Variational studies of bound states of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>ion in a magnetic field

Larsen, David M.

doi:10.1103/physrevb.20.5217

Cited by 107 publications

(60 citation statements)

References 22 publications

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“…There exist a number of investigations on two-electron atoms in the literature [19][20][21][22][23][24][25][26][27][28][29]. The majority of them deals with the adiabatic regime in superstrong fields and the early works are mostly Hartree-Fock (HF) type calculations.…”

Section: Introductionmentioning

confidence: 99%

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Ground state of the carbon atom in strong magnetic fields

Ivanov

Schmelcher

1999

Phys. Rev. A

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The ground and a few excited states of the carbon atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35 · 10 9 T. With increasing field strength the ground state undergoes six transitions involving seven different electronic configurations which belong to three groups with different spin projections Sz = −1, −2, −3. For weak fields the ground state configuration arises from the field-free 1s 2 2s 2 2p02p−1, Sz = −1 configuration.With increasing field strength the ground state involves the four Sz = −2 configurations

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Section: Introductionmentioning

confidence: 99%

“…The majority of them deals with the adiabatic regime in superstrong fields and the early works are mostly Hartree-Fock (HF) type calculations. There are also several early variational calculations for the low-field domain [21,30,31]. HF calculations for arbitrary field strengths have been carried out in refs.…”

Section: Introductionmentioning

confidence: 99%

Ground state of the carbon atom in strong magnetic fields

Ivanov

Schmelcher

1999

Phys. Rev. A

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“…In this notation, the singlet ground state is (00, 00) because electrons are most tightly bound with zero angular momentum; the triplet ground state is (00, 0-1) because it is a state with the lowest angular momentum among all available states associated with the lowest Landau level. The state (00, 0-1) is a bound state only in the presence of a magnetic field [10,11,13]. The dipole-allowed transitions are those that conserve the total angular momentum, M=ml+m 2 (a good quantum number of the system).…”

Section: Results and Analysis Occupancy Process Of D-impuritiesmentioning

confidence: 99%

D⁻ Impurities in a Quasi-Two-Dimensional System: Statistics and Screening

Wang

Cheng³

et al. 1993

MRS Proc.

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Far infrared spectroscopic studies of electron-density-and magnetic-field-dependenceof manyelectron effects on silicon donor impurities confined in GaAs quantum wells are presented. At low excess electron densities, transitions from D-singlet and triplet states are observed. Temperature-and polarization-dependence measurements show that the relative absorption strengths of various spectroscopic features (D", D-, and CR) are in qualitative agreement with a statistical calculation in thermal equilibrium in high magnetic fields. At large excess electron densities, the "D" transition energy shifts to higher energy when electron density is increased, and the magnetic-field dependence of the transition energy exhibits discontinuities in slope at integer filling factors. The spectroscopic features and their relation to excess free carriers and the role of screening and correlation are presented and discussed.

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“…The symmetric combination of hydrogen-like factors exp(−λ i r i ) in equation (8b), takes into account the interactions of the two electrons with the donor, as was proposed in [1], and ϕ( r 1 , r 2 ) Table 1. The ground state energy of a D − center near a semiconductor-metal interface at different donor-interface distances d, calculated by using two different p(z i ) terms in the wavefunction, equation (7). In the last column we present the results for α = 0 and including the asymmetric e-e correlation term, equation (9), in the variational wavefunction.…”

Section: The Formalism and The Variational Wavefunctionmentioning

confidence: 99%

“…Theoretically, the D − center has been investigated using the variational method within the effective mass approach: (i) for the bulk case [7], (ii) the two-dimensional case [8,9], and (iii) for the superlattice case [10]. In a double-quantumwell device a neutral donor D 0 at the center of the quantum well in the presence of a magnetic field can bind a second electron in the other well (a spatially separated D − center) as shown in [11].…”

Section: Introductionmentioning

confidence: 99%

Two-photon resonance in a standing-wave field under conditions of longitudinal interaction with an atomic beam

Baklanov¹,

Dubetskiĭ²,

Ulybin³

1980

Sov. J. Quantum Electron.

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The ground state energy and the extent of the wavefunction of a negatively charged donor (D − ) located near a semiconductor-metal or a semiconductor-dielectric interface are obtained. We apply the effective mass approximation and use a variational two-electron wavefunction that takes into account the influence of all image charges that arise due to the presence of the interface, as well as the correlation between the two electrons bound to the donor. For a semiconductor-metal interface, the D − binding energy is enhanced for donor positions d > 1.5a B (a B is the effective Bohr radius) due to the additional attraction of the electrons with their images. When the donor approaches the interface (i.e. d < 1.5a B ) the D − binding energy drops and eventually it becomes unbound. For a semiconductor-dielectric (or a semiconductor-vacuum) interface the D − binding energy is reduced for any donor position as compared to the bulk case and the system becomes rapidly unbound when the donor approaches the interface.

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Variational studies of bound states of theH−ion in a magnetic field

Cited by 107 publications

References 22 publications

Ground state of the carbon atom in strong magnetic fields

Ground state of the carbon atom in strong magnetic fields

D⁻ Impurities in a Quasi-Two-Dimensional System: Statistics and Screening

Two-photon resonance in a standing-wave field under conditions of longitudinal interaction with an atomic beam

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Variational studies of bound states of theH−ion in a magnetic field

Cited by 107 publications

References 22 publications

Ground state of the carbon atom in strong magnetic fields

Ground state of the carbon atom in strong magnetic fields

D− Impurities in a Quasi-Two-Dimensional System: Statistics and Screening

Two-photon resonance in a standing-wave field under conditions of longitudinal interaction with an atomic beam

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Product

Resources

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D⁻ Impurities in a Quasi-Two-Dimensional System: Statistics and Screening