The polarization tensor approach for Casimir effect

• Grant number: 22/08771-5
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2022
• End date: November 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Nail Khusnutdinov
• Grantee: Nail Khusnutdinov
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated researchers: Lilia M Woods

Abstract

In the last two decades many new materials were discovered, such as 2D materials -- graphene, silicene, germanene, and stanene, 3D topological and Chern insulators, and Weyl semimetals. Already they find great applications in our life. Most of them have very unusual optical and electrical properties. For example, the bi-layered graphene becomes a superconductor for a specific magic angle, and the Schwinger effect pair creation for graphene in an external electric field has recently been observed. The Casimir and Casimir--Polder interactions are universal interactions in nature and very important for nanoscale physics and especially for new materials due to their 2D origin and/or specific topology structure of conduction band. Many approaches were proposed for the calculation of the Casimir forces -- from the dipole-dipole consideration to the scattering matrix in the Quantum Fields Theory. The approach to Casimir effect in the frameworks of the polarization operator is more fundamental, and it is based on the general principles of the Quantum Fields Theory. All effects calculated in this way have no free parameters and contain the fundamental constants, only. The method of the polarization tensor approach has extended to describe different problems such as strained graphene, the conductivity of graphene, and the Faraday rotation on graphene which was observed experimentally. In the framework of the project, we plan to extend the polarization operator approach to calculate some new effects such as the calculation of Casimir energy for Weyl semimetals (based on the calculation of conductivity in the framework of polarization operator), the graphene in the external electric field, Casimir friction of graphene and the Casimir energy for a stack of graphene. (AU)

Scientific publications

(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)

EMELIANOVA, NATALIA; KHUSNUTDINOV, NAIL; KASHAPOV, RASHID. Casimir effect for a stack of graphene sheets. PHYSICAL REVIEW B, v. 107, n. 23, p. 10-pg., 2023-06-07. (22/08771-5, 21/10128-0)