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Application of Circuit Theory to Synthesis of New Materials Using Quantum Effect

Research Project

Project/Area Number 05650321
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 電子デバイス・機器工学
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

NAGAI Nobuo  Hokkaido Univ., Res. Inst. Electr. Sci., Prof., 電子科学研究所, 教授 (80001692)

Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1995: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1994: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1993: ¥600,000 (Direct Cost: ¥600,000)
KeywordsSemiconductor Superlattice, / multiple Barriers and Wells, / Complex Equivalent Circuit, / Wave Equation, / Resonat Tunneling Energy Level, / Resonat Tunneling Diode, / Schrodinger Equation, / Dirac Operator / δ形ポテンシャル / RIT構造(Resonant Interband Tunnel) / 等長分布定数回路の拡張 / 多重バリヤ・井戸構造 / エネルギー準位 / 共鳴トンネル / ミニバンド / 電圧および電流S行列 / クローニッヒ・ペニー模型 / ヘテロ界面での波動関数の接続 / 共鳴状態の存在寿命 / 電子波散乱 / タイプII,III型
Research Abstract

The objective of this research projects is to show new synthesis methods of semiconductor superlattices, and multiple barrier and well structures deriving physically new characteristics utilizing quantum effect. The following results are obtained.
(I) Since the lifetime of the resonant state is defined as the transit time to estimate operation speed in double barrier resonant tunneling devices, it is related to the energy width of reasonant level. We propose to obtain the lifetime by utilizing the complex energy of Laplace parameter used in the circuit theory. We show that we easily obtain the lifetime for multiple barrier and well structures.
(II) By obtaining complex equivalent circuits for heterointerfaces, we analyze GAMMA-X mixing and quantum wells of Type II or III.By obtaining complex equivalent circuits for boundary conditions, we obtain eigenenergy of quantum well and mini-band structure of periodic potential constituted by GaAs/Al _xGa_<1-x> As, InAs/GaSb. We obtain a synthesis method of one-dimentional potential structure including delta potential with given electron transfer characteristics. We also obtain the equivalent circuit for the 2-band model prposed by Kane, to represent wave characteristics of RIT (Resonant Interband Tunneling) consituted with GaSb, InAs, AlSb.
(III) In order to make resonant tunneling diodes more effectively, we propose synthesizing methods to obtain a resonant tunneling level in the conduction band under the Fermi level. We also show an efficient method using deep wells.
(IV) We discuss quantum friction. Electrical friction corresponds to energy loss. Since we derive Telegrapher's type equation from Schrodinger equation, we obtain two waves of voltage and current corresponding to wave function. By using these two waves, we can analyze quantum friction as electrical loss.
(V) Some quantum waves are presented by Dirac operator. We show some fundamental characteristics of Dirac operator by obtaining the quivalent circuit.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report

Research Products

(60 results)

All Other

All Publications (60 results)

  • [Publications] 大谷,真田,永井,鈴木,三木: "共鳴状態の存在寿命に関する回路論的一考察" 電子情報通信学会論文誌. J76-C-II. 59-66 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,永井,大谷,三木,大鎌: "ヘテロ界面における波動関数の接続を表す複素等価回路" 電子情報通信学会論文誌. J76-C-I. 344-351 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井,大谷,真田,任: "量子現象を用いた新しい物質設計への分布定数回路理論の応用" 電子科学研究. 1. 14-19 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H. Sanada, N, Nagai, N. Ohtani, N. Miki: "Circuit Theoretical Method for Quantum Effect Phenomena in One-Dimentional Potential Profiles of Arbitrarg Semiconductors" Joint Conf. CSCC. 575-580 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 大谷,永井,鈴木,三木: "不確定要因による電子波散乱の影響を考慮した共鳴トンネル効果の回路論的取扱い" 電子情報通信学会技術研究報告. CAS93-5. (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,永井,大谷,三木: "量子井戸および周期的ポテンシャル構造の回路的取扱い" 電子情報通信学会論文誌. J77-C-II. 44-51 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 任,永井,大谷,三木: "非対称3重バリヤ構造による唯一つの完全共鳴準位の実現" 電子情報通信学会論文誌. J77-C-II. 181-189 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N. Nagai: "A restatement on application of electrical considerasions for one-dimentional wave phenomena" IEICE Trans. Fundamentals. E77-A. 804-809 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井,M, M, Nouri,真田: "損失をもつ線路を用いた回路のシグナルクローグラフの一検討" 電子情報通信学会技術研究報告. CAS94-13. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 任,真田,永井: "電圧印加状態の2重バリヤにおける完全共鳴準位合成について" 電子情報通信学会技術研究報告. CAS94-17. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,任,永井: "メゾスコピック系での電子波伝搬の回路的一解析法" 電子情報通信学会技術研究報告. CAS94-16. (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,任,永井: "δ形ポテンシャルを含むポテンシャル中の電子波伝搬についての一検討" 電子情報通信学会論文誌. J78-C-II. 65-74 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,永井: "1次元電子波伝搬の分布定数回路表示" 電子情報通信学会論文誌. J78-A. 957-960 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井,真田: "拡張されたシュレディンガー方程式を満足する複素等価回路" 電子情報通信学会技術研究報告. CAS95-20. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 任,真田,永井: "深い井戸を持つ非対称2重バリアの等価特性に関する一検討" 電子情報通信学会技術研究報告. CAS95-21. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 野村,永井,真田: "2重バリヤ構造の共鳴準位形成に関する一考察" 電子情報通信学会技術研究報告. CAS95-22. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,永井: "ポテンシャル中での波束の伝搬に関する一考察" 電子情報通信学会技術研究報告. CAS95-23. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井,真田,任,野村: "回路理論に用いられる散乱行列の一次元波動現象への応用について" 電子情報通信学会技術研究報告. CAS95-63. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H. Sanada, N. Nagai: "Circuit Theoretical Approach for One-Dimensional Quantum Mechanical Problems" IEEE YENCON 195. 226-229 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 永井: "ウェーブディジタルフィルタの一つの拡張について" ディジタル信号処理シンポジウム講演論文集. 373-378 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 野村,永井,真田: "ディジタル信号処理手法の応用による共鳴トンネル現象の解析" ディジタル信号処理シンポジウム講演論文集. 187-192 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Ohtani, H.Sanada, N.Nagai, M.Suzuki and N.Miki: ""A Study on the Lifetime of Resonant State Based on the Circuit Theory"" IEICE Trans. ELECTRONICS. Vol. J76-C-II. 59-66 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.sanada, N.Nagai, N.Ohtani, N.Miki and H.Ohkama: ""Complex-Valued Equivalent Circuits which Represent the connection of Wave Functions at the Heterointerfaces"" IEICE Trans. ELECTRONICS. Vol. J76-C-I. 344-351 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai, N.Ohtani, H.Sanada and J.Ren: ""Application of Distributed Circuit Theory to Snythesis of New Materials Using Quantun Effect"" Electronic Science Research. Vol. 1. 14-19 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada, N.Nagai, N.Ohtani and N.Miki: ""Circuit Theoretical Method for Quantum Effect Phenomena in One-Dimensional Potential Profiles of Arbitrary Semiconductors"" Joint Conf. CSCC. 575-580 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Ohtani, N.Nagai, M.Suzuki and N.Miki: ""Formulation of Scattering Effect on Resonant Tunneling Caused y Some Undecided Factors Based on Network Theory"" IEICE Tech. Report. Vol. CAS93-5. 29-34 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada, N.Nagai, N.Ohtani and N.Miki: ""Circuit Theoretical Approach for the Quantum Wells and Periodic Potentials"" IEICE Trans. ELECTRONICS. Vol. J77-C-II. 44-51 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] J.Ren, N.Nagai, N.Ohtani and N.Miki: ""Realizing a Completed-Resonant Level by Using an Asymmetrical Tripple-Barrier Structure"" IEICE Trans. ELECTRONICS. Vol. J77-C-II. 181-189 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai: ""A restatement on applications of electrical considerations for one-dimentional wave phenomema"" IEICE Trans. Fundamentals. Vol. E77-A. 804-809 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai, M.Mehdinejad Nouri and H.Sanada: ""A Consideration for Signal Flow Graph of Circuits Constituted with Lossy Transmission Lines"" IEICE Tech. Report. Vol. CAS94-13. 93-100 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada, J.Ren and N.Nagai: ""Circuit Theoretical Approach for Electron Wave Propagation in Mesoscopic Structures"" IEICE Tech. Report. Vol. CAS94-16. 115-122 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] J.Ren, H.Sanada and N.Nagai: ""Generating a Completed Resonant Level with a Double-Barrier Structure under the Bias Voltage"" IEICE Tech. Report. Vol. CAS94-17. 123-130 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada, J.Ren and N.Nagai: ""Electron Wave Propagation with delta-Type Potentials"" IEICE Trans. ELECTRONICS. Vol. J78-C-II. 65-74 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada and N.Nagai: ""Equivalent Circuit for One-Dimensional Electron Wave Propagation"" IEICE Trans. FUNDAMENTALS. Vol. J78-A. 957-960 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai and H.Sanada: ""Complex Equivalent Circuit Satisfying Extended Schrodinger Wave Equation"" IEICE Tech. Report. Vol. CAS95-20. 59-66 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] J.Ren, H.Sanada and N.Nagai: ""Research of Transmission Probability about Asymmetric Double-Barrier Structure with a Deep Well"" IEICE Tech. Report. Vol. CAS95-21. 67-73 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nomura, N.Nagai and H.Sanada: ""A Study on Tunneling Process in Double-Barrier Structure"" IEICE Tech. Report. Vol. CAS95-22. 75-82 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada and N.Nagai: ""Propagatio of the Electron Wave Packet in Multiple Barrier Structures"" IEICE Tech. Report. Vol. CAS95-23. 83-89 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai, H.Sanada, J.Ren and T.Nomura: ""Complex Equivalent Circuit Satisfying Extended Schrodinger Wave Equation"" IEICE Tech. Report. Vol. CAS95-63. 29-36 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Sanada and N.Nagai: ""Circuit Theoretical Approach for One-Dimensional Quantum Mechanical Problems"" 1995 IEEE TENCON. 226-229 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] N.Nagai: ""On an Extension of Wave Digital Filters"" Digital Signal Proc. Sympo.B6-2. 373-378 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nomura, N.Nagai and H.Sanada: ""A Study on Resonant Tunneling Using a Method of Digital Signal Processing"" Digital Signal Proc. Sympo.C3-1. 187-191 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 真田,任,永井: "δ形ポテンシャルを含むポテンシャル中の電子波伝搬についての一検討" 電子情報通信学会論文誌. J78-C-II. 65-74 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 真田,永井: "1次元電子波伝搬の分布定数回路表示" 電子情報通信学会論文誌. J78-A. 957-960 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 永井,真田: "拡張されたシュレディンガー方程式を満足する複素等価回路" 電子情報通信学会技術研究報告. CAS95-20. (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 任,真田,永井: "深い井戸を持つ非対称2重バリヤ構造の透過特性に21GC04:電子情報通信学会技術研究報告" CAS95-21. (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Sanada・N.Nagai: "Circuit Theoretical Approach for One Dimensional Quatum Mechauical Rroblems." IEEE TENCON '95. 226-229 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 永井: "ウェーブディジタルフィルタの一つの拡張について" ディジタル信号処理シンポジウム講演論文集. 373-378 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 真田,永井,大谷,三木: "量子井戸および周期的ポテンシャル構造の回路的取り扱い" 電子情報通信学会論文誌. J77-C-II. 44-51 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 任,永井,大谷,三木: "非対称3重バリヤ構造による唯一つの完全共鳴準位の実現" 電子情報通信学会論文誌. J77-C-II. 181-189 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.NAGAI: "A Restatement on Applications of Electrical Considerations for One-Dimentional Wave Phenomena" IEICE Trans.Fundamentals. E77-A. 804-810 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 永井、M.M.ヌリ、真田: "損失を持つ線路のシグナルフローグラフの一検討" 電子情報通信学会技術報告. CAS94-13. 93-100 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 真田,任,永井: "メゾスコピック系での電子波伝搬の回路的一解析法" 電子情報通信学会技術報告. CAS94-16. 115-122 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 任,真田,永井: "電圧印加状態の2重バリヤにおける完全共鳴準位合成について" 電子情報通信学会技術報告. CAS94-17. 123-130 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 大谷,真田,永井,鈴木,三木: "共鳴状態の存在寿命に関する回路論的一考察" 電子情報通信学会論文誌. J76-C-II. 59-66 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 大谷,永井,鈴木,三木: "不確定要因による電子波散乱の影響を考慮した共鳴トンネル効果の回路論的取り扱い" 電子情報通信学会技術報告. CAS 93-5. 29-34 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Sanada,N.Nagai,N.Ohtani and N.Miki: "Circuit theoretical method for quantum effect phenomena in one-dimentional potential profiles of arbitrary semiconductors" Proc.JTC-CSCC '93(Nara). 575-580 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 真田,永井,大谷,三木,大鎌: "ヘテロ界面における波動関数の接続を表す複素等価回路" 電子情報通信学会論文誌. J76-C-I. 344-351 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 真田,永井,大谷,三木: "量子井戸および周期的ポテンシャル構造の回路的取扱い" 電子情報通信学会論文誌. J77-C-II. 44-51 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 〓,永井,大谷,三木: "非対称3重バリヤ構造による唯一つの完全共鳴準位の実現" 電子情報通信学会論文誌. J77-C-II(採録決定). (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-03-31   Modified: 2016-04-21  

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