Cosmic string influence on a 2D hydrogen atom and its relationship with the Rytova-Keldysh logarithmic approximation in semiconductors
arXiv:2311.14144 · doi:10.1016/j.aop.2024.169660
Abstract
A two-dimensional hydrogen atom offers a promising alternative for describing the quantum interaction between an electron and a proton in the presence of a straight cosmic string. Reducing the hydrogen atom to two dimensions enhances its suited to capture the cylindrical/conical symmetry associated with the cosmic string, providing a more appropriate description of the physical system. After solving Schrdinger's equation, we calculate the eigenenergies, probability distribution function, and expected values for the hydrogen atom with logarithmic potential under the influence of the topological defect. The calculations for the 2D hydrogen atom are performed for the first time using the Finite Difference Method. The results are presented through graphics, tables, and diagrams to elucidate the system's physical properties. We have verified that our calculations agree with a linear variational method result. Our model leads to an interesting analogy with excitons in a two-dimensional monolayer semiconductor located within a specific semiconductor region. To elucidate this analogy, we present and discuss some interaction potentials and their exciton eigenstates by comparing them with the results from the literature.
arXiv comment6 figures, 3 tables
References in corpus (21)
- Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS2
- Cosmic strings
- Exciton Diamagnetic Shifts and Valley Zeeman Effects in Monolayer WS and MoS to 65 Tesla
- Binding energies of exciton complexes in transition metal dichalcogenides and effect of dielectric environment
- Magneto-Optics of Exciton Rydberg States in a Monolayer Semiconductor
- Probing the influence of dielectric environment on excitons in monolayer WSe2: Insight from high magnetic fields
- Simple Screened Hydrogen Model of Excitons in Two-Dimensional Materials
- Non-relativistic quantum systems on topological defects space-times
- Hydrogen atom in the gravitational fields of topological defects
- Three-particle Complexes in Two-Dimensional Semiconductors
- The two-dimensional hydrogen atom revisited
- Effective mass theory for the anisotropic exciton in 2D crystals: Application to phosphorene
- On the Optical Properties of Excitons in Buckled 2D Materials in an External Electric Field
- Approximate Born-Infeld Effects on the Relativistic Hydrogen Spectrum
- Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
- Modifications of electron states, magnetization and persistent current in a quantum dot by controlled curvature
- Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
- Effects of Two-Dimensional Material Thickness and Surrounding Dielectric Medium on Coulomb Interactions and Excitons
- The wiggly cosmic string as a waveguide for massless and massive fields
- Extreme Cosmic String
- Comment to: Corrections to the fine structure constant in the spacetime of a cosmic string from the generalized uncertainty principle