The Quantum Hall Effect under the Influence of Gravity and Inertia: A Unified Approach
Alexandre Landry,
Fayçal Hammad,
Reza Saadati
Abstract: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 … Show more
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