.110.214438
Abstract
The interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum interference effects that can drive localization phenomena. Quasicrystals, which are neither disordered nor perfectly crystalline, are interesting playgrounds for studying the effects of interaction, frustration, and quantum interference. Here we consider a solvable example of a quantum spin liquid on a tri-coordinated quasicrystal. We extend Kitaev's original construction for the spin model to our quasicrystalline setting and perform a large scale flux-sampling to find the ground-state configuration in terms of the emergent majorana fermions and flux excitations. This reveals a fully gapped and time-reversal symmetric quantum spin liquid, regardless of the exchange anisotropies, accompanied by a tendency towards non-trivial (de-)localization at the edge and the bulk. The advent of moiré materials and a variety of quantum simulators provide a new platform to bring phases of quasicrystalline quantum matter to life in a controlled fashion.
8 pages, 11 figures. Supplementary material: 1 pages, 1 figure
References in corpus (37)
- Anyons in an exactly solved model and beyond
- Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
- Topological phase transition in non-Hermitian quasicrystals
- An exact chiral spin liquid with non-Abelian anyons
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
- Topological phases without crystalline counterparts
- Disorder in a quantum spin liquid: flux binding and local moment formation
- Algebraic spin liquid in an exactly solvable spin model
- Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
- 30-twisted bilayer graphene quasicrystals from chemical vapor deposition
- Interlayer Decoupling in 30° Twisted Bilayer Graphene Quasicrystal
- Physical solutions of the Kitaev honeycomb model
- A -matrix generalization of the Kitaev model
- Topological models in rotationally symmetric quasicrystals
- Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
- Vacancy-induced low-energy density of states in the Kitaev spin liquid
- Topological states in quasicrystals
- Hofstadter butterfly of a quasicrystal
- Disorder-induced Majorana metal in interacting non-Abelian anyon systems
- Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
- Penrose Quantum Antiferromagnet
- Realization of quasicrystalline quadrupole topological insulators in electrical circuits
- Thermodynamic and Transport Properties in Disordered Kitaev Models
- Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
- Fractionalization and topology in amorphous electronic solids
- Ground state of a two dimensional quasiperiodic antiferromagnet
- Nature of Protected Zero Energy States in Penrose Quasicrystals
- An Exact Chiral Amorphous Spin Liquid
- Length scale formation in the Landau levels of quasicrystals
- Classical Dimers on Penrose Tilings
- Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
- Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
- A Kitaev-type spin liquid on a quasicrystal
- Reflection Positivity for Majoranas
- Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
- Vortex Loops and Majoranas