Fragile magnetic order in metallic quasicrystals
arXiv:2312.10192 · doi:10.1103/PhysRevB.110.165131
Abstract
Inspired by recent experimental studies of local magnetic moments interacting with a metallic quasicrystal, we study the low-temperature fate of spins placed in two-dimensional tilings. In the diluted local moment limit, we calculate the spin relaxation rate , as measured by electron spin resonance, and show that it displays a marked dependence on the system size and the filing of the electronic bath. For a finite concentration of spins, we integrate out the conduction electrons and generate an effective magnetic coupling between the local moments, which we treat as Ising spins. Despite the strongly frustrating nature of the magnetic couplings and the lack of periodicity in the problem, we find long-range orders for finite in our large-scale Monte Carlo simulations. However, the resulting magnetically state is fragile, as clusters of essentially free spins fluctuate down to very low temperatures.
arXiv comment13 pages, 16 figures. Published version
References in corpus (41)
- Exchange Monte Carlo Method and Application to Spin Glass Simulations
- The Kernel Polynomial Method
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Design and characterization of electronic fractals
- Quasicrystalline 30° Twisted Bilayer Graphene as an Incommensurate Superlattice with Strong Interlayer Coupling
- Quantum critical state in a magnetic quasicrystal
- Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
- Matter-wave diffraction from a quasicrystalline optical lattice
- Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
- Real-space calculation of the conductivity tensor for disordered topological matter
- Quantum Antiferromagnetism in Quasicrystals
- Superconductivity on a Quasiperiodic Lattice: Extended-to-Localized Crossover of Cooper Pairs
- Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
- Conventional superconductivity in quasicrystals
- Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
- Exotic pairing state in quasicrystalline superconductors under magnetic field
- Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
- Long-range Magnetic Order in Models for Rare Earth Quasicrystals
- Valence Fluctuations and Electric Reconstruction in the Extended Anderson Model on the Two-Dimensional Penrose Lattice
- RKKY Interaction in Disordered Graphene
- Magnetic and transport properties of i--Cd icosahedral quasicrystals ( = Y, Gd-Tm)
- Magnetic orders induced by RKKY interaction in Tsai-type quasicrystalline approximant Au-Al-Gd
- Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
- Magnetism in Rare Earth Quasicrystals: RKKY Interactions and Ordering
- Anderson-Kitaev spin liquid
- Mean-field study of the Bose-Hubbard model in Penrose lattice
- Energy levels and their correlations in quasicrystals
- Partial lifting of degeneracy in the Ising antiferromagnet on the kagome lattice
- Superconducting proximity effect and order parameter fluctuations in disordered and quasiperiodic systems
- Magnetic Correlations in a Periodic Anderson Model with Non-Uniform Conduction Electron Coordination
- Quasicrystalline Weyl points and dense Fermi-Bragg arcs
- Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet
- The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
- High-temperature expansion for Ising models on quasiperiodic tilings
- Correlated partial disorder in a weakly frustrated quantum antiferromagnet
- Dynamic magnetism in the disordered hexagonal double perovskite BaTiMnO
- Properties of the Ammann-Beenker tiling and its square approximants
- Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
- The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
- Partial magnetic order in kagome spin ice
- Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance