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Induced Currents and Aharonov–Bohm Effect in Effective Fermion Models and in Spaces with a Compact Dimensionстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 30 апреля 2021 г.
- Автор: Zhukovsky V.Ch
- Журнал: Symmetry
- Том: 13
- Номер: 2
- Год издания: 2021
- Издательство: MDPI
- Местоположение издательства: Basel, Switzerland
- Первая страница: 210
- DOI: 10.3390/sym13020210
- Аннотация: We consider fermion models in 3D- and 5D-space-time with an Aharonov–Bohm potentialand a domain wall. Induced current is calculated, which is due to vacuum effects in the topologicallynontrivial space-time. Violation of chiral symmetry and appearance of induced current is demon-strated in a simple example of quantum mechanical violation of symmetry in a model of a masslessDirac fermion moving in a background vector field and domain walls as barriers for the electronpropagation. The effective Dirac equation for massless electrons modeling monolayer graphene isused. One of the solutions to the problem of describing domain walls in planar systems is reducedto finding exact analytic solutions. In this paper, we consider appearance of induced current intwo-fermion model with a compact dimension as a result of vacuum polarization in the field of theexternal gauge field in the 4 + 1 and the 2 + 1 dimensional models with one type of fermions and withtwo types of fermions living in the brane and in the bulk. Two different approaches (Kaluza–Kleinand Aharonov–Bohm) to the problem of induced current are used. Production of an induced current in a planar model with a thin solenoid is also studied.
- Добавил в систему: Жуковский Владимир Чеславович