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Development of a Method for Determining the Heat Capacity of Graphene by the Hybrid Monte Carlo Method

https://doi.org/10.56304/S2079562922050608

Abstract

We search for the ways to improve the lattice implementation of the extended Hubbard model in order to compute quantum mechanical operators of increased complexity. The standard method does not allow to eliminate all the divergences in observables, which prevents obtaining a stable distribution over configurations in the Monte Carlo method. In a set of calculations, the positive effect of two approaches is demonstrated: an introduction of additional Hubbard fields and a selection of the Hubbard−Stratonovich transformation’s parametrization.

About the Authors

S. D. Mostovoy
Lomonosov Moscow State University; National Research Centre “Kurchatov Institute”
Russian Federation

Moscow, 119991;

Moscow, 123182



O. V. Pavlovsky
Lomonosov Moscow State University; National Research Centre “Kurchatov Institute”
Russian Federation

Moscow, 119991;

Moscow, 123182



References

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Review

For citations:


Mostovoy S.D., Pavlovsky O.V. Development of a Method for Determining the Heat Capacity of Graphene by the Hybrid Monte Carlo Method. Nuclear Physics and Engineering. 2023;14(5):512-518. (In Russ.) https://doi.org/10.56304/S2079562922050608

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ISSN 2079-5629 (Print)
ISSN 2079-5637 (Online)