Self-organization of charge particles in circular geometry
Семинары
Семинар «Ядерная физика низких энергий»
Дата и время: пятница, 21 мая 2021 г., в 14:30
Место: Онлайн-конференция в Zoom, Лаборатория теоретической физики им. Н.Н. Боголюбова
Тема семинара: «Self-organization of charge particles in circular geometry»
Докладчик: Р. Г. Назмитдинов
Аннотация:
One of the important achievements of modern technology consists in the creation of «artificial atoms» or quantum dots, where a finite number of electrons is confined electrostatically in a nanometer-sized region. It is shown that at high values of the external magnetic field and/or at the strong Coulomb interaction between particles the ground state of a quantum dot corresponds to a self-organization of classical charged particles that are localized on rings. The basic principles of self-organization of one-component charged particles, confined in a disk and circular parabolic potentials, are proposed. A system of equations is derived, that allows determining equilibrium configurations for arbitrary, but finite, the number of charged particles. The results of our approach demonstrate a remarkable agreement with the values provided by molecular dynamics calculations. With the increase of particle number n>180, we find a steady formation of a centred hexagonal lattice that smoothly transforms to valence circular rings in the ground state configurations for both potentials.