Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study
Abstract
Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by combining a coordinate-dependent interatomic potential with a Heisenberg-like spin Hamiltonian, facilitating the treatment of both the atomic coordinates and the spins as explicit phase variables. Using a model parameterized for bcc iron, we study the magnetic phase transition in these complex systems via the recently introduced, massively parallel replica-exchange Wang-Landau Monte Carlo method. Comparison with the results obtained from rigid lattice (spin-only) simulations shows that the transition temperature as well as the amplitude of the peak in the specific heat curve is marginally affected by the lattice vibrations. Moreover, we report the results were found to be sensitive to the particular choice of interatomic potential.
- Authors:
-
- Univ. of Georgia, Athens, GA (United States); Mississippi State Univ., Mississippi State, MS (United States)
- Stetson Univ., DeLand, FL (Uniteid States)
- Univ. of Georgia, Athens, GA (United States)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for Defect Physics in Structural Materials (CDP)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1369734
- Alternate Identifier(s):
- OSTI ID: 1329096
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 4; Related Information: CDP partners with Oak Ridge National Laboratory (lead); Ames Laboratory; University of California, Berkeley; Carnegie Mellon University; University of Georgia; University of Illinois, Urbana-Champaign; Ohio State University; University of Tennessee; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Perera, Dilina, Vogel, Thomas, and Landau, David P. Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study. United States: N. p., 2016.
Web. doi:10.1103/PhysRevE.94.043308.
Perera, Dilina, Vogel, Thomas, & Landau, David P. Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study. United States. https://doi.org/10.1103/PhysRevE.94.043308
Perera, Dilina, Vogel, Thomas, and Landau, David P. Mon .
"Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study". United States. https://doi.org/10.1103/PhysRevE.94.043308. https://www.osti.gov/servlets/purl/1369734.
@article{osti_1369734,
title = {Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study},
author = {Perera, Dilina and Vogel, Thomas and Landau, David P.},
abstractNote = {Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by combining a coordinate-dependent interatomic potential with a Heisenberg-like spin Hamiltonian, facilitating the treatment of both the atomic coordinates and the spins as explicit phase variables. Using a model parameterized for bcc iron, we study the magnetic phase transition in these complex systems via the recently introduced, massively parallel replica-exchange Wang-Landau Monte Carlo method. Comparison with the results obtained from rigid lattice (spin-only) simulations shows that the transition temperature as well as the amplitude of the peak in the specific heat curve is marginally affected by the lattice vibrations. Moreover, we report the results were found to be sensitive to the particular choice of interatomic potential.},
doi = {10.1103/PhysRevE.94.043308},
journal = {Physical Review E},
number = 4,
volume = 94,
place = {United States},
year = {Mon Oct 17 00:00:00 EDT 2016},
month = {Mon Oct 17 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Thermophysical properties of some key solids: An update
journal, September 1997
- White, G. K.; Minges, M. L.
- International Journal of Thermophysics, Vol. 18, Issue 5
Phonon-magnon interactions in body centered cubic iron: A combined molecular and spin dynamics study
journal, May 2014
- Perera, Dilina; Landau, David P.; Nicholson, Don M.
- Journal of Applied Physics, Vol. 115, Issue 17
A modification of the Finnis-Sinclair potentials for highly deformed and defective transition metals
journal, May 1987
- Rebonato, R.; Welch, D. O.; Hatcher, R. D.
- Philosophical Magazine A, Vol. 55, Issue 5
Global minima of transition metal clusters described by Finnis–Sinclair potentials: A comparison with semi-empirical molecular orbital theory
journal, December 2009
- Elliott, J. A.; Shibuta, Y.; Wales, D. J.
- Philosophical Magazine, Vol. 89, Issue 34-36
High-accuracy Monte Carlo study of the three-dimensional classical Heisenberg ferromagnet
journal, March 1991
- Peczak, P.; Ferrenberg, Alan M.; Landau, D. P.
- Physical Review B, Vol. 43, Issue 7
Spin-lattice dynamics study of vacancy formation and migration in ferromagnetic BCC iron
journal, September 2013
- Wen, Haohua; Ma, Pui-Wai; Woo, C. H.
- Journal of Nuclear Materials, Vol. 440, Issue 1-3
Magnons and Magnon-Phonon Interactions in Iron
journal, September 1999
- Sabiryanov, R. F.; Jaswal, S. S.
- Physical Review Letters, Vol. 83, Issue 10
Phonon-Magnon Interaction in Magnetic Crystals
journal, July 1962
- Sinha, K. P.; Upadhyaya, U. N.
- Physical Review, Vol. 127, Issue 2
Phase transitions of a single polymer chain: A Wang–Landau simulation study
journal, September 2009
- Taylor, Mark P.; Paul, Wolfgang; Binder, Kurt
- The Journal of Chemical Physics, Vol. 131, Issue 11
Temperature dependence of enthalpies and entropies of formation and migration of mono-vacancy in BCC iron
journal, December 2014
- Wen, Haohua; Woo, C. H.
- Journal of Nuclear Materials, Vol. 455, Issue 1-3
Scalable replica-exchange framework for Wang-Landau sampling
journal, August 2014
- Vogel, Thomas; Li, Ying Wai; Wüst, Thomas
- Physical Review E, Vol. 90, Issue 2
A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling
journal, October 2004
- Landau, D. P.; Tsai, Shan-Ho; Exler, M.
- American Journal of Physics, Vol. 72, Issue 10
Dynamics of the Wang–Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass
journal, July 2004
- Alder, Simon; Trebst, Simon; Hartmann, Alexander K.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 07
An improved N -body semi-empirical model for body-centred cubic transition metals
journal, July 1987
- Ackland, G. J.; Thetford, R.
- Philosophical Magazine A, Vol. 56, Issue 1
Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
journal, October 2001
- Wang, Fugao; Landau, D. P.
- Physical Review E, Vol. 64, Issue 5
Monte Carlo simulation of proteins through a random walk in energy space
journal, April 2002
- Rathore, Nitin; de Pablo, Juan J.
- The Journal of Chemical Physics, Vol. 116, Issue 16
Potential of mean force between a spherical particle suspended in a nematic liquid crystal and a substrate
journal, October 2002
- Kim, Evelina B.; Faller, Roland; Yan, Qiliang
- The Journal of Chemical Physics, Vol. 117, Issue 16
Understanding and improving the Wang-Landau algorithm
journal, August 2005
- Zhou, Chenggang; Bhatt, R. N.
- Physical Review E, Vol. 72, Issue 2
Reinventing atomistic magnetic simulations with spin-orbit coupling
journal, February 2016
- Perera, Dilina; Eisenbach, Markus; Nicholson, Don M.
- Physical Review B, Vol. 93, Issue 6
Fast algorithm to calculate density of states
journal, April 2007
- Belardinelli, R. E.; Pereyra, V. D.
- Physical Review E, Vol. 75, Issue 4
A new paradigm for petascale Monte Carlo simulation: Replica exchange Wang-Landau sampling
journal, May 2014
- Li, Ying Wai; Vogel, Thomas; Wüst, Thomas
- Journal of Physics: Conference Series, Vol. 510
A simple empirical N -body potential for transition metals
journal, July 1984
- Finnis, M. W.; Sinclair, J. E.
- Philosophical Magazine A, Vol. 50, Issue 1
Exploring new frontiers in statistical physics with a new, parallel Wang-Landau framework
journal, March 2014
- Vogel, Thomas; Li, Ying Wai; Wüst, Thomas
- Journal of Physics: Conference Series, Vol. 487
Combined molecular dynamics-spin dynamics simulations of bcc iron
journal, March 2014
- Perera, Dilina; Landau, David P.; Nicholson, Don M.
- Journal of Physics: Conference Series, Vol. 487
Exchange Monte Carlo Method and Application to Spin Glass Simulations
journal, June 1996
- Hukushima, Koji; Nemoto, Koji
- Journal of the Physical Society of Japan, Vol. 65, Issue 6
Generic, Hierarchical Framework for Massively Parallel Wang-Landau Sampling
journal, May 2013
- Vogel, Thomas; Li, Ying Wai; Wüst, Thomas
- Physical Review Letters, Vol. 110, Issue 21
A ‘magnetic’ interatomic potential for molecular dynamics simulations
journal, October 2005
- Dudarev, S. L.; Derlet, P. M.
- Journal of Physics: Condensed Matter, Vol. 17, Issue 44
Microscopic Theory of the Temperature-Pressure Phase Diagram of Iron
journal, January 1983
- Hasegawa, H.; Pettifor, D. G.
- Physical Review Letters, Vol. 50, Issue 2
Large-scale simulation of the spin-lattice dynamics in ferromagnetic iron
journal, July 2008
- Ma, Pui-Wai; Woo, C. H.; Dudarev, S. L.
- Physical Review B, Vol. 78, Issue 2
Algorithm for Molecular Dynamics Simulations of Spin Liquids
journal, January 2001
- Omelyan, I. P.; Mryglod, I. M.; Folk, R.
- Physical Review Letters, Vol. 86, Issue 5
Magnetically induced crystal structure and phase stability in
journal, August 1996
- Abrikosov, I. A.; James, P.; Eriksson, O.
- Physical Review B, Vol. 54, Issue 5
Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States
journal, March 2001
- Wang, Fugao; Landau, D. P.
- Physical Review Letters, Vol. 86, Issue 10
Effect of lattice vibrations on magnetic phase transition in bcc iron
journal, December 2012
- Yin, Junqi; Eisenbach, Markus; Nicholson, Don M.
- Physical Review B, Vol. 86, Issue 21
Million-atom molecular dynamics simulations of magnetic iron
journal, February 2007
- Derlet, P.; Dudarev, S.
- Progress in Materials Science, Vol. 52, Issue 2-3
Anisotropic magnetic molecular dynamics of cobalt nanowires
journal, November 2012
- Beaujouan, David; Thibaudeau, Pascal; Barreteau, Cyrille
- Physical Review B, Vol. 86, Issue 17
Works referencing / citing this record:
Collective dynamics in atomistic models with coupled translational and spin degrees of freedom
text, January 2017
- Perera, Dilina; Nicholson, Don M.; Eisenbach, Markus
- arXiv