Noncollinear Two-Component Quasirelativistic Description of Spin Interactions in Exchange-Coupled Systems. Mapping Generalized Broken-Symmetry States to Effective Spin Hamiltonians

2018 ◽  
Vol 14 (3) ◽  
pp. 1267-1276 ◽  
Author(s):  
Artur Wodyński ◽  
Martin Kaupp
Keyword(s):  
Coupled Systems ◽  
Broken Symmetry ◽  
Effective Spin ◽  
Spin Hamiltonians ◽  
Spin Interactions ◽  
Two Component ◽  
Systems Mapping

scholarly journals Spin Hamiltonians in Magnets: Theories and Computations

Molecules ◽  
2021 ◽  
Vol 26 (4) ◽  
pp. 803
Author(s):  
Xueyang Li ◽  
Hongyu Yu ◽  
Feng Lou ◽  
Junsheng Feng ◽  
Myung-Hwan Whangbo ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Interaction Parameters ◽  
Spin Hamiltonian ◽  
Hamiltonian Method ◽  
Effective Spin ◽  
Spin Hamiltonians ◽  
Spin Interactions ◽  
Different Types

The effective spin Hamiltonian method has drawn considerable attention for its power to explain and predict magnetic properties in various intriguing materials. In this review, we summarize different types of interactions between spins (hereafter, spin interactions, for short) that may be used in effective spin Hamiltonians as well as the various methods of computing the interaction parameters. A detailed discussion about the merits and possible pitfalls of each technique of computing interaction parameters is provided.

scholarly journals New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Lizhen Wang ◽  
Qing Huang ◽  
Yanmei Di
Keyword(s):  
Nonlinear Systems ◽  
Symmetry Algebra ◽  
Coupled Systems ◽  
Model Systems ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Two Component ◽  
Type Symmetry ◽  
Group Invariant Solutions ◽  
Virasoro Type

With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.

scholarly journals Constructing realistic effective spin Hamiltonians with machine learning approaches

2020 ◽  
Vol 22 (5) ◽  
pp. 053036
Author(s):  
Xue-Yang Li ◽  
Feng Lou ◽  
Xin-Gao Gong ◽  
Hongjun Xiang
Keyword(s):  
Machine Learning ◽  
Learning Approaches ◽  
Effective Spin ◽  
Spin Hamiltonians
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