Ground state of excitons in quantum-dot quantum-well nanoparticles: stochastic variational method

The effects of the electron–phonon interaction on the electron (or hole) energy levels in parabolic quantum well (PQW) structures are studied. The ground state, the first excited state and the transition energy of the electron (or hole) in the GaAs/Al 0.3 Ga 0.7 As parabolic quantum well are calculated by using a modified Lee–Low–Pines Variational method. The numerical results are given and discussed. A comparison between the theoretical and experimental results is made.

Download Full-text

EFFECT OF DIELECTRIC SCREENING ON THE DIAMAGNETIC SUSCEPTIBILITY OF A DONOR IN LOW DIMENSIONAL SEMICONDUCTING SYSTEMS

International Journal of Modern Physics B ◽

10.1142/s0217979209052108 ◽

2009 ◽

Vol 23 (08) ◽

pp. 2069-2075

Author(s):

P. NITHIANANTHI ◽

P. VICKRAMAN ◽

K. JAYAKUMAR

Keyword(s):

Quantum Dot ◽

Variational Method ◽

Quantum Well ◽

Effective Mass ◽

Diamagnetic Susceptibility ◽

Quantum Well Wire ◽

Dielectric Screening ◽

Low Dimensional ◽

Infinite Barrier ◽

Barrier Model

The effect of spatial dielectric screening on the diamagnetic susceptibility (χ dia ) of a donor in Low Dimensional Semiconducting Systems like Quantum Well, Quantum Well Wire and Quantum Dot in the infinite barrier model has been computed and investigated within the effective mass theory using variational method. We observe that the effect of spatial dielectric screening on χ dia decreases with decrease of dimensionality of the system.

Download Full-text

Effects of Strong Coupling Magnetopolaron in Quantum Dot

Modern Physics Letters B ◽

10.1142/s0217984998000810 ◽

1998 ◽

Vol 12 (17) ◽

pp. 693-701 ◽

Cited By ~ 10

Author(s):

Haiyang Zhou ◽

Shiwei Gu ◽

Yaoming Shi

Keyword(s):

Excited State ◽

Quantum Dot ◽

Variational Method ◽

Strong Coupling ◽

Ground State ◽

Cyclotron Resonance ◽

State Energy ◽

Two Dimensional ◽

Excited State Energy ◽

Limiting Case

With the use of variational method of Pekar type, we have calculated both the ground state energy and the excited state energy of strong coupling magnetopolaron in disk-shape quantum dot. The dependence of cyclotron resonance frequency of magnetopolaron on the magnetic eld and the confinement strength of quantum dot and quantum well is depicted. The limiting case of bulk type and strict two-dimensional type is discussed.

Download Full-text

POLARON IN A QUANTUM DOT UNDER AN ELECTRIC FIELD

Modern Physics Letters B ◽

10.1142/s0217984907014012 ◽

2007 ◽

Vol 21 (24) ◽

pp. 1635-1642

Author(s):

MIAN LIU ◽

WENDONG MA ◽

ZIJUN LI

Keyword(s):

Quantum Dot ◽

Electric Field ◽

Field Intensity ◽

Ground State Energy ◽

Ground State ◽

Electric Field Intensity ◽

State Energy ◽

Theoretical Study ◽

The Moment ◽

Transformation Methods

We conducted a theoretical study on the properties of a polaron with electron-LO phonon strong-coupling in a cylindrical quantum dot under an electric field using linear combination operator and unitary transformation methods. The changing relations between the ground state energy of the polaron in the quantum dot and the electric field intensity, restricted intensity, and cylindrical height were derived. The numerical results show that the polar of the quantum dot is enlarged with increasing restricted intensity and decreasing cylindrical height, and with cylindrical height at 0 ~ 5 nm , the polar of the quantum dot is strongest. The ground state energy decreases with increasing electric field intensity, and at the moment of just adding electric field, quantum polarization is strongest.

Download Full-text

Effects of a scattering center on the ground-state energy of quantum-dot lithium

Modern Physics Letters B ◽

10.1142/s0217984917500713 ◽

2017 ◽

Vol 31 (07) ◽

pp. 1750071

Author(s):

Z. D. Vatansever ◽

S. Sakiroglu ◽

I. Sokmen

Keyword(s):

Quantum Dot ◽

Ground State Energy ◽

Ground State ◽

State Energy ◽

Electronic Charge ◽

Strongly Correlated ◽

Configuration Interaction Method ◽

Charge Localization ◽

Scattering Center ◽

Spin Properties

In this paper, the effects of a repulsive scattering center on the ground-state energy and spin properties of a three-electron parabolic quantum dot are investigated theoretically by means of configuration interaction method. Phase transition from a weakly correlated regime to a strongly correlated regime is examined from several strengths and positions of Gaussian impurity. Numerical results reveal that the transition from spin-1/2 to spin-3/2 state depends strongly on the location of the impurity which accordingly states the controllability of the spin polarization. Moreover, broken circular symmetry results in more pronounced electronic charge localization.

Download Full-text