Two-dimensional neutral donors in electric fields

Ivanov, Mikhail; Schinke, Reinhard

doi:10.1088/0953-8984/15/34/320

Cited by 4 publications

(4 citation statements)

References 20 publications

(31 reference statements)

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“…Moreover, our results allow one to obtain that the widths of all these resonances are to be proportional to the value ͱF. This contradicts a well-known picture for both a hydrogen atom in strong electric fields, [27][28][29]31 which is actual for the hydrogen molecular ion, and for a two-dimensional donor, 16 actual for the 2D system, considered here. For both systems a monotonous increase of widths of levels at increasing electric-field strengths is characteristic for a domain of strong fields.…”

Section: Two Coulomb Centerscontrasting

confidence: 87%

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Two-dimensional analogs of theH2+ion in stationary electric fields

Ivanov

Schinke

2004

Phys. Rev. B

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We calculate energies and lifetimes for two two-dimensional analogs of the hydrogen molecular ion H 2 ϩ in external static electric fields directed along the axis of the system. They are two positive Coulomb impurity centers with one electron in a narrow two-dimensional quantum well and the electron in a double quantum dot.For state 2p u we obtain oscillating dependencies of the ionization rate ⌫ on the electric-field strength F and the distance between centers R. We explain the oscillation picture by an interference of the electronic wave between two centers. The oscillations decrease faster for a pair of quantum dots with short-range attractive potentials than for a pair of Coulomb centers. The latter is due to the fact that long-range Coulomb potentials form a kind of channel preventing a dissipation of the electronic density sidewards from the axis of the system.

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Section: Two Coulomb Centerscontrasting

confidence: 87%

“…In this limit the value of ⌫/2 corresponds to the ground state of an electron in an isolated 2D Coulomb center. 16 The oscillating dependencies for the state 2p u have the same limit. Relative positions of the curves for states 1s g and 2p u are different for regimes of the tunneling (FϽ1) and the overbarrier ionization (FϾ1).…”

Section: Two Coulomb Centersmentioning

confidence: 83%

Two-dimensional analogs of theH2+ion in stationary electric fields

Ivanov

Schinke

2004

Phys. Rev. B

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“…This is due to the quantitatively reduced effect of an external electric field on 2D hydrogen like systems compared to 3D ones (see Ref. 24,25 and references therein). The presence of maxima for the energy functions E b (ρ 0 ) and the shifts of these maxima with changing radial electric field strength determine the form of these functions E b (λ) presented in Figure 6.…”

Section: B Numerical Results and Discussionmentioning

confidence: 99%

Impurity center in a semiconductor quantum ring in the presence of a radial electric field

2004

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The problem of an impurity electron in a quantum ring (QR) in the presence of a radially directed strong external electric field is investigated in detail. Both an analytical and a numerical approach to the problem are developed. The analytical investigation focuses on the regime of a strong wireelectric field compared to the electric field due to the impurity. An adiabatic and quasiclassical approximation is employed. The explicit dependencies of the binding energy of the impurity electron on the electric field strength, parameters of the QR and position of the impurity within the QR are obtained. Numerical calculations of the binding energy based on a finite-difference method in two and three dimensions are performed for arbitrary strengths of the electric field. It is shown that the binding energy of the impurity electron exhibits a maximum as a function of the radial position of the impurity that can be shifted arbitrarily by applying a corresponding wire-electric field. The maximal binding energy monotonically increases with increasing electric field strength. The inversion effect of the electric field is found to occur. An increase of the longitudinal displacement of the impurity typically leads to a decrease of the binding energy. Results for both low-and high-quantum rings are derived and discussed. Suggestions for an experimentally accessible set-up associated with the GaAs/GaAlAs QR are provided.

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“…In consequence, a good deal of information about various properties of that particular system has been gathered over the past years. However, a somewhat astonishing asymmetry may be observed: whereas a number of works have dealt with the planar hydrogenic atom subjected to the action of a magnetic field (the reader will find a comprehensive relevant bibliography in our recent works [3,4]), much less effort has been put to consider such an atom immersed in an electric field [1,[5][6][7][8][9][10][11][12][13][14] (cf. also Refs.…”

Section: Introductionmentioning

confidence: 99%

Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state

Szmytkowski

2018

Phys. Rev. A

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The second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian series expansion of the generalized Dirac-Coulomb Green function. A closedform analytical expression for the static dipole polarizability of that system is found. The formula involves a generalized hypergeometric function 3F2 with the unit argument. Numerical values of the polarizabilities for relativistic planar hydrogenic atoms with atomic numbers 1 Z 68 are provided in a tabular form. A simple formula for the polarizability of a nonrelativistic two-dimensional hydrogenic atom, reported previously by several other authors, is recovered from our result in the nonrelativistic limit.

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Two-dimensional neutral donors in electric fields

Cited by 4 publications

References 20 publications

Two-dimensional analogs of theH2+ion in stationary electric fields

Two-dimensional analogs of theH2+ion in stationary electric fields

Impurity center in a semiconductor quantum ring in the presence of a radial electric field

Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state

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