串联耦合共振隧穿二极管中的多稳态与状态切换
Multistability and state-switching in series-coupled resonant tunneling diodes
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中文总结 AI 辅助
本文研究串联耦合共振隧穿二极管（RTD）的动力学特性，分析耦合与非均匀性对解结构的影响，提出共存稳态间受控切换方案，揭示其对称结构，为神经形态网络运行奠定基础。
中文摘要 AI 辅助
嵌入电路的共振隧穿二极管（RTD）具有类神经元响应特性，是神经形态应用的理想候选器件。本文研究串联耦合RTD的动力学响应，系统分析耦合作用与非均匀性对解结构的影响；进一步提出共存稳态间受控切换的方案，可在这类电路中实现可调谐存储单元。耦合RTD系统具有丰富的分岔结构，在对称解与反对称解之间展现不同程度的多稳态，采用数值延拓方法分析极限环分支及其对系统参数的依赖关系，核心关注对称性的作用：两个相同RTD构成的系统具有ℤ₂交换对称性，该对称性支配对称破缺分岔与多稳态的出现；分析进一步推广到N个耦合RTD的情况，揭示其底层Sₙ对称结构对平衡分支组织的影响，为神经形态网络运行奠定基础。
英文摘要
Resonant tunneling diodes (RTDs) embedded in an electrical circuit are known for their neuron-like response characteristics, which makes them promising candidates for neuromorphic applications. This paper investigates the dynamical response of series-coupled RTDs and systematically analyzes the impact of coupling and inhomogeneities on the solution structure. We further propose a scheme for controlled switching between coexisting stable states which allows to realize tunable memory elements in these circuits. The coupled RTD system exhibits a rich bifurcation structure, showing different degrees of multistability between symmetric and antisymmetric solutions. Limit-cycle branches and their dependence on the system parameters are analyzed using numerical continuation methods. A central focus is placed on the role of symmetry. For two identical RTDs, the system possesses a $\mathbb{Z}_2$ exchange symmetry, which governs the emergence of symmetry-breaking bifurcations and multistable states. The analysis is further generalized to $N$ coupled RTDs, revealing the underlying $S_N$ symmetry structure and its influence on the organization of equilibrium branches, paving the way for neuromorphic network operation.
