The quantum Hall effect under the influence of gravity and inertia: A unified approach

Autor: Landry, Alexandre, Hammad, Fayçal, Saadati, Reza
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
DOI: 10.3390/universe10030136
Popis: The quantum Hall effect under the influence of gravity and inertia is studied in a unified way. We make use of an algebraic approach, as opposed to an analytic approach. We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia using a unified Hamiltonian. For that purpose, we first re-derive, using the purely algebraic method, the energy spectrum of charged particles moving in a plane perpendicular to a constant and uniform magnetic field either (i) under the influence of a nonlinear gravitational potential or (ii) under the influence of a constant rotation. The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained. The electrons mutual Coulomb interaction that gives rise to the familiar fractional quantum Hall effect is also discussed within a such a combination.
Comment: 18 pages, no figure. Will appear soon in Universe Journal
Databáze: arXiv
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje