Recent progress in electronic properties of quasi-two-dimensional systems

Stern, Frank

doi:10.1016/0039-6028(76)90160-6

Cited by 13 publications

(4 citation statements)

References 84 publications

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“…It is of some interest to note from equation ( 9) that the effective Hamiltonian (10) contains the wavefunction of the electron ϕ(r). Substituting equation ( 9) into equation (10), transforming the summation k into an integral ν N /(2π) N dk, integrating over all angles analytically, followed by using the variable transformation ϕ(r) = α N 2 ψ(αr), x = αr and E = E 0 α 2 , the Schrödinger equation for the reduced electron wavefunction ψ(x) is finally obtained as follows:…”

Section: Integro-differential Equationsmentioning

confidence: 99%

“…It is indeed interesting and holds promise. In recent years, polaron effects have been observed in low-dimensional systems [7], some physical problems have been mapped in twodimensional polarons [8] and it has been technologically possible to confine the electrons in one direction [9] (quantum wires) and in two directions [10] (such as GaAs-Al x Ga 1−x As heterostructures).…”

Section: Introductionmentioning

confidence: 99%

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A new variational calculation for N-dimensional polarons in the strong-coupling limit

Chen

Minghu

Wang

et al. 1996

J. Phys.: Condens. Matter

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A novel variational approach is presented for the calculation of the ground-state energy of the polaron in arbitrary N dimensions in the strong-coupling limit. By using the phonon coherent state to represent the wavefunction of phonons, a self-consistent integro-differential equation for the electron wavefunction is derived. The calculated results of the ground-state energy for N = 1, 2 and 3 agree well with the best results in the literature. It is also found that, for arbitrary N, the present results are less than the Feynman path integral ones by small percentages. It is proposed that this approach should be universal for systems involving polarons in the strong-coupling regime.

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Section: Integro-differential Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A new variational calculation for N-dimensional polarons in the strong-coupling limit

Chen

Minghu

Wang

et al. 1996

J. Phys.: Condens. Matter

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“…Impurity-limited conductivity of a quasi-two-dimensional electron gas (quasi-2DEG) is usually calculated by means of a quasi-classical 2D Boltzmann equation (see, e.g. [1,2,3,4,5,6]) and references therein). Quantum corrections to the 2D conductivity are assumed to be only due to the weak localization or interaction mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Quantum Effects in the Conductivity of a Quasi 2D Electron Gas

Levanda

Fleurov

2003

Recent Trends in Theory of Physical Phenomena in High Magnetic Fields

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We consider the role of the third dimension in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron density distribution, then scattering to higher levels of the confinement potential becomes important, which causes a broadening of the current flow profile. The resulting conductivity is larger than that obtained from a 2D Boltzmann equation. A magnetic field, parallel to the driving electric field, effectively competes with the confining potential and, in the limit of a strong magnetic field, it is the field, which largely shapes the electron and current profile, rather than the potential. As a result the current flow profile increases and a negative longitudinal magnetoresistivity of the quasi 2D electron gas may be observed.

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“…Conductivity of a quasi-two-dimensional electron gas (Q2DEG) is usually calculated by means of a quasi-classical 2D Boltzmann equation (see, e.g., Stern and Howard 1967, Siggia and Kwok 1970, Stern 1976, Ando et al 1982, Cantrell and Butcher 1985, Tang and Butcher 1988a, 1988b, Das Sarma and Hwang 1999. Quantum corrections to the 2D conductivity are assumed to be only due to the weak localization or interaction mechanisms (see, e.g., the review by Kawaji 1994).…”

Section: Introductionmentioning

confidence: 99%

Quantum effects in the electron current flow in a quasi-two-dimensional electron gas

Levanda

Fleurov

2002

J. Phys.: Condens. Matter

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We consider the role of the third dimension in the conductivity of a quasi-two-dimensional electron gas (Q2DEG). If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron density distribution, then virtual scattering to higher levels of the confinement potential becomes important, which causes a broadening of the current flow profile. The resulting conductivity is larger than that obtained from a quasi-classical two-dimensional Boltzmann equation. A magnetic field, parallel to the driving electric field, effectively adds strength to the confining potential. As a result, the width of the current flow profile decreases and a positive longitudinal magnetoresistivity of the Q2DEG is expected.

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Recent progress in electronic properties of quasi-two-dimensional systems

Cited by 13 publications

References 84 publications

A new variational calculation for N-dimensional polarons in the strong-coupling limit

A new variational calculation for N-dimensional polarons in the strong-coupling limit

Quantum Effects in the Conductivity of a Quasi 2D Electron Gas

Quantum effects in the electron current flow in a quasi-two-dimensional electron gas

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