Geodesic
Diluted cubic spin ice model
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 120-132

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In this paper we consider a model of Ising-like point dipoles located on the edges of a simple cubic lattice. The temperature behaviour of heat capacity, magnetization and magnetic susceptibility in the nearest-neighbour model and the model with a limited long-range interaction radius is obtained by the Metropolis method. Three thermodynamic magnetic phases are present in the system: long-range order, short-range order, and disorder. The long-range order phase is absent in the nearest-neighbour model. The short-range order phase is characterised by a high level of entropy induced by the lattice geometry. An external magnetic field along one of the basis axes leads to the competition of order parameters in the model with a limited long-range interaction radius, and to the disappearance of residual entropy as a heat capacity peak in the nearest-neighbour model. The nonlinear dependence of the critical temperature of heat capacity on the concentration of dilution of the system by nonmagnetic vacancies in the nearest-neighbour model is shown. 
@article{DVMG_2024_24_1_a10,
     author = {V. S. Strongin and P. A. Ovchinnikov and E. A. Lobanova and I. V. Trefilov and Yu. A. Shevchenko},
     title = {Diluted cubic spin ice model},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {120--132},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a10/}
}
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V. S. Strongin; P. A. Ovchinnikov; E. A. Lobanova; I. V. Trefilov; Yu. A. Shevchenko. Diluted cubic spin ice model. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 120-132. http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a10/