Energy Regimes, Thresholds and Delimitation in Ellipsoidal Quantum Dots with a Modified Hellmann Potential

Deleted Journal, Journal Year: 2025, Volume and Issue: 3(2), P. 304 - 320

Published: April 5, 2025

This study explores energy regimes, thresholds, and delimitation in ellipsoidal quantum dots with a modified Hellmann potential, combining Coulomb Yukawa interactions. Using coordinates, we solve the Schrödinger equation numerically via Finite Difference Method (FDM). The radial distance is approximated as , valid for moderate eccentricities but introducing errors highly elongated dots. Three regimes are identified: low-energy ( ) shallow confinement, moderate-energy 7) intermediate high-energy strong confinement localized states. Threshold analysis reveals critical values eccentricity, strength, repulsion, screening parameters, determining bound state stability. Delimitation shows increased level spacing discrete density of states higher confirming stronger material properties InAs, including its small effective mass low bandgap, significantly influence levels wavefunctions. These findings have practical implications designing dot-based devices, such infrared photodetectors, lasers, tunable bandgap systems. work provides robust framework understanding engineering dots, highlighting interplay between geometry, confinement.

Language: Английский

Ray and Wave Optics in an Optical Wormhole

Physics Letters B, Journal Year: 2025, Volume and Issue: unknown, P. 139626 - 139626

Published: June 1, 2025

Language: Английский