MagDots: Magnetization dynamics of nanoelement arrays

Purpose

The program is capable to calculate a spin-wave spectrum and a distribution of an internal magnetic field in infinite and semi-infinite arrays of magnetic elements arranged in period lattice with a complex elementary cell. The program implements ideas proposed in "Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots".

Installation

Requirements

• Python 3.3 or later
• Cython and a C compiler (gcc)
• Make
• NumPy and SciPy
• GNU GSL library from your distribution (headers and binary)
• Matplotlib for plotting

To compile the Cython code execute the Makefile: make

Compilation was tested on Linux-based and OS X systems only, however, should work on other systems with Cython and a C compiler installed.

To run tests type make tests

Having the Cython code complied, one can run examples from the examples directory

Usage

The program has two modes for bulk and edge spectra calculations. Examples in the examples directory are self-explanatory, but it is implied that a user is familiar with the method of calculation.

Examples

Bulk spin-wave modes

• bulk/calc_FM.py calculation of bulk spin-wave spectra of an array of circular pillars arranged in a square lattice in a ferromagnetic ground state
• bulk/calc_CAFM.py the same as for the above, but for a chessboard antiferromagnetic ground state
• bulk/calc_equilibrium.py calculate spin-wave spectra of an array of nanoelements arranged in a hexagonal lattice , magnetized by a bias magnetic field in an arbitrary direction

Edge spin-wave modes

• edge/calc_FM.py calculation of edge spin-wave spectra of an array of circular pillars arranged in a square lattice in a ferromagnetic ground state
• edge/calc_CAFM.py the same as for the above, but for a chessboard antiferromagnetic ground state
• edge/calc_CAFM_domain_wall.py calculation of a domain-wall spin-wave spectrum existing between two chessboard antiferromagnetic ground states

How to cite

If you are using this program or/and produce scientific publications based on it, we kindly ask you cite it as:

Ivan Lisenkov, Vasyl Tyberkevych, Sergey Nikitov, Andrei Slavin
Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots
arXiv:1511.08483
http://arxiv.org/abs/1511.08483

Copyright

The program is written by Ivan Lisenkov. The analytical theory is developed by Ivan Lisenkov, Vasyl Tyberkevych and Andrei Slavin at The Department of Physics, Oakland University, Rochester, Michigan, USA.

(C) 2015 Ivan Lisenkov

Department of Physics
Oakland University
2200 N. Squirrel Rd
Rochester, MI, U.S.A.
48309-4401

MagDots is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

MagDots is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with MagDots. If not, see http://www.gnu.org/licenses/.