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Study of twp-gap problem of cuprate superconductors using variation method and BdG equation

Research Project

Project/Area Number 22540359
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Condensed matter physics II
Research InstitutionTohoku University

Principal Investigator

YOKOYAMA Hisatoshi  東北大学, 大学院・理学研究科, 助教 (60212304)

Co-Investigator(Renkei-kenkyūsha) OGATA Masao  東京大学, 理学系研究科, 教授 (60185501)
TSUCHIURA Hiroki  東北大学, 工学研究科, 准教授 (30374961)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords超伝導 / 銅酸化物 / 擬ギャップ / 変分法 / クロスオーバー / モット絶縁体 / 不均一性
Research Abstract

With cuprates in mind, we systematically studied properties of pseudogap and d-wave superconductivity, which are keys to clarify the mechanism of high-Tc cuprates. We mainly applied a variational Monte Carlo method to the Hubbard model. Near half filling, as the interaction strength is increased, every state exhibits, at approximately the band width, a crossover closely related to the Mott transition at half filling. The weakly correlated regime corresponds to a Fermi liquid (BCS superconducting) phase, and the strongly correlate regime to a doped Mott insulating phase, in which physics is dominated by singly occupied sites and the doublon-holon binding effect. Properties of cuprates are consistent to those in the latter regime.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (59 results)

All 2013 2012 2011 2010 Other

All Journal Article (22 results) (of which Peer Reviewed: 22 results) Presentation (36 results) Remarks (1 results)

  • [Journal Article] Coexistence of superconductivity and antiferromag- netism and its effects on crossover as to correlation strength in Hubbard model2013

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Journal Title

      Phys. Proc

      Volume: 45 Pages: 17-17

    • DOI

      10.1016/j.phpro.2013.04.041

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variational Study of Mott Transition by Means of Drude Weight and Superfluid Density2013

    • Author(s)
      田村駿, 横山寿敏
    • Journal Title

      Physics Procedia

      Volume: 45 Pages: 5-8

    • DOI

      10.1016/j.phpro.2013.04.038

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variational study of conduction in doped Mott insulator in terms of kinetic energy2013

    • Author(s)
      横山寿敏、田村駿
    • Journal Title

      Physics Procedia

      Volume: 45 Pages: 9-12

    • DOI

      10.1016/j.phpro.2013.04.039

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Crossover bet- ween BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two- Dimensional Hubbard Model2013

    • Author(s)
      H.Yokoyama, M.Ogata, Y.Tanaka, K.Kobayashi, H.Tsuchiura
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 82 Issue: 1 Pages: 14707-14707

    • DOI

      10.7566/jpsj.82.014707

    • NAID

      40019545462

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variational study of conduction in doped Mott insulator in terms of kinetic energy.2013

    • Author(s)
      H.Yokoyama, S.Tamura, K.Kobayashi, M.Ogata
    • Journal Title

      Physics Procedia

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational study of Mott transition by means of Drude weight and superfluid density2013

    • Author(s)
      S.Tamura, H.Yokoyama
    • Journal Title

      Physics Procedia

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Coexistence of superconductivity and antiferromagnetism and its effects on crossover as to correlation strength in Hubbard model2013

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Journal Title

      Physics Procedia

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational Monte Carlo Study of Spin-Gapped Normal State and BCS-BEC Crossover in Two- Dimensional Attractive Hubbard Model2012

    • Author(s)
      S.Tamura, H.Yokoyama
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 81 Issue: 6 Pages: 64718-64718

    • DOI

      10.1143/jpsj.81.064718

    • NAID

      40019309463

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mott Transition and Spin Structures of Spin-1 Bosons inTwo-Dimensional Optical Lattice at Unit Filling2012

    • Author(s)
      Y.Toga, H.Tsuchiura, M.Yamashita, K.Inaba, H.Yokoyama
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 81 Issue: 6 Pages: 63001-63001

    • DOI

      10.1143/jpsj.81.063001

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strongly correlated nature of d-wave superconductivity in cuprates.&quot2012

    • Author(s)
      H.Yokoyama, S.Tamura, T.Miyagawa, K.Kobayashi, M.Ogata
    • Journal Title

      Phys. Proc

      Volume: 27 Pages: 60-60

    • DOI

      10.1016/j.phpro.2012.03.410

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spin-gapped wave function as normal state in attractive Hubbard model2012

    • Author(s)
      S.Tamura, H.Yokoyama
    • Journal Title

      Phys. Proc

      Volume: 27 Pages: 76-76

    • DOI

      10.1016/j.phpro.2012.03.414

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effect of Doublon-Holon Binding on Mott transition---Variational Monte CarloStudy of Two-Dimensional Bose Hubbard Models2011

    • Author(s)
      H.Yokoyama, T.Miyagawa, M.Ogata
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 80 Issue: 8 Pages: 84607-84607

    • DOI

      10.1143/jpsj.80.084607

    • NAID

      40018947230

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mechanism of superfluid-insulator tran- sition in two dimensional Bose Hubbard model2011

    • Author(s)
      H.Yokoyama, T.Miyagawa, M.Ogata
    • Journal Title

      Physica C

      Volume: 471 Pages: 730-734

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of Long-Range Correlations on Nonmagnetic Mott Transitions in Hubbard model on Square Lattice2011

    • Author(s)
      T.Miyagawa and H.Yokoyama
    • Journal Title

      J.Phys.Soc.Jpn

      Volume: 80 Issue: 8 Pages: 84705-84705

    • DOI

      10.1143/jpsj.80.084705

    • NAID

      40018947235

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Doublon- holon-binding mechanism of Mott transi-tion in low dimensional Hubbard model2011

    • Author(s)
      T.Miyagawa, H.Yokoyama
    • Journal Title

      Physica C

      Volume: 471 Issue: 21-22 Pages: 738-742

    • DOI

      10.1016/j.physc.2011.05.041

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mechanism of superfluid-insulator transition in two dimensional Bose Hubbard model2011

    • Author(s)
      H.Yokoyama, T.Miyagawa, M.Ogata
    • Journal Title

      Physica C

      Volume: 471 Issue: 21-22 Pages: 730-734

    • DOI

      10.1016/j.physc.2011.05.039

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supercon- ductivity and antiferromagnetism in phase diagram of frustrated Hubbard model within variational2010

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Journal Title

      study Physica C

      Volume: 470 Pages: 1081-1084

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Antiferromagnetism and pairing symmetries in two-dimensional t-J model2010

    • Author(s)
      T.Watanabe, H.Yokoyama, K.Kobayashi
    • Journal Title

      Physica C

      Volume: 470 Pages: S106-S108

    • DOI

      10.1016/j.physc.2009.12.061

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Competition and coexistence of antiferro- magnetism and superconductivity in the Hubbard model2010

    • Author(s)
      K.Kobayashi, T.Watanabe, H.Yokoyama
    • Journal Title

      Physica C

      Volume: 470 Pages: S947-S948

    • DOI

      10.1016/j.physc.2009.10.058

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Close Relation between Antinodal Fermi- Surface Effect and Superconductivity in Cuprates2010

    • Author(s)
      H.Yokoyama, M.Ogata, K.Kobayashi
    • Journal Title

      Physica C

      Volume: 470 Pages: S149-S150

    • DOI

      10.1016/j.physc.2009.10.029

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Competition and coexistence of antiferromagnetism and supercond uctivity in Hubbard model2010

    • Author(s)
      K.Kobayashi, T.Watanabe, H.Yokoyama
    • Journal Title

      Physica C

      Volume: 470

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Supercon-ductivity and antiferromagnetism in phase diagram of frustrated Hubbard model within variational study2010

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Journal Title

      Physica C

      Volume: 470 Pages: 1061-1064

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 斥力ハバード模型における弱相関-強相関クロスオーバー2013

    • Author(s)
      横山寿敏、田村駿、小林憲司、小形正男
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
    • Related Report
      2012 Final Research Report
  • [Presentation] キャリアドープした三角格子ハバード模型における超伝導状態の計算2013

    • Author(s)
      渡邉努、横山寿敏、宮川智章、小形正男
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
    • Related Report
      2012 Final Research Report
  • [Presentation] ハバード模型における超伝導と反強磁性の共存・競合関係2013

    • Author(s)
      小林憲司、横山寿敏
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
    • Related Report
      2012 Final Research Report
  • [Presentation] Mott絶縁体領域における波動関数の局在長とドルーデの重み2013

    • Author(s)
      田村駿、横山寿敏
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] 斥力ハバード模型における弱相関-強相関クロスオーバー2012

    • Author(s)
      横山寿敏、田村駿、小林憲司、小形正男
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-20
    • Related Report
      2012 Final Research Report
  • [Presentation] 斥力ハバード模型におけるBCSーBECクロスオーバーの可能性2012

    • Author(s)
      田村駿、横山寿敏
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 光格子中S=1ボース原子気体の非整数フィリングにおけるスピン状態2012

    • Author(s)
      栂裕太、土浦宏紀、山下眞、横山寿敏
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-25
    • Related Report
      2012 Final Research Report
  • [Presentation] ドープされたモット絶縁体の性質2012

    • Author(s)
      横山寿敏、田村駿、小林憲司、小形正男
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2012 Final Research Report
  • [Presentation] 2次元引力ハバード模型におけるBCS-BECクロスオーバー22012

    • Author(s)
      田村駿、横山寿敏
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2012 Final Research Report
  • [Presentation] 強相関電子系における電荷揺らぎ相関の効果2012

    • Author(s)
      小林憲司、横山寿敏
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2012 Final Research Report
  • [Presentation] ドープされたモット絶縁体の性質2012

    • Author(s)
      横山寿敏、田村俊、小林憲司、小形正男
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Effect of short-range anti- ferromagnetic correlation on doped Mott insulators2011

    • Author(s)
      H.Yokoyama, S.Tamura, K.Kobayashi, M.Ogata
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      船堀タワーホール(東京)
    • Year and Date
      2011-12-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Variational Monte Carlo study of Drude weight and superfluid density in Mott-insulating regime2011

    • Author(s)
      S.Tamura, H.Yokoyama
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      船 堀タワーホール(東京)
    • Year and Date
      2011-12-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Supercon-ductivity and Mott correlated state in the two-dimensional Hubbard model within a variational study2011

    • Author(s)
      K.Kobayashi, H.Yokoyama
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      船堀タワーホール(東京)
    • Year and Date
      2011-12-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Effect of short- range antiferromagnetic correlation on doped Mott insulators2011

    • Author(s)
      H.Yokoyama, T.Miyagawa, S.Tamura, K.Kobayashi, M.Ogata
    • Organizer
      24th International Symposium on Superconductivity
    • Place of Presentation
      船堀タワーホール(東京)
    • Year and Date
      2011-10-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Variational Monte Carlo study of BCS-BEC crossover and pseudogap in two-dimen- sional attractive Hubbard model2011

    • Author(s)
      S.Tamura, H.Yokoyama, T.Miyagawa
    • Organizer
      24th International Symposium on Supercon-ductivity
    • Place of Presentation
      船堀タワー ホール(東京)
    • Year and Date
      2011-10-26
    • Related Report
      2012 Final Research Report
  • [Presentation] ダブロン-ホロン束縛関数によるモット転移記述の再考2011

    • Author(s)
      宮川智章、横山寿敏
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学(震災で中止されたが講演は概要集で成立)
    • Year and Date
      2011-03-28
    • Related Report
      2012 Final Research Report
  • [Presentation] ドープされたモット絶縁体としてのd波一重項波動関数と銅酸化物2011

    • Author(s)
      横山寿敏、宮川智章、小形正男
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学(震災で中止されたが講演は概要集で成立)
    • Year and Date
      2011-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Mechanism of superfluid-insulator tran- sition in two-dimensional Bose Hubbardmodel2010

    • Author(s)
      H.Yokoyama, T.Miyagawa, M.Ogata
    • Organizer
      23rd International Symposium on Superconductivity
    • Place of Presentation
      エポ カル筑波
    • Year and Date
      2010-11-03
    • Related Report
      2012 Final Research Report
  • [Presentation] Doublon-holon binding mechanism of Mott transition in low dimensional Hubbard model2010

    • Author(s)
      T.Miyagawa, H.Yokoyama
    • Organizer
      23rd International Symposium on Superconductivity
    • Place of Presentation
      エポ カル筑波
    • Year and Date
      2010-11-03
    • Related Report
      2012 Final Research Report
  • [Presentation] ダブロン-ホロン相関によるモット転移機構の再考2010

    • Author(s)
      横山寿敏、宮川智章、小形正男
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2012 Final Research Report
  • [Presentation] 変分法による低次元ハバードモデルにおけるモット転移の機構2010

    • Author(s)
      宮川智章、横山寿敏
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2012 Final Research Report
  • [Presentation] スピン1の2次元ボース・ハバードモデルにおけるモット転移とスピン相関2010

    • Author(s)
      栂裕太、土浦宏紀、山下眞、横山寿敏
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2012 Final Research Report
  • [Presentation] ダブロン-ホロン相関によるモット転移機構の再考2010

    • Author(s)
      横山寿敏、宮川智章、小形正男
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 2次元ハバード系でのd波一重項と反強磁性の相互関係2010

    • Author(s)
      横山寿敏、田村駿、宮川智章、小林憲司
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2010-09-23
    • Related Report
      2012 Final Research Report
  • [Presentation] 2次元引力ハバード系におけるBCS-BECクロスオーバー2010

    • Author(s)
      田村駿、横山寿敏
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2010-09-21
    • Related Report
      2012 Final Research Report
  • [Presentation] 2次元S=1ボース・ハバードモデルの多重占有モット絶縁相近傍における量子相転移2010

    • Author(s)
      栂裕太、土浦宏紀、山下眞、横山寿敏
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2010-09-21
    • Related Report
      2012 Final Research Report
  • [Presentation] 斥力ハバード模型における弱相関-強相関クロスオーバー

    • Author(s)
      横山寿敏
    • Organizer
      日本物理学会 2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 斥力ハバード模型におけるBCSーBECクロスオーバーの可能性

    • Author(s)
      田村駿
    • Organizer
      日本物理学会 2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Staggered flux state as normal state for underdoped Hubbard model

    • Author(s)
      H.Yokoyama
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      Tower Hall, Funabori
    • Related Report
      2012 Annual Research Report
  • [Presentation] Variational Monte Carlo study of drude weight and superfluid density in Mott-insulatinf regime

    • Author(s)
      S.Tamura
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      Tower Hall, Funabori
    • Related Report
      2012 Annual Research Report
  • [Presentation] Superconductivity and Mott correlated states in the two-dimensional Hubbard model within a variational study

    • Author(s)
      K.Kobayashi
    • Organizer
      25th International Symposium on Superconductivity
    • Place of Presentation
      Tower Hall, Funabori
    • Related Report
      2012 Annual Research Report
  • [Presentation] Mott 絶縁体領域における波動関数の局在長とドルーデの重み

    • Author(s)
      田村駿
    • Organizer
      日本物理学会 第68回 年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] キャリアドープした三角格子ハバード模型における超伝導状態の計算

    • Author(s)
      渡邉努
    • Organizer
      日本物理学会 第68回 年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] ハバード模型における超伝導と反強磁性の共存・競合関係

    • Author(s)
      小林憲司
    • Organizer
      日本物理学会 第68回 年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 正方格子における交替フラックス状態の安定性

    • Author(s)
      横山寿敏
    • Organizer
      日本物理学会 第68回 年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www.cmpt.phys.tohoku.ac.jp/~yoko/yoko.html

    • Related Report
      2012 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2020-05-15  

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