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- Title
The Quantum Hall Effect under the Influence of Gravity and Inertia: A Unified Approach.
- Authors
Landry, Alexandre; Hammad, Fayçal; Saadati, Reza
- 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 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 such a combination.
- Subjects
GRAVITY; MAGNETIC fields; LANDAU levels
- Publication
Universe (2218-1997), 2024, Vol 10, Issue 3, p136
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe10030136