Optical observation of quasiperiodic Heisenberg antiferromagnets in two dimensions

Abstract

We calculate magnetic Raman spectra of Heisenberg antiferromagnets on the two-dimensional Penrose lattice. We follow the Shastry-Shraiman formulation of Raman scattering in a strongly correlated Hubbard system and obtain the second- and fourth-order effective Raman operators. The second-order Raman intensity comes from the E2 mode, and it is invariant under an arbitrary rotation of polarization vectors. The fourth-order Raman intensities consist of A1 and A2, as well as E2, modes and therefore yield strong polarization dependence. In particular, the A2 mode intensity directly detects the dynamical spin-chirality fluctuations. Employing linearly and circularly polarized lights, we can separately extract every irreducible representation from the observations. We further discuss effects of magnon-magnon interactions on the magnetic Raman scattering. Our theory provides a reasonable explanation for the two-magnon scattering process.

7 pages, 5 figures

References in corpus (5)

• Quantum critical state in a magnetic quasicrystal
• Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
• Critical eigenstates and their properties in one and two dimensional quasicrystals
• How to detect weak emergent broken-symmetries of the Kagome antiferromagnet from Raman spectroscopy
• Spin waves and local magnetizations on the Penrose tiling

Cited by in corpus (5)

• Monte Carlo study on critical exponents of the classical Heisenberg model in ferromagnetic icosahedral quasicrystal
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
• Polarized Raman Response of Two-Dimensional Quasiperiodic Antiferromagnets: Configuration-Interaction versus Green's Function Approaches
• Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism