Self-consistently renormailzed spin-wave theory of layered ferromagnets on honeycomb lattice

Abstract

We develop a self-consistently renormalized spin-wave theory, within a mean-field approximation, for the two-dimensional Heisenberg ferromagnet with perpendicular easy-axis anisotropy on the honeycomb lattice, as well as its few-layer and bulk extensions. In this method, the magnetization dependence on temperature is found as the solution of the self-consistency equation. Furthermore, we account for the physical difference of surface and bulk layers by treating the layers as separate sublattices. Thus, the method can be readily generalized to study various magnetic phenomena in a broad range of systems, including those comprising magnetically inequivalent sublattices. Using our theory, we calculate the temperature-dependent magnetization for two chromium-based layered van der Waals insulating magnets, Cr${}_2$Ge${}_2$Te${}_6$ and CrI${}_3$, employing various sets of Heisenberg exchange and single-ion anisotropy values reported for these materials in the existing literature. As expected, we observe a strong dimensionality effect where the ordering temperature is reduced and its sensitivity on the anisotropy is enhanced with the decrease of dimensionality.

arXiv comment12 pages, 3 figures

References in corpus (14)

• Van der Waals heterostructures
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Giant Tunneling Magnetoresistance in Spin-Filter van der Waals Heterostructures
• Robust Intrinsic Ferromagnetism and Half Semiconductivity in Stable Two-Dimensional Single-Layer Chromium Trihalides
• On the origin of magnetic anisotropy in two dimensional CrI${}_3$
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
• Many-body Green's function theory of Heisenberg films
• Calculating critical temperatures for ferromagnetic order in two-dimensional materials
• On the self-consistent spin-wave theory of layered Heisenberg magnets
• Microscopic origin of ferromagnetism in trihalides CrCl${}_3$ and CrI${}_3$
• Microscopic Theory of Dipole-Exchange Spin Waves in Ferromagnetic Films: Linear and Nonlinear Processes
• Electron correlation effects on exchange interactions and spin excitations in 2D van der Waals materials

Cited by in corpus (11)

• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Temperature-Induced Magnonic Chern Insulator in Collinear Antiferromagnets
• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Magnetic interactions and spin excitations in van der Waals ferromagnet VI${}_3$
• Thermal squeezing and nonlinear spectral shift of magnons in antiferromagnetic insulators
• Temperature-anisotropy conjugate magnon squeezing in antiferromagnets
• Magnetic interactions and excitations in SrMnSb${}_2$
• Spin dynamics in itinerant antiferromagnet SrCr${}_2$As${}_2$
• Finite-temperature topological magnons in honeycomb ferromagnets with sublattice asymmetries
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Competitive Orders in Altermagnetic Chiral Magnons