Lateral current density fronts in globally coupled bistable semiconductors with S- or Z-shaped current voltage characteristics

Meixner, M.; Rodin, Pavel; Schöll, Eckehard; Wacker, A.

doi:10.1007/s100510050019

Cited by 55 publications

(39 citation statements)

References 3 publications

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“…Already without delay, this system has been noted for its high multistability of stationary domain states [Kastrup et al, 1994[Kastrup et al, , 1996Prengel et al, 1994], and bistability or higher multistability has been found in many other semiconductor nanostructures, see e.g. Meixner et al [2000]; Schöll [2001].…”

Section: Discussionmentioning

confidence: 99%

Delay-Induced Multistability Near a Global Bifurcation

Hizanidis

Aust

Schöll

2008

Int. J. Bifurcation Chaos

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We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node. Delay renders the phase space infinite-dimensional and creates multistability of periodic orbits and the fixed point. Homoclinic bifurcations, period-doubling and saddle-node bifurcations of limit cycles are found in accordance with Shilnikov's theorems.

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Section: Discussionmentioning

confidence: 99%

Delay-Induced Multistability Near a Global Bifurcation

Hizanidis

Aust

Schöll

2008

Int. J. Bifurcation Chaos

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“…For a certain voltage there exists a front with zero velocity. However, similar to uniform states on the middle branch, these stationary nonuniform states turn out to be unstable for any conventional external circuit with positive load [7].…”

Section: Introductionmentioning

confidence: 96%

<title>From bistability to spatio-temporal chaos in a resonant-tunneling diode</title>

et al. 2002

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Charge accumulation in the quantum-well of a double-barrier resonant-tunneling diode (DBRT) may result in bistability that provides a basis for formation of lateral current-density patterns. A typical pattern expected to appear is a current density front. Such fronts correspond to switching transitions and generally can not be stabilized by a conventional external circuit. In this paper we discuss formation and stabilization of stationary current density patterns in bistable DBRT. We demonstrate that the intrinsic dynamics of the DBRT can lead to the onset of regular or chaotic spatio-temporal oscillations if an attempt to stabilize unstable current density patterns by means of a simple control ioop is undertaken.

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“…It has been pointed out that the bistability provides a basis for formation of lateral current density patterns like traveling current density fronts [3][4][5][6] . Once triggered, such a front leads to switching of the structure between the on-and off-state, depending on the applied voltage [4][5][6][7] . Front propagation in the DBRT provides a unique example of nonlinear pattern formation in a system with quantum transport.…”

Section: Introductionmentioning

confidence: 99%

“…Recent theoretical work [4][5][6][7][8][9] has essentially focused on the qualitative behavior of current density fronts, whereas the possibility of their experimental observation crucially depends on quantitative parameters, first of all on the front propagation velocity and the front width. This is due to the limits of temporal resolution and finite lateral dimensions of DBRT structures.…”

Section: Introductionmentioning

confidence: 99%

Lateral current density fronts in asymmetric double-barrier resonant-tunneling structures

Rodin

Schoell

2003

Journal of Applied Physics

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We present a theoretical analysis and numerical simulations of lateral current density fronts in bistable resonant-tunneling diodes with Z-shaped current-voltage characteristics. The bistability is due to the charge accumulation in the quantum well of the double-barrier structure. We focus on asymmetric structures in the regime of sequential incoherent tunneling and study the dependence of the bistability range, the front velocity and the front width on the structure parameters. We propose a sectional design of a structure that is suitable for experimental observation of front propagation and discuss potential problems of such measurements in view of our theoretical findings. We point out the possibility to use sectional resonant-tunneling structures as controllable three-terminal switches.

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Lateral current density fronts in globally coupled bistable semiconductors with S- or Z-shaped current voltage characteristics

Cited by 55 publications

References 3 publications

Delay-Induced Multistability Near a Global Bifurcation

Delay-Induced Multistability Near a Global Bifurcation

<title>From bistability to spatio-temporal chaos in a resonant-tunneling diode</title>

Lateral current density fronts in asymmetric double-barrier resonant-tunneling structures

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