The ground-state energy of an $N$ -polaron system confined to a quantum dot with a neutralizing background charge is investigated within an all-coupling many-body path-integral variational principle taking into account both Fermi statistics of polarons and the electron-electron interaction. The treatment of the ground-state energy is performed for both closed- and open-shell systems. The average fermion density in the neutral spherical dot is characterized by the Wigner-Seitz parameter ${r}_{s}$ . For a sufficiently large but finite number of polarons, the dependency of the ground-state energy on ${r}_{s}$ is very similar to that for a polaron gas in bulk. From this, we can conclude that the ground-state energy of a polaron gas in bulk can be qualitatively described using a model of a finite number of polarons in a confinement potential provided by a neutralizing background charge.The ground-state energy of an $N$-polaron system confined to a quantum dot with a neutralizing background charge is investigated within an all-coupling many-body path-integral variational principle taking into account both Fermi statistics of polarons and the electron-electron interaction. The treatment of the ground-state energy is performed for both closed- and open-shell systems. The average fermion density in the neutral spherical dot is characterized by the Wigner-Seitz parameter ${r}_{s}$. For a sufficiently large but finite number of polarons, the dependency of the ground-state energy on ${r}_{s}$ is very similar to that for a polaron gas in bulk. From this, we can conclude that the ground-state energy of a polaron gas in bulk can be qualitatively described using a model of a finite number of polarons in a confinement potential provided by a neutralizing background charge.

Physical Review BFeb 11, 20083 citations

Ground-state energy of two-dimensional interacting electrons in strong magnetic fields

George S. Kliros

Il Nuovo Cimento DJan 1, 19912 citations

The ground-state energy of the electron gas with the modified Coulomb potential 1/r~p in two dimensions

Liangjie Fu, Yuan Chen

In this paper,due to the effect of positively-charged screening holes,the Coulomb potential energy 1/r is modified to be 1/rp.Using many-body quantum perturbation theory,we obtain a simple analytic representation of the ground state energy for a two-dimensional electron gas.It is found that the ground-state energy E and equilibrium radius reps are dependent on the interaction parameter p.Our results agree with those obtained by the numerical simulations and semi-analytic methods at low density limit.In this paper,due to the effect of positively-charged screening holes,the Coulomb potential energy 1/r is modified to be 1/rp.Using many-body quantum perturbation theory,we obtain a simple analytic representation of the ground state energy for a two-dimensional electron gas.It is found that the ground-state energy E and equilibrium radius reps are dependent on the interaction parameter p.Our results agree with those obtained by the numerical simulations and semi-analytic methods at low density limit.

Journal of Guangzhou UniversityJan 1, 20090 citations

Ground-State Energy of Two-Dimensional Electron Solids in High Magnetic Fields

G. Meissner, U. Brockstieger

Springer series in solid-state sciencesJan 1, 19870 citations

The ground-state energy of an

N

-polaron system confined to a quantum dot with a neutralizing background charge is investigated within an all-coupling many-body path-integral variational principle taking into account both Fermi statistics of polarons and the electron-electron interaction. The treatment of the ground-state energy is performed for both closed- and open-shell systems. The average fermion density in the neutral spherical dot is characterized by the Wigner-Seitz parameter

{r}_{s}

. For a sufficiently large but finite number of polarons, the dependency of the ground-state energy on

{r}_{s}

is very similar to that for a polaron gas in bulk. From this, we can conclude that the ground-state energy of a polaron gas in bulk can be qualitatively described using a model of a finite number of polarons in a confinement potential provided by a neutralizing background charge.