Electronic structures of zero-dimensional quantum wells

Xia, Jian‐Bai

doi:10.1103/physrevb.40.8500

Cited by 270 publications

(138 citation statements)

References 21 publications

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“…Here we have only one s-orbital per atom so that the local basis is restricted to the Γ 6 symmetry: |R H , u 6 m . Finally, in the symmetrized basis, the total Hamiltonian becomes block diagonal, each block corresponding to a given symmetry Γ i (i = 6,7,8). This implies a substantial reduction of the size of the matrix to diagonalize.…”

Section: 12mentioning

confidence: 99%

“…Early theoretical studies 4,5 were based on the effective mass approximation (EMA), which was progressively refined by taking into account the degeneracy of the valence band. [6][7][8][9] Generally speaking, the EMA overestimates the confinement energy in small QD's. Lippens and Lannoo 10 reported a tightbinding (TB) calculation of the QD energy gap based on the empirical sp 3 s * model, previously developed by Vogl et al 11 for bulk semiconductors.…”

Section: Introductionmentioning

confidence: 99%

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Electronic structure of CdTe nanocrystals: a tight-binding study

Pérez-Conde

Bhattacharjee

1999

Solid State Communications

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We present a symmetry-based calculation of the electronic structure of a compound semiconductor quantum dot (QD) in the sp 3 s * tight-binding model including the spin-orbit interaction. The Hamiltonian matrix is diagonalized exactly for CdTe QD sizes up to 60Å. The surface dangling bonds are passivated by hydrogen through a careful analysis of the density of states and wave functions. The calculated size dependence of the energy gap shows a reasonable agreement with the available experimental data. Our symmetry analysis indicates that, in contrast with a reported prediction of the three-band effective-mass model, the fundamental interband transition remains dipole-allowed in CdTe nanocrystals.

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Section: 12mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electronic structure of CdTe nanocrystals: a tight-binding study

Pérez-Conde

Bhattacharjee

1999

Solid State Communications

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“…32,33 The electrostatic quadrupole moment for a spherical quantum dot with radius a and a high-bandgap cap is…”

Section: A Quantum Dotsmentioning

confidence: 99%

Dynamics of coupled qubits interacting with an off-resonant cavity

et al. 2006

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We study a model for a pair of qubits which interact with a single off-resonant cavity mode and, in addition, exhibit a direct inter-qubit coupling. Possible realizations for such a system include coupled superconducting qubits in a line resonator as well as exciton states or electron spin states of quantum dots in a cavity. The emergent dynamical phenomena are strongly dependent on the relative energy scales of the inter-qubit coupling strength, the coupling strength between qubits and cavity mode, and the cavity mode detuning. We show that the cavity mode dispersion enables a measurement of the state of the coupled-qubit system in the perturbative regime. We discuss the effect of the direct inter-qubit interaction on a cavity-mediated two-qubit gate. Further, we show that for asymmetric coupling of the two qubits to the cavity, the direct inter-qubit coupling can be controlled optically via the ac Stark effect.

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“…In addition to spherical clusters, the case of cylindrical shaped micro-crystals has been carefully studied [17,[22][23][24], as well as the case of quantum wires [25,26]. More sophisticated models, which consider non-parabolic valence and/or conduction band(s), have been also developed [27][28][29][30][31]. Modern approaches and how they can be applied to large structures and compared to experiments are discussed in the book [32] as well as in the recent review article [33].…”

Section: Introductionmentioning

confidence: 99%

Stark effect of interactive electron–hole pairs in spherical semiconductor quantum dots

Billaud

Picco

Truong

2009

J. Phys.: Condens. Matter

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Abstract. We present a theoretical approach, based on the effective mass approximation model, on the quantum-confinement Stark effects for spherical semiconducting quantum dots in the regime of strong confinement of interactive electron-hole pair and limiting weak electric field. The respective roles of Coulomb potential and polarization energy are investigated in details. Under reasonable physical assumptions, analytical calculations can be performed. They show that the Stark shift is a quadratic function of the electric field amplitude in this regime. The computed numerical values obtained from this approach are found to be in good agreement with experimental data over a significant domain of quantum dot sizes.

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Electronic structures of zero-dimensional quantum wells

Cited by 270 publications

References 21 publications

Electronic structure of CdTe nanocrystals: a tight-binding study

Electronic structure of CdTe nanocrystals: a tight-binding study

Dynamics of coupled qubits interacting with an off-resonant cavity

Stark effect of interactive electron–hole pairs in spherical semiconductor quantum dots

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