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The Casimir and Casimir--Polder effects for Weyl semi-metals and anisotropic atoms

Grant number: 19/10719-9
Support type:Regular Research Grants
Duration: August 01, 2019 - July 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Nail Khusnutdinov
Grantee:Nail Khusnutdinov
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil


The Casimir and Casimir--Polder interactions are universal interaction in nature. They appear for any bodies and for any particles. These interactions play a positive or negative role in the many devices and hydrogen storage in carbon nanostructures and they are the main interactions in nano-scales. First investigations by Casimir were based on the ideal materials and do not depend on the properties of a matter, but the geometry of boundaries, only. Since that time many achievements were made for consideration the Casimir effects for real materials. We know now that the Casimir and Casimir--Polder energies strongly depend on the conductivity, temperature, chemical potential, external fields, spatial and temporal properties of matter. At the same time, last decades many new materials appeared with unusual properties - graphene, topological insulators, Weyl semi-metals, meta-materials and so on. Already now they find great application in our life. Graphene has very unusual optical and electrical properties, and the Hall effect is quantized for numbers different from usual ones and so on. All of these properties influences on the Casimir and Casimir--Polder effects. Topological insulators, for example, placed in a strong magnetic field demonstrate quantization of the Casimir energy. In the framework of the project, we plan to make bases of theory and calculate in manifest form the Casimir and Casimir--Polder effects for Weyl semi-metals and for anisotropic molecules. The footing of the theory is the development of our approach to the Casimir effect based on the scattering matrix approach. (AU)

Scientific publications (4)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
ANTEZZA, MAURO; FIALKOVSKY, IGNAT; KHUSNUTDINOV, NAIL. Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effect on CO2. Physical Review B, v. 102, n. 19 NOV 17 2020. Web of Science Citations: 0.
EMELIANOVA, N.; FIALKOVSKY, V, I.; KHUSNUTDINOV, N. Casimir effect for biaxial anisotropic plates with surface conductivity. MODERN PHYSICS LETTERS A, v. 35, n. 3, SI JAN 30 2020. Web of Science Citations: 0.
KHUSNUTDINOV, N. Self-force and the Huygens principle. International Journal of Modern Physics A, v. 35, n. 2-3, SI JAN 30 2020. Web of Science Citations: 0.
KHUSNUTDINOV, N.; WOODS, L. M. Casimir Effects in 2D Dirac Materials (Scientific Summary). JETP LETTERS, v. 110, n. 3, p. 183-192, AUG 2019. Web of Science Citations: 0.

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