Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer

Abstract

Despite the intense amount of attention and huge potential of two-dimensional (2D) magnets for applications in novel magnetic, magneto-optical, magneto-thermal and magneto-electronic devices, there has yet to be a robust strategy developed to systematically understand magnon-magnon (MMI) interactions at finite temperature. In this paper, we present a first-principles theoretical method to introduce the finite temperature magnon-magnon interaction into Heisenberg Hamiltonian through a nonlinear correction energy. The Wick theorem is used to decouple the four-magnon operators to two-magnon order. We demonstrate the capabilities of this method by studying the strength of MMI in Cr2Ge2Te6 (CGT) monolayer. The spin wave spectrum at finite temperature and the time-dependent spin autocorrelation function are explored. It is found that the magnon relaxation time due to magnon-magnon scattering increases with temperature because of the reduction in magnon energy, while decreases with wavevector and external magnetic field. Our results provide a new insight to understand the magnon damping and energy dissipation in two-dimensional ferromagnetic materials.

24 pages,6 figures

References in corpus (32)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• 2D materials and van der Waals heterostructures
• Quantum-limited shot noise in graphene
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
• Electrical Manipulation of a Topological Antiferromagnetic State
• Topological Insulators on the Lieb and Perovskite Lattices
• Deterministic magnetization switching using lateral spin-orbit torque
• Thermal spin dynamics of yttrium iron garnet
• Flat Bands Under Correlated Perturbations
• Physical origin of giant excitonic and magneto-optical responses in two-dimensional ferromagnetic insulators
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• Anderson localisation in tight-binding models with flat bands
• Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Probing Magnetism in Insulating Cr2Ge2Te6 by Induced Anomalous Hall Effect in Pt
• Strain-Induced Room-Temperature Ferromagnetic Semiconductors with Large Anomalous Hall Conductivity in Two-Dimensional Cr2Ge2Se6
• Critical behavior of quasi-two-dimensional semiconducting ferromagnet CrGeTe${}_3$
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• Temperature dependence of the conductivity of ballistic graphene
• Remarkably enhanced Curie temperature in monolayer CrI3 by hydrogen and oxygen adsorption: A first-principles calculations
• Unconventional phases in a Haldane model of dice lattice
• First-principles studies of spin-phonon coupling in Cr2Ge2Te6 monolayer
• Crossover between Photochemical and Photothermal Oxidations of Atomically Thin Magnetic Semiconductor CrPS4
• Many-Body Effects and Optical Properties of Single- and Double Layer $\alpha$-${\mathcal{T}}_3$ Lattices
• Non-equilibrium transport in the pseudospin-1 Dirac-Weyl system
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Optically induced topological states on the surface of mercury telluride

Cited by in corpus (4)

• Massless Dirac magnons in the two dimensional van der Waals honeycomb magnet CrCl3
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band