Calculated quasi-eigenstates and quasi-eigenenergies of quantum well superlattices in an applied electric field

Harwit, Alex; Harris, James S.; Kapitulnik, A.

doi:10.1063/1.337739

Cited by 75 publications

(17 citation statements)

References 10 publications

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“…The energy levels and the envelope functions of the subbands were calculated by the tunneling resonance method utilizing the transfer matrix technique. 37) The band nonparabolicity parameter NP was assumed to be 0.187 eV À138) both for GaN and AlN. After the charge distribution was calculated assuming a Fermi distribution at 300 K, Poisson's equation was solved.…”

Section: Effects Of the Electric Field And Interfacementioning

confidence: 99%

Calculation of Near-Infrared Intersubband Absorption Spectra in GaN/AlN Quantum Wells

Suzuki

Iizuka

Kaneko

2003

Jpn. J. Appl. Phys.

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Intersubband transitions in GaN multiple quantum wells (MQW) are expected to be applicable to 1-Tb/s all-optical switches. The near-infrared (1.33-2.15 mm) intersubband absorption spectra of GaN/AlN MQW samples have been theoretically investigated. The measured spectra have been well explained by a model in which zero-voltage drop across one quantum well period and 0.5-to 0.75-nm-thick interface graded layers were assumed. The effective electric field in the well was estimated to be greater than 5 MV/cm. For thick wells, absorption spectra are sensitive to the electric field, and hence to the strain, barrier thickness, and doping level. In thin wells, the effect of the electric field is negligible, but the quality of the interface affects the spectra. The calculation model has been applied to the design of coupled quantum wells (CQW), where faster optical response is expected. Higher-order intersubband absorption at wavelengths of less than 1 mm is also expected to be enhanced in CQWs.

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Section: Effects Of the Electric Field And Interfacementioning

confidence: 99%

Calculation of Near-Infrared Intersubband Absorption Spectra in GaN/AlN Quantum Wells

Suzuki

Iizuka

Kaneko

2003

Jpn. J. Appl. Phys.

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“…[25][26][27] The entire system ͑see Fig. 1͒ is partitioned into layers sufficiently thin so that in each layer the flat potential approximation is used to determine the wave propagation vectors and full-zone basis expansion coefficients.…”

Section: Construction Of the Semiconductor Transfer Matricesmentioning

confidence: 99%

“…All of the above features are incorporated into the transmission coefficient by way of the transfer-matrix method. [25][26][27] A brief summary of the key results was presented in Ref. 28. In Sec.…”

Section: Introductionmentioning

confidence: 99%

Theory of ballistic electron emission microscopy

Pearson

Sham

2001

Phys. Rev. B

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A theory of ballistic electron emission microscopy is presented that incorporates constant-tunnel-current feedback and models the band-structure and space-charge effects on the electron transmission. The computation is beyond the effective-mass approximation but short of being from first principles. The transmission coefficient includes detailed symmetry treatments of the ⌫-, L-, and X-point semiconductor conduction channels and the three-dimensional k-space current injection dependency. This approach naturally leads to the inclusion of multiple current channels, i.e., simultaneous inclusion of several propagating and evanescent bands of various symmetry types. We investigate the effects of the model parameters on the I-V spectra and compare our predictions to experiment, yielding fairly good agreement. We also compare theoretical and experimental Au/GaAs͑001͒ dI/dV data and find that the L point does not contribute to an observable threshold and that the corresponding experimental feature is due instead to band-structure effects.

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“…It is very useful to apply to bulk semiconductors and superlattices for calculating the energy bands in single crystal materials (Kolbas and Holonyak, 1984;Harwit and Harris, 1986;Jun, 2004). According to the continuity of the wave function across the potential boundaries, one can obtain a set of four simultaneous linear homogeneous equations, which are expressible in the form of a 4 × 4 matrix (Cho and Prucnal, 1987).…”

Section: Introductionmentioning

confidence: 99%

Computer‐aided evolution for solving the analytic Kronig‐Penny model

Liao

et al. 2008

Journal of the Chinese Institute of Engineers

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The Kronig-Penney model consists of a periodic potential function, which is used to derive the concepts of allowed and forbidden energy bands. Here, to circumvent the tedious evolution, it is helpful to use computer methods to derive the textbook equation of the analytic Kronig-Penney model. The hierarchical methodology with the shorter symbols can effectively reduce the complication in the expression of the 4 × 4 matrix. By defining the symbol sequence, we can easily reduce terms by cancellation. With these methods and computer-aided evolution, we can derive the Kronig-Penney model from the matrix expression to the textbook form without the extremely laborious evolution.

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Calculated quasi-eigenstates and quasi-eigenenergies of quantum well superlattices in an applied electric field

Cited by 75 publications

References 10 publications

Calculation of Near-Infrared Intersubband Absorption Spectra in GaN/AlN Quantum Wells

Calculation of Near-Infrared Intersubband Absorption Spectra in GaN/AlN Quantum Wells

Theory of ballistic electron emission microscopy

Computer‐aided evolution for solving the analytic Kronig‐Penny model

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