Origin of the anisotropic Coulomb interaction potential for a two-dimensional system of charged particles with anisotropic mass

• Published in: Results in physics Vol. 26; p. 104427
• Main Author: Ciftja, Orion
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2021; Elsevier
• Subjects: Anisotropic Coulomb interaction; Anisotropic mass; Quantum Hall effect; Two-dimensional electron gas; Quantum Hall effect; Two-dimensional electron gas; Anisotropic mass; Anisotropic Coulomb interaction
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104427

There have been several studies that have considered an anisotropic Coulomb interaction potential of a specific form to model anisotropic quantum Hall states of two-dimensional systems of electrons in a perpendicular constant magnetic field. The motivation and justification behind such a choice is tacitly implied without providing too many details. This work explains the physical reasons that lead to an anisotropic Coulomb interaction potential of such a form for the case of a two-dimensional system of charged particles with anisotropic effective band mass. •Two-dimensional system of charged particles with anisotropic mass.•System subject to a constant perpendicular magnetic field.•Mass anisotropy leads to an effective anisotropic Coulomb potential.•Result proven rigorously irrespective of the choice of the vector gauge.