Quantum dot in a graphene layer with topological defects

Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction

“…The DO has been also studied in the context of minimal length uncertainty [33,34]. The DO is an exactly solvable system and this important fact makes the DO is a useful system to determine the influence of spacetime topology on the dynamics of the corresponding systems [5,[35][36][37][38][39][40]. However, in many areas of the modern physics, a quantum oscillator is used to determine the dynamics of the interacting particles [6].…”

Harmonic oscillator in an elastic medium with a spiral dislocation

“…The common point between these areas of physics is the description of these defects made by the Volterra process [1,2,4,5]. Up to now, a great deal of study has explored quantum system in the presence of disclinations [6][7][8][9][10] and screw dislocations [5,[11][12][13][14][15][16] in the context of condensed matter physics. In particular, torsion effects related to the presence of topological defects are in the interests of studies of semiconductors [17][18][19][20].…”

Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time

“…The studies of persistent currents have explored systems that deal with the Berry phase [43,44], the Aharonov-Anandan quantum phase [45,46], and the Aharonov-Casher geometric quantum phase [47][48][49][50]. Investigation of magnetization and persistent currents of mass-less Dirac Fermions confined in a quantum dot in a graphene layer with topological defects was studied in [51].…”