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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Stark Effect for Donors in Rolled-Up Quantum Well.

Luis Francisco Garcia Russi1, Ilia D Mikhailov1, Ruthber Antonio Escorcia Caballero2

  • 1Escuela de Física, Facultad de Ciencias, Universidad Industrial de Santander, A. A. 678, Bucaramanga 680002, Colombia.

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|July 29, 2023
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Summary

We calculated shallow donor energies in a rolled-up quantum well. Donor position, spiral geometry, and electric fields significantly impact the density of states and donor properties.

Keywords:
Stark effectbinding energydonor impurityexternal electric fieldrolled-up quantum well

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Nanotechnology

Background:

  • Rolled-up semiconductor nanomembranes offer unique quantum confinement.
  • Shallow donors in quantum wells are crucial for electronic and optical properties.
  • Understanding donor behavior under electric fields is key for device applications.

Purpose of the Study:

  • To investigate the electronic properties of shallow donors in a rolled-up quantum well.
  • To analyze the influence of electric fields and structural parameters on donor states.
  • To explore the dipole moment and polarizability of donors in this novel geometry.

Main Methods:

  • Numerical solution of the Schrödinger equation.
  • Utilizing natural curvilinear coordinates for the rolled-up geometry.
  • Analysis of density of states, dipole moment, and polarizability.

Main Results:

  • Density of states curves show high sensitivity to donor position, spiral geometry, and electric field.
  • Novel dependencies of donor dipole moment and polarizability on electric field strength and orientation were found.
  • Anisotropic Stark effect leads to spike-like polarizability and sharp dipole moment variations.

Conclusions:

  • The electronic properties of shallow donors are highly tunable in rolled-up quantum wells.
  • The observed anisotropic Stark effect offers new possibilities for electric field control.
  • This research provides insights for designing novel nanodevices based on tailored quantum structures.