Recursive Green-function study of Wannier - Stark effect in tight-binding systems

Davison, S. G.; English, R.A.; Mišković, Z. L.; Goodman, Frank O.; Amos, A. T.; Burrows, B. L.

doi:10.1088/0953-8984/9/30/006

Cited by 23 publications

(30 citation statements)

References 35 publications

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“…The self-similarity of the energy spectrum in the 1D case [5,6] is not obvious due to the d-function character of the Stark ladder levels. Figure 4 illustrates the case of a 2D crystal.…”

Section: Resultsmentioning

confidence: 96%

“…1. The construction of a 2D-LDOS: a) plot of the one-dimensional LDOS in presence of a field (solid line) and without a field (dash-dotted curves); b) plot of the corresponding two-dimensional LDOS calculated as a numerical convolution field [5] we are able to obtain easily some further results. For instance in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…A numerical real-space analysis of Wannier-Stark resonances is presented in [4] for 1D one-and two-band crystals within the TB model. The Wannier-Stark effect in electrified 1D tight-binding systems is studied in [5] and an analytical solution for the LDOSs is found. A finite chain with one s-orbital per atom is considered in a semi-empirical tight-binding model [6] and the influence of a constant electric field (applied at the ends of the chain) on the energy spectrum is investigated.…”

mentioning

confidence: 99%

“…Since the 1D-LDOS in the presence of an external electric field is known [5] there is no problem to construct the solution for the 2D and 3D cases. An alternative way to perform convolutions is to multiply the Fourier transforms and then to take the inverse Fourier of the result.…”

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confidence: 99%

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Local Density of States for Solids in an Electric Field

Losev

Vlaev

Mishonov

2000

phys. stat. sol. (b)

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The local densities of states (LDOSs) in electrified simple cubic crystals have been studied within the semi‐empirical tight‐binding (TB) model. One‐dimensional (1D), two‐dimensional (2D) and three‐dimensional (3D) cases are investigated, taking into account first neighbours and one band, when an external constant electric field with arbitrary direction is applied. The increasing strength of the field in a given direction turns smoothly the LDOSs of an n‐dimensional crystal (n = 1, 2, 3) into the LDOSs of an (n — 1)‐dimensional crystal. The Wannier‐Stark ladder phenomenon for crystals of different dimensionalities is discussed and the role of the electric field strength for the effective crystal dimension is assessed. The LDOSs are calculated by means of a new convolution technique which allows to compute the results faster than any conventional method.

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“…The self-similarity of the energy spectrum in the 1D case [5,6] is not obvious due to the d-function character of the Stark ladder levels. Figure 4 illustrates the case of a 2D crystal.…”

Section: Resultsmentioning

confidence: 96%

Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Local Density of States for Solids in an Electric Field

Losev

Vlaev

Mishonov

2000

phys. stat. sol. (b)

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“…28 and formally, our problem is similar to that of an electron moving on a 1D tightbinding chain in the presence of an external electric field. 29 The final explicit expression for the current in real space for a set of impurity charges ͕Q R ͖ located at positions ͕R͖ is…”

Section: Electron and Hole Fluxesmentioning

confidence: 99%

Magnetic field effects on optical and transport properties inInAs∕GaAsquantum dots

et al. 2006

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A photoluminescence study of self-assembled InAs/ GaAs quantum dots under the influence of magnetic fields perpendicular and parallel to the dot layer is presented. At low temperatures, the magnetic field perpendicular to the dot layer alters the in-plane transport properties due to localization of carriers in wetting layer ͑WL͒ potential fluctuations. Decreased transport in the WL results in a reduced capture into the quantum dots and consequently a weakened dot-related emission. The effect of the magnetic field exhibits a considerable dot density dependence, which confirms the correlation to the in-plane transport properties. An interesting effect is observed at temperatures above approximately 100 K, for which magnetic fields, both perpendicular and parallel to the dot layer, induced an increment of the quantum dot photoluminescence. This effect is ascribed to the magnetic confinement of the exciton wave function, which increases the probability for carrier capture and localization in the dot, but affects also the radiative recombination with a reduced radiative lifetime in the dots under magnetic compression.

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Modelling Electronic Spectra of Crystals in Electric Fields with Various Orientations

Losev

Vlaev

2001

phys. stat. sol. (b)

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The present work considers the electronic spectra of a simple two-dimensional (2D) cubic crystal and a three-dimensional (3D) GaAs crystal when a constant electric field is applied. The 2D case is treated within the empirical tight-binding (TB) model, taking one s-orbital per atom and accounting for the interactions with neighbours up to fourth order. For the 3D case a semiempirical sp 3 s * TB model is used, taking into account the spin and first neighbours. The local densities of states (LDOSs) have been calculated for different field intensities, showing that for a sufficiently strong field the 2D LDOS turns into the 1D LDOS corresponding to chains perpendicular to the field orientation. This is a novel observation achieved through the use of neighbours farther than the first. The 3D LDOS of a GaAs crystal projected by a strong field on the [001] direction is found to coincide with the 2D LDOS of an isolated atomic layer.

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Recursive Green-function study of Wannier - Stark effect in tight-binding systems

Cited by 23 publications

References 35 publications

Local Density of States for Solids in an Electric Field

Local Density of States for Solids in an Electric Field

Magnetic field effects on optical and transport properties inInAs∕GaAsquantum dots

Modelling Electronic Spectra of Crystals in Electric Fields with Various Orientations

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