In this paper we consider holographic model of exciton condensation in double monolayer Dirac semimetal. Exciton is a bound state of an electron and a hole. Being Bose particles, excitons can form a Bose–Einstein condensate. We study formation of two types of condensates. In first case both the electron and the hole forming the exciton are in the same layer (intralayer condensate), in the second case the electron and the hole are in different layers (interlayer condensate). We study how the condensates depend on the distance between layers and the mass of the quasiparticles in presence of a strong magnetic field. In order to take into account possible strong Coulomb interaction between electrons we use holographic approach. The holographic model consists of two \(D5\) branes embedded into anti de Sitter space. The condensates are described by geometric configuration of the branes. We show that the distance between layers at which interlayer condensate disappears decreases with quasiparticle mass.
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ACKNOWLEDGMENTS
I am grateful to Alexander Gorsky for suggesting the problem and numerous discussions.
Funding
This work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS and by the Russian Foundation for Basic Research, project no. 19-02-00214.
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Pikalov, A. Holographic Model of Exciton Condensation in a Double Monolayer Dirac Semimetal. Jetp Lett. 113, 285–288 (2021). https://doi.org/10.1134/S0021364021040020
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DOI: https://doi.org/10.1134/S0021364021040020