Unconventional strong coupling superconductivity in the quasiperiodic systems: nonperturbative approach

• Project/Area Number: 17K05536
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Condensed matter physics II
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: Koga Akihisa 東京工業大学, 理学院, 准教授 (90335373)
• Project Period (FY): 2017-04-01 – 2023-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 準結晶 / 磁性 / 六回対称黄金比タイル / ペンローズ格子 / 計算物理 / 超伝導

Outline of Final Research Achievements

Strong electron correlations in the quasiperiodic systems have attracted much interest. To clarify this, we have treated the Penrose tiling as a simple example of the two dimensional bipartite lattice and studied the magnetism characteristic of the quasiperiodic lattice in the real and perpendicular space. The Ammann-Beenker and Socolar dodecagonal tilings have also been treated and we have clarified the confined states and magnetic properties in these systems.

Academic Significance and Societal Importance of the Research Achievements

量子力学的粒子集団の一つである電子系において、準周期構造がもたらす新奇な強相関物性に注目した。強相関系における準周期性の役割については、これまで理論的な取り扱いがあまりなく、系統的な解析が求められていた。二次元準周期系を系統的に取り扱った本研究により、準周期系特有の物性について一部明らかとなり、今後の準結晶における物性研究につながるものと考えられる。

Research Products

• [Int'l Joint Research] フリブール大学(スイス)
• [Int'l Joint Research] フリブール大学(スイス)
• [Journal Article] Optical response of the tightbinding model on the Fibonacci chain (2022)
  • Author(s): H. Iijima, Y. Murakami, and A. Koga
  • Journal Title: J. Phys. Soc. Jpn. Volume: 91 Issue: 12 Pages: 1247021-5
  • DOI: 10.7566/jpsj.91.124702
  • Peer Reviewed
• [Journal Article] Anomalous Temperature Dependence of High-Harmonic Generation in Mott Insulators (2022)
  • Author(s): Murakami Yuta、Uchida Kento、Koga Akihisa、Tanaka Koichiro、Werner Philipp
  • Journal Title: Physical Review Letters Volume: 129 Issue: 15 Pages: 1574011-6
  • DOI: 10.1103/physrevlett.129.157401
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Scattering phenomena for spin transport in a Kitaev spin liquid (2022)
  • Author(s): Nasu Joji、Murakami Yuta、Koga Akihisa
  • Journal Title: Physical Review B Volume: 106 Issue: 2 Pages: 024411-024411
  • DOI: 10.1103/physrevb.106.024411
  • Peer Reviewed
• [Journal Article] Thermally enhanced Majorana-mediated spin transport in the Kitaev model (2022)
  • Author(s): Taguchi Hirokazu、Murakami Yuta、Koga Akihisa
  • Journal Title: Physical Review B Volume: 105 Issue: 12 Pages: 125137-125137
  • DOI: 10.1103/physrevb.105.125137
  • Peer Reviewed
• [Journal Article] Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling (2022)
  • Author(s): A. Koga and S. Coates
  • Journal Title: Phys. Rev. B Volume: 105 Issue: 10 Pages: 1044101-9
  • DOI: 10.1103/physrevb.105.104410
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Photoinduced dynamics of a quasicrystalline excitonic insulator (2022)
  • Author(s): Inayoshi Ken、Murakami Yuta、Koga Akihisa
  • Journal Title: Physical Review B Volume: 105 Issue: 10 Pages: 104307-104307
  • DOI: 10.1103/physrevb.105.104307
  • Peer Reviewed
• [Journal Article] Antiferromagnetically Ordered State in the Half-Filled Hubbard Model on the Socolar Dodecagonal Tiling (2021)
  • Author(s): A. Koga
  • Journal Title: MATERIALS TRANSACTIONS Volume: 62 Issue: 3 Pages: 360-366
  • DOI: 10.2320/matertrans.MT-MB2020003
  • NAID: 130007990804
  • ISSN: 1345-9678, 1347-5320
  • Year and Date: 2021-03-01
  • Peer Reviewed
• [Journal Article] Effect of Electron-Electron Interactions on Metallic State in Quasicrystals (2021)
  • Author(s): S. Sakai and A. Koga
  • Journal Title: MATERIALS TRANSACTIONS Volume: 62 Issue: 3 Pages: 380-385
  • DOI: 10.2320/matertrans.MT-MB2020001
  • NAID: 130007990798
  • ISSN: 1345-9678, 1347-5320
  • Year and Date: 2021-03-01
  • Peer Reviewed / Open Access
• [Journal Article] Role of Majorana fermions in spin transport of anisotropic Kitaev model (2021)
  • Author(s): Taguchi Hirokazu、Murakami Yuta、Koga Akihisa、Nasu Joji
  • Journal Title: Physical Review B Volume: 104 Issue: 12 Pages: 125139-125139
  • DOI: 10.1103/physrevb.104.125139
  • Peer Reviewed
• [Journal Article] Unconventional Pairing from Local Orbital Fluctuations in Strongly Correlated A3C60 (2021)
  • Author(s): C. Yue, S. Hoshino, A. Koga, and P. Werner
  • Journal Title: Phys. Rev. B Volume: 104 Issue: 7
  • DOI: 10.1103/physrevb.104.075107
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Majorana correlations in the Kitaev model with ordered-flux structures (2021)
  • Author(s): A. Koga, Y. Murakami, and J. Nasu
  • Journal Title: Phys. Rev. B Volume: 103 Issue: 21 Pages: 2144211-9
  • DOI: 10.1103/physrevb.103.214421
  • Peer Reviewed
• [Journal Article] High-harmonic generation in one-dimensional Mott insulator (2021)
  • Author(s): Y. Murakami, S. Takayoshi, A. Koga, and P. Werner
  • Journal Title: Phys. Rev. B Volume: 103 Issue: 3 Pages: 0351101-14
  • DOI: 10.1103/physrevb.103.035110
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling (2020)
  • Author(s): A. Koga
  • Journal Title: Phys. Rev. B Volume: 102 Issue: 11 Pages: 1151251-10
  • DOI: 10.1103/physrevb.102.115125
  • Peer Reviewed
• [Journal Article] Majorana-mediated spin transport in Kitaev quantum spin liquids (2020)
  • Author(s): T. Minakawa, Y. Murakami, A. Koga, and J. Nasu
  • Journal Title: Phys. Rev. Lett. Volume: 125 Issue: 4 Pages: 0472041-7
  • DOI: 10.1103/physrevlett.125.047204
  • Peer Reviewed
• [Journal Article] Collective Modes in Excitonic Insulators: Effects of Electron-Phonon Coupling and Signatures in Optical Response (2020)
  • Author(s): Y. Murakami, D. Golez, T. Kaneko, A. Koga, A. J. Millis, and P. Werner
  • Journal Title: Phys. Rev. B Volume: 101 Issue: 19 Pages: 1951181-17
  • DOI: 10.1103/physrevb.101.195118
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Excitonic condensation reflecting electronic states in two-band Penrose-Hubbard model (2020)
  • Author(s): K. Inayoshi, Y. Murakami, and A. Koga
  • Journal Title: J. Phys. Soc. Jpn. Volume: 89 Issue: 6 Pages: 0640021-8
  • DOI: 10.7566/jpsj.89.064002
  • NAID: 40022254127
  • Peer Reviewed
• [Journal Article] Spin transport in the Quantum Spin Liquid State in the S=1 Kitaev model: role of the fractionalized quasiparticles (2020)
  • Author(s): A. Koga, T. Minakawa, Y. Murakami, and J. Nasu
  • Journal Title: J. Phys. Soc. Jpn. Volume: 89 Issue: 3 Pages: 33701-33701
  • DOI: 10.7566/jpsj.89.033701
  • NAID: 40022185595
  • Peer Reviewed
• [Journal Article] Residual entropy and spin fractionalizations in the mixed-spin Kitaev model (2019)
  • Author(s): A. Koga and J. Nasu
  • Journal Title: Phys. Rev. B Volume: 100 Issue: 10 Pages: 1004041-5
  • DOI: 10.1103/physrevb.100.100404
  • Peer Reviewed
• [Journal Article] Ferromagnetic Instability for single-band Hubbard model in the strong-coupling regime (2019)
  • Author(s): Y. Kamogawa, J. Nasu, and A. Koga
  • Journal Title: Phys. Rev. B Volume: 99 Issue: 23 Pages: 2351071-6
  • DOI: 10.1103/physrevb.99.235107
  • Peer Reviewed
• [Journal Article] Low temperature properties in the Bilayer Kitaev model (2019)
  • Author(s): H. Tomishige, J. Nasu, and A. Koga
  • Journal Title: Phys. Rev. B Volume: 99 Issue: 17 Pages: 1744241-5
  • DOI: 10.1103/physrevb.99.174424
  • Peer Reviewed
• [Journal Article] Quantum and classical behavior of spin-S Kitaev models in the anisotropic limit (2019)
  • Author(s): Minakawa Tetsuya、Nasu Joji、Koga Akihisa
  • Journal Title: Physical Review B Volume: 99 Issue: 10 Pages: 104408-104408
  • DOI: 10.1103/physrevb.99.104408
  • Peer Reviewed
• [Journal Article] Staggered ordered phases in the three-orbital Hubbard model (2019)
  • Author(s): K. Ishigaki, J. Nasu, A. Koga, S. Hoshino, and P. Werner
  • Journal Title: Phys. Rev. B Volume: 99 Issue: 8 Pages: 0851311-11
  • DOI: 10.1103/physrevb.99.085131
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Symmetry breaking states in the half-filled two-orbital Hubbard model with crystalline electric field (2019)
  • Author(s): K. Ishigaki, J. Nasu, and A. Koga
  • Journal Title: J. Phys. Soc. Jpn. Volume: 88 Issue: 2 Pages: 0247021-5
  • DOI: 10.7566/jpsj.88.024702
  • NAID: 210000135099
  • Peer Reviewed
• [Journal Article] Spontaneously orbital-selective superconductivity in a three-orbital Hubbard model (2018)
  • Author(s): K. Ishigaki, J. Nasu, A. Koga, S. Hoshino, and P. Werner
  • Journal Title: Phys. Rev. B Volume: 98 Issue: 23 Pages: 2351201-7
  • DOI: 10.1103/physrevb.98.235120
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Incipient and well-developed entropy plateaus in spin-S Kitaev models (2018)
  • Author(s): J. Oitmaa, A. Koga, and R. R. P. Singh
  • Journal Title: Phys. Rev. B Volume: 98 Issue: 21 Pages: 2144041-6
  • DOI: 10.1103/physrevb.98.214404
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Ground-state and thermodynamic properties of an S=1 Kitaev model (2018)
  • Author(s): A. Koga, H. Tomishige, and J. Nasu
  • Journal Title: J. Phys. Soc. Jpn. Volume: 87 Issue: 6 Pages: 0637031-4
  • DOI: 10.7566/jpsj.87.063703
  • NAID: 210000134846
  • Peer Reviewed
• [Journal Article] Role of spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice (2018)
  • Author(s): A. Koga, S. Nakauchi, and J. Nasu
  • Journal Title: Phys. Rev. B Volume: 97 Issue: 9 Pages: 0944271-5
  • DOI: 10.1103/physrevb.97.094427
  • Peer Reviewed
• [Journal Article] Charge Kondo Effect and Superconductivity in the Falikov-Kimball model with the Pair Hopping (2018)
  • Author(s): R. Shinzaki, J. Nasu, and A. Koga
  • Journal Title: Phys. Rev. B Volume: 97 Issue: 12 Pages: 1251301-6
  • DOI: 10.1103/physrevb.97.125130
  • Peer Reviewed
• [Journal Article] Interlayer Coupling Effect on a Bilayer Kitaev Model (2018)
  • Author(s): H. Tomishige, J. Nasu, and A. Koga
  • Journal Title: Phys. Rev. B Volume: 97 Issue: 9 Pages: 0944031-9
  • DOI: 10.1103/physrevb.97.094403
  • Peer Reviewed
• [Journal Article] Antiferromagnetic order in the Hubbard Model on the Penrose Lattice (2017)
  • Author(s): A. Koga and H. Tsunetsugu
  • Journal Title: Phys. Rev. B Volume: 96 Issue: 21 Pages: 2144021-17
  • DOI: 10.1103/physrevb.96.214402
  • NAID: 130007649114
  • Peer Reviewed
• [Journal Article] Cluster Size Effects on Electronic Reconstruction in Quasiperiodic System (2017)
  • Author(s): R. Shinzaki, J. Nasu, and A. Koga
  • Journal Title: Journal of Physics: Conference Series Volume: 809 Pages: 0120221-4
  • DOI: 10.1088/1742-6596/809/1/012022
  • Peer Reviewed / Open Access
• [Presentation] 二次元準周期タイルとハイパーユニフォーミティ (2023)
  • Author(s): 古賀昌久
  • Organizer: 研究会 "準周期電子状態とマルチフラクタリティ・ハイパーユニフォーミティ"
  • Invited
• [Presentation] Majorana-mediated spin transport in the Kitaev model at finite temperatures (2022)
  • Author(s): A. Koga
  • Organizer: International Workshop on spintronics 2022 "Spin Argentina"
  • Int'l Joint Research
• [Presentation] A 6-fold golden-mean tiling with four tiles (2022)
  • Author(s): A. Koga
  • Organizer: 10th International Conference on Aperiodic Crystals (APERIODIC2022)
  • Int'l Joint Research
• [Presentation] Majorana-mediated spin transport in the S=1/2 Kitaev model at finite temperatures (2022)
  • Author(s): A. Koga
  • Organizer: 11th International Conference on Highly Frustrated Magnetism 2022 (HFM22)
  • Int'l Joint Research
• [Presentation] Majorana-mediated spin transport in the S=1/2 Kitaev model at finite temperatures (2022)
  • Author(s): A. Koga
  • Organizer: International Conference on Strongly Correlated Electron Systems (SCES2022)
  • Int'l Joint Research
• [Presentation] キタエフスピン模型におけるマヨラナ粒子の実空間ダイナミクスの解析 (2022)
  • Author(s): 兼平修, 土浦宏紀, 古賀昌久
  • Organizer: 2022年春季大会
• [Presentation] キタエフ模型のスピン輸送特性に対する熱揺らぎの効果 (2022)
  • Author(s): 田口滉一, 村上雄太, 古賀昌久
  • Organizer: 2022年春季大会
• [Presentation] フィボナッチ格子上の強束縛模型における光学応答の理論研究 (2022)
  • Author(s): 飯島弘貴, 村上雄太, 古賀昌久
  • Organizer: 2022年春季大会
• [Presentation] 六回対称黄金比準周期タイルにおけるフェリ磁性 (2022)
  • Author(s): 古賀昌久, S. Coates
  • Organizer: 2022年春季大会
• [Presentation] キタエフ量子スピン液体におけるスピン輸送のフラックス散乱 (2021)
  • Author(s): 那須譲治, 村上雄太, 古賀昌久
  • Organizer: 2021年秋季大会
• [Presentation] キタエフスピン模型におけるスピン輸送とその制御 (2021)
  • Author(s): 兼平修, 土浦宏紀, 古賀昌久
  • Organizer: 2021年秋季大会
• [Presentation] 一次元Mott絶縁体からの高次高調波発生：ダブロン・ホロンに対する3ステップ模型とスピンダイナミクスの効果 (2021)
  • Author(s): 村上雄太, 高吉慎太郎, 古賀昌久, Philipp Werner
  • Organizer: 日本物理学会2021年春季大会
• [Presentation] フィボナッチ格子上の強束縛模型における光学応答 (2021)
  • Author(s): 飯島弘貴, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会2021年春季大会
• [Presentation] 準結晶励起子絶縁体における光誘起ダイナミクスII (2021)
  • Author(s): 稲吉健, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会2021年春季大会
• [Presentation] キタエフ模型におけるマヨラナ相関 (2021)
  • Author(s): 古賀昌久, 村上雄太, 那須譲治
  • Organizer: 日本物理学会2021年春季大会
• [Presentation] Fibonacci格子強束縛模型における非線形光学応答 (2020)
  • Author(s): 飯島弘貴, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] 準結晶励起子絶縁体における光誘起ダイナミクス (2020)
  • Author(s): 稲吉健, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] キタエフ模型におけるスピン伝導 (2020)
  • Author(s): 皆川哲哉, 村上雄太, 古賀昌久, 那須譲治
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] キタエフ模型のスピン輸送特性に対する異方性の効果 (2020)
  • Author(s): 田口滉一, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] 制限ボルツマンマシンによる2層Kitaev模型の基底状態の解析 (2020)
  • Author(s): 清原越生, 古賀昌久
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] 二重交換模型を用いた希土類磁石の解析 (2020)
  • Author(s): 砂川滉太, 村上雄太, 古賀昌久, 吉岡匠哉, 土浦宏紀
  • Organizer: 日本物理学会2020年秋季大会
• [Presentation] 励起子絶縁相における集団励起モードへの電子格子相互作用の影響と観測可能性 (2020)
  • Author(s): 村上雄太, Denis Golez, Paolo Andrich, Hope Bretscher, 金子竜也, 古賀昌久, Andy Millis, Philipp Werner
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] 二軌道Penrose-Hubbardモデルにおける励起子凝縮 (2020)
  • Author(s): 稲吉健, 村上雄太, 古賀昌久
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] 準周期構造をもつ二重交換模型の磁性 (2020)
  • Author(s): 竹内勇輝, 那須譲治, 古賀昌久
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] 非一様磁場中キタエフ模型の磁化の空間依存性2 (2020)
  • Author(s): 皆川哲哉, 村上雄太, 古賀昌久, 那須譲治
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] 非一様磁場中S=1キタエフ模型における動的スピン相関 (2020)
  • Author(s): 古賀昌久, 皆川哲哉, 村上雄太, 那須譲治
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] 非一様磁場中キタエフ模型の磁化の空間依存性 (2019)
  • Author(s): 皆川哲哉, 那須譲治, 村上雄太, 古賀昌久
  • Organizer: 2019年秋季大会
• [Presentation] 混合スピンキタエフ模型における熱力学特性 (2019)
  • Author(s): 古賀昌久, 那須譲治
  • Organizer: 2019年秋季大会
• [Presentation] スピンSキタエフ模型の異方的極限における低エネルギー有効模型 (2019)
  • Author(s): 皆川哲哉, 那須譲治, 古賀昌久
  • Organizer: 日本物理学会第74回年次大会
• [Presentation] スピンSキタエフ模型の熱力学量に対する異方性の効果 (2019)
  • Author(s): J. Oitmaa, 古賀昌久, R. R. P. Singh
  • Organizer: 日本物理学会第74回年次大会
• [Presentation] 単軌道ハバード模型の強磁性相に対する状態密度の効果についての解析 (2019)
  • Author(s): 鴨川友輔, 那須譲治, 古賀昌久
  • Organizer: 日本物理学会第74回年次大会
• [Presentation] スピンS=1キタエフ模型の基底状態と熱力学特性 (2018)
  • Author(s): 古賀昌久, 富重博之, 那須譲治
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] 単軌道ハバード模型における強磁性への不安定性 (2018)
  • Author(s): 鴨川友輔, 那須譲治, 古賀昌久
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] 2層キタエフ模型におけるダイマー相－スピン液体相間の相転移 (2018)
  • Author(s): 富重博之, 那須譲治, 古賀昌久
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] 反強磁性Hund結合をもつ３軌道Hubbard模型において現れる特異な量子相の安定性 (2018)
  • Author(s): 石垣耕祐, 那須譲治, 古賀昌久, 星野晋太郎, Philipp Werner
  • Organizer: 第73回年次大会
• [Presentation] ペンローズ格子上の電子状態 (2018)
  • Author(s): 古賀昌久
  • Organizer: 第73回年次大会
  • Invited
• [Presentation] ペンローズハバード模型における反強磁性秩序 (2018)
  • Author(s): 古賀昌久, 常次宏一
  • Organizer: 第73回年次大会
• [Presentation] 希土類磁石の磁性に対する伝導電子の効果 (2018)
  • Author(s): 田口陽二郎, 那須譲治, 古賀昌久, 吉岡匠哉, 土浦宏紀
  • Organizer: 第73回年次大会
• [Presentation] 2層キタエフ模型における層間相互作用の効果 (2018)
  • Author(s): 富重博之, 那須譲治, 古賀昌久
  • Organizer: 第73回年次大会
• [Presentation] ハニカム格子上多軌道模型におけるスピン軌道相互作用の効果 (2017)
  • Author(s): 古賀昌久, 中内子竜, 那須譲治
  • Organizer: 2017年秋季大会
• [Presentation] 2軌道ハバード模型における励起子相と軌道秩序相の競合II (2017)
  • Author(s): 石垣耕祐, 那須譲治, 古賀昌久
  • Organizer: 2017年秋季大会