Dynamics of a Tightly Bound Planar Quantum Dot Subject to Landau Quantization

Author

Horing, Norman J M ; Liu, S.Y.

Author_Institution

Dept. of Phys. & Eng. Phys., Stevens Inst. of Technol., Hoboken, NJ, USA

Volume

10

Issue

3

fYear

2010

fDate

3/1/2010 12:00:00 AM

Firstpage

678

Lastpage

680

Abstract

We have examined the quantum dynamics of a tightly bound planar (2-D) quantum dot subject to Landau quantization in a high magnetic field. The dot is taken to be set on a 2-D host sheet in a perpendicular magnetic field, and it is represented by a 2-D Dirac delta-function potential, which would support just a single subband state in the absence of the magnetic field. The integral equation for the SchroÂ¿dinger Green´s function of this system is solved in closed form analytically, and we have studied the dispersion relation for the single-particle subband energy spectrum. We find that it has a plethora of single-particle subband modes induced by Landau quantization.

Keywords

Green´s function methods; Schrodinger equation; integral equations; magnetic fields; quantum dots; quantum theory; 2D Dirac delta-function potential; Landau quantization; Schrodinger Green´s function; magnetic field; single-particle subband energy spectrum; tightly bound planar quantum dot dynamics; Dispersion; Electrons; Frequency; Integral equations; Magnetic analysis; Magnetic fields; Magnetic properties; Physics; Quantization; Quantum dots; Energy spectrum; Landau quantization; high magnetic field; quantum dot;

fLanguage

English

Journal_Title

Sensors Journal, IEEE

Publisher

ieee

ISSN

1530-437X

Type

jour

DOI

10.1109/JSEN.2009.2039525

Filename

5419262