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2013 Fiscal Year Final Research Report

Study of dynamics in non-equilibrium state and nanoscale quantum transport

Research Project

  • PDF
Project/Area Number 24654116
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTohoku University

Principal Investigator

SHIMIZU Yukihiro  東北大学, 工学(系)研究科(研究院), 准教授 (70250727)

Project Period (FY) 2012-04-01 – 2014-03-31
Keywords量子輸送理論 / 非平衡状態 / 行列積状態 / 電子相関
Research Abstract

In order to understand the dynamics of non-equilibrium state in nanoscale systems such as spintronics device, we develop the numerical solution for the time evolution of non-equilibrium state. For the continuum model we develop the self-consistent computation of the density of states and the probability distribution function by employing the quantum transport theory. For the correlated lattice model, we employ the so called matrix product states (MPS) and the time evolving block decimation (TEBD) for the Hubbard model. We show that the electron correlation blocks the spin current at the interface of paramagnetic and ferromagnetic states.

  • Research Products

    (6 results)

All 2014 2013

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (5 results)

  • [Journal Article] Application of Matrix Product States to the Hubbard Model in One Spatial Dimension2014

    • Author(s)
      Yukihiro SHIMIZU Koji MATSUURA and Hikaru YAHAGI
    • Journal Title

      JPS Conference Proceedings

      Volume: 1巻 Pages: 016011-1-5

    • DOI

      016011,10.7566/JPSCP.1.016011

    • Peer Reviewed
  • [Presentation] 行列積状態を用いた変分法によるハバード模型の基底状態の時間発展に関する研究2013

    • Author(s)
      矢作輝,清水幸弘
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-28
  • [Presentation] 二次元ハバード模型におけるFERMIONIC PEPSアルゴリズムの有用性の評価2013

    • Author(s)
      松浦浩司,清水幸弘
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-28
  • [Presentation] ハバード模型における行列積状態変分波動関数とその数値計算法の開発2013

    • Author(s)
      清水幸弘
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Year and Date
      2013-09-27
  • [Presentation] Application of Matrix Product States to the Hubbard Model in One Spatial Dimension2013

    • Author(s)
      Yukihiro SHIMIZU Koji MATSUURA and Hikaru YAHAGI
    • Organizer
      The 12th Asia Pacific Physics Conference
    • Place of Presentation
      幕張
    • Year and Date
      2013-07-16
  • [Presentation] PEPS(projected entanglement pair states)アルゴリズムのフェルミオン系への応用2013

    • Author(s)
      松浦浩司,清水幸弘
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27

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Published: 2015-06-25  

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