Quantum Monte Carlo simulation of thin magnetic films

Abstract

The stochastic series expansion quantum Monte Carlo method is used to study thin ferromagnetic films, described by a Heisenberg model including local anisotropies. The magnetization curve is calculated, and the results compared to Schwinger boson and many-body Green's function calculations. A transverse field is introduced in order to study the reorientation effect, in which the magnetization changes from out-of-plane to in-plane. Since the approximate theoretical approaches above differ significantly from each other, and the Monte Carlo method is free of systematic errors, the calculation provides an unbiased check of the approximate treatments. By studying quantum spin models with local anisotropies, varying spin size, and a transverse field, we also demonstrate the general applicability of the recent cluster-loop formulation of the stochastic series expansion quantum Monte Carlo method.

9 pages, 12 figures

References in corpus (1)

• Many-body Green's function theory for thin ferromagnetic films: exact treatment of the single-ion anisotropy

Cited by in corpus (21)

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• Directed Loop Updates for Quantum Lattice Models
• Theory of field induced spin reorientation transition in thin Heisenberg films
• Anisotropy effects on the magnetic excitations of a ferromagnetic monolayer below and above the Curie temperature
• Two Dimensional Diluted Magnetic Semiconductor Systems
• Thermodynamics of Heisenberg ferromagnets with arbitrary spin in a magnetic field
• Many-body Green's function theory of ferromagnetic Heisenberg systems with single-ion anisotropies in more than one direction
• Ground state of the random-bond spin-1 Heisenberg chain
• Anisotropic susceptibility of ferromagnetic ultrathin Co films on vicinal Cu
• Two-dimensional Heisenberg antiferromagnet in a transverse field
• Hybrid Quantum-Classical Monte-Carlo Study of a Molecule-Based Magnet
• The spectral theorem of many-body Green's function theory when there are zero eigenvalues of the matrix governing the equations of motion
• Green function theory versus Quantum Monte Carlo calculations for thin magnetic films
• Single-ion versus exchange anisotropy in calculating anisotropic susceptibilities of thin ferromagnetic Heisenberg films within many-body Green's function theory
• Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction
• The treatment of zero eigenvalues of the matrix governing the equations of motion in many-body Green's function theory
• Anisotropic susceptibilities of thin ferromagnetic films within many-body Green's function theory
• Magnons in a two dimensional transverse field XXZ model
• A new type of temperature driven reorientation transition in magnetic thin films
• Addressing general measurements in quantum Monte Carlo
• The magnetic reorientation transition in thin ferromagnetic films treated by many-body Green's function theory