中国物理B ›› 2015, Vol. 24 ›› Issue (6): 68402-068402.doi: 10.1088/1674-1056/24/6/068402

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Toward the complete relational graph of fundamental circuit elements

尚大山, 柴一晟, 曹则贤, 陆俊, 孙阳   

  1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2015-04-22 出版日期:2015-06-05 发布日期:2015-06-05
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11227405, 11374347, 11274363, and 11474335) and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB07030200).

Toward the complete relational graph of fundamental circuit elements

Shang Da-Shan (尚大山), Chai Yi-Sheng (柴一晟), Cao Ze-Xian (曹则贤), Lu Jun (陆俊), Sun Young (孙阳)   

  1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2015-04-22 Online:2015-06-05 Published:2015-06-05
  • Contact: Shang Da-Shan, Chai Yi-Sheng, Sun Young E-mail:youngsun@iphy.ac.cn
  • About author:84.30.Bv; 85.70.Ay; 85.90.+h; 75.85.+t
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11227405, 11374347, 11274363, and 11474335) and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB07030200).

摘要:

A complete and harmonized fundamental circuit relational graph with four linear and four memory elements is constructed based on some newly defined elements, which provides a guide to developing novel circuit functionalities in the future. In addition to resistors, capacitors, and inductors, which are defined in terms of a linear relationship between charge q, current i, voltage v, and magnetic flux φ, Chua proposed in 1971 a fourth linear circuit element to directly relate φ and q. A nonlinear resistive device defined in memory i–v relation and dubbed memristor, was later attributed to such an element and has been realized in various material structures. Here we clarify that the memristor is not the true fourth fundamental circuit element but the memory extension to the concept of resistor, in analogy to the extension of memcapacitor to capacitor and meminductor to inductor. Instead, a two-terminal device employing the linear ME effects, termed transtor, directly relates φ and q and should be recognized as the fourth linear element. Moreover, its memory extension, termed memtranstor, is proposed and analyzed here.

关键词: memristor, fundamental circuit element, magnetoelectric effect, transtor, memtranstor

Abstract:

A complete and harmonized fundamental circuit relational graph with four linear and four memory elements is constructed based on some newly defined elements, which provides a guide to developing novel circuit functionalities in the future. In addition to resistors, capacitors, and inductors, which are defined in terms of a linear relationship between charge q, current i, voltage v, and magnetic flux φ, Chua proposed in 1971 a fourth linear circuit element to directly relate φ and q. A nonlinear resistive device defined in memory i–v relation and dubbed memristor, was later attributed to such an element and has been realized in various material structures. Here we clarify that the memristor is not the true fourth fundamental circuit element but the memory extension to the concept of resistor, in analogy to the extension of memcapacitor to capacitor and meminductor to inductor. Instead, a two-terminal device employing the linear ME effects, termed transtor, directly relates φ and q and should be recognized as the fourth linear element. Moreover, its memory extension, termed memtranstor, is proposed and analyzed here.

Key words: memristor, fundamental circuit element, magnetoelectric effect, transtor, memtranstor

中图分类号:  (Circuit theory)

  • 84.30.Bv
85.70.Ay (Magnetic device characterization, design, and modeling) 85.90.+h (Other topics in electronic and magnetic devices and microelectronics) 75.85.+t (Magnetoelectric effects, multiferroics)