Thermal and magnetic properties of electron gas in toroidal quantum dot

Magnetic properties of GaAs parabolic quantum dot in the presence of donor impurity under the influence of external tilted electric and magnetic fields

“…This choice for the dimension of the Hamiltonian matrix: 72 × 72 guarantees that the calculated statistical average energy of the QD system at high temperature is also convergent, as shown in Table 1 of Ref. [38] and Figure 12 of Ref. [39].…”

Wave functions for a toroidal quantum dot in the presence of an axially symmetric magnetic field: transition from ring to bulk states as a function of aspect ratio

“…was calculated with fewer than 50 states in [14] at 77 K and 300 K for a presumably R = 308 Å, α = 0.4 torus where GaAs parameters for the effective mass and dielectric constant set the distance and energy scales. The partition function in [14] at 77K is reproduced, Z(300K) is not.…”

“…was calculated with fewer than 50 states in [14] at 77 K and 300 K for a presumably R = 308 Å, α = 0.4 torus where GaAs parameters for the effective mass and dielectric constant set the distance and energy scales. The partition function in [14] at 77K is reproduced, Z(300K) is not. For 50 states, [14] showed convergence to 1.91, whereas this work determined Z(300)=3.19 for 50 states via diagonalization, and to 3.21 with a large number of approximated eigenvalues.…”

“…In [14], the Schrodinger equation for a single spinless charge carrier in a toroidal volume was developed by standard methods and solved using finite element methods on a disk within the structure. Azimuthal symmetry then allowed for the solution to be known everywhere.…”

The Energy Spectra and Heat Capacity of GaAs Gaussian Quantum Dot in an External Magnetic Field

“…Gaussian QD has been investigated approximately for one particle problem by different authors (20)(21)(22)(23)(24)(25)(26)(27)(28). The variational and numerical diagonalization techniques have been applied to study the QD Hamiltonian, and investigate the electronic structure, magnetic and thermodynamic properties of a single (29)(30)(31) and coupled quantum dots (32)(33)(34).…”