Sequential excited-to-excited states resonant tunneling and electric field domains in long period superlattices

Mityagin, Yu. A.; Murzin, V. N.; Efimov, Yu. A.; Rasulova, G. K.

doi:10.1063/1.118732

Cited by 10 publications

(8 citation statements)

References 5 publications

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“…E.g., in Refs. [19,66,67,182,174,185] one can find similar results like those presented in this section, where varios types of local current density functions are applied.…”

Section: Numerical Resultssupporting

confidence: 82%

“…This condition has been applied to superlattice transport in [194] and seems to be in good agreement with data from a variety of strongly coupled superlattices [195]. Nevertheless the condition for a stationary front (c = 0) is only valid for a specific current, as the functions c(I) are strictly monotonic for the continuous drift diffusion model (174). This is in contrast to the results shown in Fig.…”

Section: Continuum Limit and Fronts Traveling Backwardssupporting

confidence: 68%

“…In contrast to the Gunn diode, semiconductor superlattices frequently exhibit the formation of stable stationary domains which lead to a characteristic saw-tooth pattern in the currentvoltage characteristic (see Fig. 21a) as observed by many different groups [16,17,123,124,[170][171][172][173][174]. (See also [175,176] for domain formation in a parallel magnetic field.)…”

Section: Formation Of Field Domainsmentioning

confidence: 99%

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Semiconductor superlattices: a model system for nonlinear transport

2002

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Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and sequential tunneling, are reviewed in detail. Their relation to each other is clarified by a comparison with a quantum transport model based on nonequilibrium Green functions. It is demonstrated how the occurrence of negative differential conductivity causes inhomogeneous electric field distributions, yielding either a characteristic sawtooth shape of the current-voltage characteristic or self-sustained current oscillations. An additional ac-voltage in the THz range is included in the theory as well. The results display absolute negative conductance, photon-assisted tunneling, the possibility of gain, and a negative tunneling capacitance. 2 Notation and list of symbolsThroughout this work we consider a superlattice, which is grown in the z direction. Vectors within the (x, y) plane parallel to the interfaces are denoted by bold face letters k, r, while vectors in 3 dimensional space are r, k, . . . . All sums and integrals extend from −∞ to ∞ if not stated otherwise.The following relations are frequently used in this work and are given here for easy reference:

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“…E.g., in Refs. [19,66,67,182,174,185] one can find similar results like those presented in this section, where varios types of local current density functions are applied.…”

Section: Numerical Resultssupporting

confidence: 82%

Section: Continuum Limit and Fronts Traveling Backwardssupporting

confidence: 68%

Section: Formation Of Field Domainsmentioning

confidence: 99%

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Semiconductor superlattices: a model system for nonlinear transport

2002

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“…Then, the Esaki-Tsu drift velocity in equation ( 76) has a maximum at v M = lI 1 (δ) 1 /[4hτ e I 0 (δ)] for a temperature-independent value of the field, F M , given by equation ( 63) [36]. If ν imp = 0 and local averages are ignored (semiclassical limit), the diffusion coefficient in equation (76)…”

Section: Miniband Transportmentioning

confidence: 99%

“…Then, the resulting drift velocity can be inserted in the discrete drift model. This approach has been followed by other authors to analyse the coexistence between more than two EFDs [76] and the dependence of non-linear transport on an applied magnetic field [77].…”

Section: Sls With Several Minibands and Sequential Resonant Tunnellingmentioning

confidence: 99%

Non-linear dynamics of semiconductor superlattices

2005

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In the last decade, non-linear dynamical transport in semiconductor superlattices (SLs) has witnessed significant progress in theoretical descriptions as well as in experimentally observed non-linear phenomena. However, until now, a clear distinction between non-linear transport in strongly and weakly coupled SLs was missing, although it is necessary to provide a detailed description of the observed phenomena. In this review, strongly coupled SLs are described by spatially continuous equations and display self-sustained current oscillations due to the periodic motion of a charge dipole as in the Gunn effect for bulk semiconductors. In contrast, weakly coupled SLs have to be described by spatially discrete equations. Therefore, weakly coupled SLs exhibit a more complex dynamical behaviour than strongly coupled ones, which includes the formation of stationary electric field domains, pinning or propagation of domain walls consisting of a charge monopole, switching between stationary domains, self-sustained current oscillations due to the recycling motion of a charge monopole and chaos. This review summarizes the existing theories and the experimentally observed non-linear phenomena for both types of semiconductor SLs.

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Vertical transport and domain formation in multiple quantum wells

Wacker

1998

Theory of Transport Properties of Semiconductor Nanostructures

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In this book article effects related to the vertical transport in weakly coupled multiple quantum wells are reviewed. A self-contained microscopical model for the calculation of the well-to-well currents without any fittings parameters is presented. The model exhibits the well-known peaks in the current-field relation in quantitative agreement with experiments. This local current-field relation is used as an input for the calculation of the transport in the extended structure consisting of many periods. Here both the formation of stationary field domains as well as self-sustained current oscillations are found in good agreement with experimental data. The underlying physics of these nonlinear phenomena is discussed in detail.

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Sequential excited-to-excited states resonant tunneling and electric field domains in long period superlattices

Abstract: Articles you may be interested inFrequency multiplication of microwave radiation by propagating space-charge domains in a semiconductor superlattice Appl.

Cited by 10 publications

References 5 publications

Semiconductor superlattices: a model system for nonlinear transport

Semiconductor superlattices: a model system for nonlinear transport

Non-linear dynamics of semiconductor superlattices

Vertical transport and domain formation in multiple quantum wells

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