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Title: Toward Discord: Code for Simulating Continuous Spin Systems

Journal Article · · JOM. Journal of the Minerals, Metals & Materials Society

A new computational tool to simulate classical spin systems with frustrated crystal structures is presented. Complementary single- and cluster-spin flip algorithms are implemented to calculate the diffuse scattering patterns, spin-pair correlations, and thermodynamic quantities. Test cases of geometrically frustrated kagome, pyrochlore, and cubic systems are detailed. Two recent scientific cases are also shown here. This new method, together with recent developments of the rmc-discord package (https://github.com/zjmorgan/rmc-discord), represent integrated and strategic step in a complete forward and reverse Monte Carlo framework discord.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1867781
Journal Information:
JOM. Journal of the Minerals, Metals & Materials Society, Vol. 74, Issue 6; ISSN 1047-4838
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (31)

rmc-discord : reverse Monte Carlo refinement of diffuse scattering and correlated disorder from single crystals journal November 2021
Overcoming Critical Slowing Down journal January 1989
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics journal January 1958
Magnetic structures journal November 2019
A new approach to calculating powder diffraction patterns based on the Debye scattering equation journal December 2009
Model-free reconstruction of magnetic correlations in frustrated magnets journal June 2018
Magnetic pyrochlore oxides journal January 2010
Analytic approximations to form factors journal November 1971
Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7 journal September 2009
Geometrical frustration journal February 2006
Atomic Dispacement Parameter Nomenclature. Report of a Subcommittee on Atomic Displacement Parameter Nomenclature journal September 1996
Neutron studies of gauge field and charge in Ih heavy-water ice journal May 2019
Replica Monte Carlo Simulation of Spin-Glasses journal November 1986
Magnetic correlations and structure in bixbyite across the spin-glass transition journal October 2019
A Guide to Monte Carlo Simulations in Statistical Physics book November 2014
Collective Monte Carlo Updating for Spin Systems journal January 1989
Wolff algorithm and anisotropic continuous-spin models: An application to the spin–van der Waals model journal July 1992
A fully frustrated simple cubic lattice with XY and Heisenberg spins: ground state and phase transition journal November 1985
Generalized Simulated Annealing for Function Optimization journal August 1986
Nonuniversal critical dynamics in Monte Carlo simulations journal January 1987
Cluster Monte Carlo algorithms journal September 1990
The crystallography of correlated disorder journal May 2015
Anisotropic Superexchange Interaction and Weak Ferromagnetism journal October 1960
Equation of State Calculations by Fast Computing Machines journal June 1953
Single-ion anisotropy is necessary and appropriate to study the magnetic behavior of Tb 3 + moments with J eff = 1 2 on the honeycomb lattice in Tb 2 Ir 3 Ga 9 journal June 2021
ISODISPLACE : a web-based tool for exploring structural distortions journal July 2006
Strongly Geometrically Frustrated Magnets journal August 1994
8. The Crystal Structure of Bixbyite and the C-Modification of the Sesquioxides journal January 1930
Canted antiferromagnetic order and spin dynamics in the honeycomb-lattice compound Tb 2 Ir 3 Ga 9 journal May 2021
Ultrafast calculation of diffuse scattering from atomistic models journal January 2019
Introduction to the Theory of Thermal Neutron Scattering book May 2012

Figures / Tables (7)