Limit cycle theory of temporal current self-oscillations in sequential tunneling of superlattices

2002/11/15 by X. R. Wang, Wang, X. R., Z. Z. Sun +7
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear Dynamics and Pattern Formation #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0211306

4 pages and 5 figures; v2: presentation improvement

openalex publication_date 2002/11/15 · arxiv created 2002/11/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A unified theory of the temporal current self-oscillations is presented. We establish these oscillations as the manifestations of limit cycles, around unstable steady-state solutions caused by the negative differential conductance. This theory implies that both the generation and the motion of an electric-field domain boundary are universal in the sense that they do not depend on the initial conditions. Under an extra weak ac bias with a frequency ω_ac, the frequency must be either ω_ac or an integer fractional of ω_ac if the tunneling current oscillates periodically in time, indicating the periodic doubling for this non-linear dynamical system

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