Two-dimensional electron gas under the effect of constrained potential and magnetic field in curved space

Abstract:The effect of the curvature of a cylindrical surface on the energy spectrum for a curved two-dimensional electron gas in a homogeneous magnetic field is considered. The corrections to the energy spectrum are obtained for the first time perturbatively, in contrast to previous works where it was obtained numerically. The dispersion relationship is obtained as a function of curvature radius and the results for curved surface have been compared with the flat surface.

Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Other Condensed Matter (cond-mat.other); Quantum Physics (quant-ph)

arXiv:2302.06090 [cond-mat.mes-hall]

(or arXiv:2302.06090v2 [cond-mat.mes-hall] for this version)

https://doi.org/10.48550/arXiv.2302.06090 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1016/j.physb.2014.11.090 Focus to learn more DOI(s) linking to related resources

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.