Magnetic response of non-interacting and interacting electrons in a Möbius strip

Abstract

We investigate characteristic features of both non-interacting and interacting electrons in a Möbius strip, the simplest possible one-sided topological system, in presence of an Aharonov-Bohm flux φ. Using Hartree-Fock mean field theory we determine energy eigenvalues for the interacting model, while for the non-interacting system an analytical prescription is given. The interplay between longitudinal and vertical motions of electrons along with on-site Hubbard interaction yield several anomalous features of persistent current associated with energy-flux characteristics. The variation of current with system size and its temperature dependences are also critically examined. Current is highly sensitive to both these two factors, and we find that for a particular system size it decreases exponentially with temperature. Our analysis can be helpful in investigating electronic transport through any non-trivial topological material.

Investigation of electronic properties of alloyed double metal ring

“…Several theoretical and experimental studies have achieved to investigate interesting characteristic features of persistent currents in different mesoscopic geometries. Most of the geometrical structures that studied are simple mesoscopic ring [3,[7][8][9][10], an array of mesoscopic rings [11], mesoscopic cylinder [12][13][14], Möbius strip [15]. In these studies, persistent currents have been calculated with respect to temperature [16,17], electron-phonon interaction [18], electron correlation [19], Rashba and Dresselhaus spin-orbit interactions [20,21] electric field [22].…”