XXVII International Symposium "Nanophysics and Nanoelectronics", Nizhny Novgorod, 13 - 16 March 2023

Graphene in the magnetic field with constant gradient

A. V. Germanenko, E. L. Rumyantsev

School of Natural Science and Mathematics, Ural Federal University, 620000 Ekaterinburg, Russia

Abstract: The possibility of the carriers' confinement in graphene by the magnetic field with constant gradient is considered. The obtained results are compared with the classical description of the plasma motion within magnetically neutral sheet in the earth geomagnetic tail. The consideration is carried out within the original strictly gauge invariant approach making use of the additional integral of motion, so called pseudo-momentum. The essential role of the tunneling effect distinguishing quantum case from classical behavior is revealed.

Keywords: graphene, magnetic field, tunneling effect, classical and non-relativistic quantum cases.

Received: 05.05.2023
Revised: 29.06.2023
Accepted: 06.07.2023

Language: English