Controllable bistabilities and bifurcations in a photoexcited GaAs/AlAs superlattice

Luo, Kun; Teitsworth, Stephen W.; Kostial, H.; Grahn, H. T.; Ohtani, Naoki

doi:10.1063/1.124199

Cited by 16 publications

(6 citation statements)

References 9 publications

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“…A different kind of bistability is observed when the sample exhibits current self-oscillations [158], which will be discussed in section 5. Furthermore, a bistability between the static and oscillating states of EFDs is also possible [159] and will also be discussed in section 5.…”

Section: Bi-and Multistabilitymentioning

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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Section: Bi-and Multistabilitymentioning

confidence: 99%

Non-linear dynamics of semiconductor superlattices

2005

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“…The evolution from a static state at low carrier densities to an oscillating state at higher carrier densities was demonstrated in an undoped, photo-excited SL by increasing the photo-excitation intensity. 8 An investigation of the bifurcation diagrams for undoped, photo-excited SLs showed the existence of a transition between periodic and chaotic oscillations. 9 For a detailed review of the nonlinear static and dynamical properties of doped and undoped superlattices, see Ref.…”

Section: Introductionmentioning

confidence: 99%

Photoexcited semiconductor superlattices as constrained excitable media: Motion of dipole domains and current self-oscillations

2010

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A model for charge transport in undoped photoexcited semiconductor superlattices, which includes the dependence of the electron-hole recombination on the electric field and on the photoexcitation intensity through the field-dependent recombination coefficient, is proposed and analyzed. Under dc voltage bias and high photoexcitation intensities, there appear self-sustained oscillations of the current due to a repeated homogeneous nucleation of a number of charge dipole waves inside the superlattice. In contrast to the case of a constant recombination coefficient, nucleated dipole waves can split for a field-dependent recombination coefficient in two oppositely moving dipoles. The key for understanding these unusual properties is that these superlattices have a unique static electric-field domain. At the same time, their dynamical behavior is akin to the one of an extended excitable system: an appropriate finite disturbance of the unique stable fixed point may cause a large excursion in phase space before returning to the stable state and trigger pulses and wave trains. The voltage bias constraint causes new waves to be nucleated when old ones reach the contact.

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“…Bistability between different stable I-V branches have been widely investigated in simulations and experiments. 1,2,19,20,40 Figure 7(a) depicts the time-averaged I-V curves in both sweep-up (squares) and sweep-down (triangles) directions in the DVB region B shown in Fig. 2.…”

Section: Bistability Between Different Period Branchesmentioning

confidence: 99%

“…[1][2][3][4] For weakly coupled doped SLs, the main mechanism of vertical charge transport is sequential tunneling between adjacent SL quantum wells. [5][6][7][8][9][10][11] A great richness of nonlinear transport behaviors has been observed in weakly coupled SLs, including the formation of stationary electrical field domains (EFDs), [12][13][14][15][16][17][18][19][20] self-sustained current oscillations (traveling EFDs), [21][22][23][24][25][26][27] and driven and undriven chaos. [28][29][30][31][32][33] These dynamic behaviors depend on the applied voltage, SL configuration, boundary conditions, doping density, sample temperature, and other control parameters.…”

Section: Introductionmentioning

confidence: 99%

Discrete self-oscillation period branches observed in semiconductor superlattices

Wang

Zheng

et al. 2011

Phys. Rev. B

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We investigate the self-sustained current oscillation of a weakly coupled semiconductor superlattice in the dynamical voltage band using a microscopic sequential tunneling model. With the voltage as a control parameter, two types of branches of current oscillation period versus voltage have been observed, which correspond to various oscillation scenarios. The first branch type consists of a series of period branches in accordance with how many charge dipoles need to be created at the emitter side to trigger a dipole-tripole oscillation scenario. For the second branch type, charge dipoles are generated periodically at the emitter, but all of them fail to develop completely and die out, thereby leading to a low-period oscillation scenario without the dipole-tripole process. The bistability between different branches is also observed by voltage up-sweeping and down-sweeping.

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Controllable bistabilities and bifurcations in a photoexcited GaAs/AlAs superlattice

Cited by 16 publications

References 9 publications

Non-linear dynamics of semiconductor superlattices

Non-linear dynamics of semiconductor superlattices

Photoexcited semiconductor superlattices as constrained excitable media: Motion of dipole domains and current self-oscillations

Discrete self-oscillation period branches observed in semiconductor superlattices

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