Numerical simulations of Anderson localization and lazing in random systems

• Project/Area Number: 17540356
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Osaka University
• Principal Investigator: SLEVIN K. M. Osaka University, 大学院・理学研究科, 准教授 (90294149)
• Co-Investigator(Kenkyū-buntansha): OHTSUKI Tomi 上智大学, 理工学部, 教授 (50201976)
• Project Period (FY): 2005 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,820,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥420,000); Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000); Fiscal Year 2005: ¥1,300,000 (Direct Cost: ¥1,300,000)
• Keywords: Anderson Localisation / アンダーソン局在 / 金属絶縁体転移 / ランダムレージング / rare events / 量子干渉効果 / rate events

Research Abstract

Numerical simulations of the Anderson transition and Anderson localization in 3D, 2D and fractal systems were performed. We confirmed that the lower critical dimension of the Anderson transition for Hamiltonians with symplectic symmetry is less than two. We obtained a precise estimate of the critical exponent for the Anderson transition in the integer Quantum Hall Effect.

Research Products

• [Journal Article] Transport properties in network models with perfectly conducting channels. (2009)
  • Author(s): K. Kobayashi, K. Hirose, H. Obuse, T. Ohtsuki and K. Slevin
  • Journal Title: Journal of Physics : Conference Series 150(2) Pages: 22041-22041
  • Peer Reviewed
• [Journal Article] Quantum transport in novel Chalker-Coddington model (2009)
  • Author(s): K. Hirose, T. Ohtsuki, and K. Slevin
  • Journal Title: Physica E : Low- dimensional Systems and Nanostructures 40(5) Pages: 1677-1680
  • Peer Reviewed
• [Journal Article] Transport properties in network models with perfectlyconducting channels (2009)
  • Author(s): K. Kobayashi, K. Hirose, H. Obuse, T. Ohtsuki, K. Slevin
  • Journal Title: Journal of Physics 150 Pages: 22041-22041
  • Peer Reviewed
• [Journal Article] Conductance-plateau transitions in quantum Hall wires with spatially correlated random magnetic fields (2008)
  • Author(s): T. Kawarabayshi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
  • Journal Title: Phys. Rev. B 78 Pages: 205303-205303
  • Peer Reviewed
• [Journal Article] The quantum Hall effect in narrow quantum wires Physica B (2008)
  • Author(s): A. Struck, T. Kawarabayashi, A. Zhuravlev, T. Ohtsuki, B. Kramer, S. Kettemann
  • Journal Title: Vol.245 Pages: 393-408
  • Peer Reviewed
• [Journal Article] Quantum transport properties of quantum Hall wires in the presence of correlated disorder Physica E (2008)
  • Author(s): T. Kawarabayashi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
  • Journal Title: Vol.40 Pages: 1072-1074
  • Peer Reviewed
• [Journal Article] Chalker-Coddington model described by an S-matrix with odd dimensions Physica E (2008)
  • Author(s): K. Hirose, T. Ohtsuki, K. Slevin
  • Journal Title: Vol.40 Pages: 1677-1679
  • Peer Reviewed
• [Journal Article] Conductance-plateau transitions in Quantum Hall wireswith spatially correlated random magnetic fields (2008)
  • Author(s): T. Kawarabayshi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
  • Journal Title: Physical Review B 78
  • Peer Reviewed
• [Journal Article] Quantum transport in novel Chalker-Coddington model (2008)
  • Author(s): K. Hirose, T. Ohtsuki, K. Slevin
  • Journal Title: Physica E 40/5 Pages: 1677-1680
  • Peer Reviewed
• [Journal Article] Mesoscopic Hall effect driven by chiral spin order (2007)
  • Author(s): J. Ohe, T. Ohtsuki, B. Kramer
  • Journal Title: Phys. Rev. B 75 Pages: 245313-245313
  • Peer Reviewed
• [Journal Article] Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder (2007)
  • Author(s): T. Kawarabayshi, Y. Ono, T. Ohtsuki, S. Kettemann, A. Struck, B. Kramer
  • Journal Title: Phys. Rev. B 75 Pages: 235317-235317
  • Peer Reviewed
• [Journal Article] Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder (2007)
  • Author(s): T. Kawarabayashi, et. al.
  • Journal Title: Physical Review B 75 Pages: 235317-235317
  • Peer Reviewed
• [Journal Article] Mesoscopic Hall effect driven by chiral spin order (2007)
  • Author(s): J. Ohe, T. Ohtsuki, B. Kramer
  • Journal Title: Physical Review B 75 Pages: 245313-245313
  • Peer Reviewed
• [Journal Article] Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below (2006)
  • Author(s): Y. Asada, K. Slevin, and T. Ohtsuki
  • Journal Title: Physica E : Low-dimensional Systems and Nanostructures 34(1-2) Pages: 228-231
  • Peer Reviewed
• [Journal Article] Spin-polarization induced by Rashba spin-orbit coupling in three-terminal devices Physica E (2006)
  • Author(s): M. Yamamoto, K. Dittmer, B. Kramer, T. Ohtsuki
  • Journal Title: 32 Pages: 462-465
  • Peer Reviewed
• [Journal Article] Shubnikov-de Haas effect on conductance fluctuations in two-dimensional random magnetic fields Physica E (2006)
  • Author(s): T. Kawarabayashi, T. Ohtsuki
  • Journal Title: 34 Pages: 104-107
  • Peer Reviewed
• [Journal Article] Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons (2006)
  • Author(s): Y. Asada, K. Slevin, T. Ohtsuki
  • Journal Title: Phys. Rev. B 73
  • Peer Reviewed
• [Journal Article] Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below (2006)
  • Author(s): Yoichi Asada, Keith Slevin, Tomi Ohtsuki
  • Journal Title: Physica E 34 Pages: 228-228
• [Journal Article] Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons. (2006)
  • Author(s): Yoichi Asada, Keith Slevin, Tomi Ohtsuki
  • Journal Title: Physical Review B 73
• [Journal Article] Spin polarization in a T-shape conductor induced by strong Rashba spin-orbit coupling (2005)
  • Author(s): M. Yamamoto, T. Ohtsuki B. Kramer
  • Journal Title: Phys. Rev. B 72 Pages: 115321-115321
  • Peer Reviewed
• [Journal Article] Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires (2005)
  • Author(s): A. Struck, B. Kramer, T. Ohtsuki, S. Kettemann
  • Journal Title: Phys. Rev. B 72 Pages: 35339-35339
  • Peer Reviewed
• [Journal Article] Mesoscopic Stern-Gerlach spin filter by nonuniform spin-orbit interaction (2005)
  • Author(s): J. Ohe, M. Yamamoto, T. Ohtsuki, J. Nitta
  • Journal Title: Phys. Rev. B 72
  • NAID: 120003780438
  • Peer Reviewed
• [Journal Article] Anderson Transition in the Three Dimensional Symplectic Universality Class J (2005)
  • Author(s): Y. Asada, K. Slevin, T. Ohtsuki
  • Journal Title: Phys. Soc. Jpn. Suppl 74 Pages: 238-238
  • Peer Reviewed
• [Journal Article] Transport properties in disordered magnetic fields with a fixed sign (2005)
  • Author(s): T. Kawarabayashi and T. Ohtsuki
  • Journal Title: Phys. Rev. B 1-5 Pages: 71045302-71045302
  • Peer Reviewed
• [Journal Article] Random network models and quantum phase transitions in two dimensions Physics Reports (2005)
  • Author(s): B. Kramer, T. Ohtsuki, S. Kettemann
  • Journal Title: 417 Pages: 211-344
  • Peer Reviewed
• [Journal Article] Spin polarization in a T-shape conductor induced by strong Rashba spin-orbit coupling (2005)
  • Author(s): M.Yamamoto, T.Ohtsuki, B.Kramer
  • Journal Title: Physical Review B 72 Pages: 115321-115321
• [Journal Article] Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires (2005)
  • Author(s): A.Struck, B.Kramer, T.Ohtsuki, S.Kettemann
  • Journal Title: Physical Review B 72 Pages: 35339-35339
• [Journal Article] Mesoscopic Stern-Gerlach spin filter by nonuniform spin-orbit interaction (2005)
  • Author(s): J.Ohe, M.Yamamoto, T.Ohtsuki, Junsaku Nitta
  • Journal Title: Physical Review B 72
  • NAID: 120003780438
• [Journal Article] Random network models and quantum phase transitions in two dimensions (2005)
  • Author(s): B.Kramer, T.Ohtsuki, S.Kettemann
  • Journal Title: Physical Reports 417 Pages: 211-211
• [Journal Article] Transport properties in disordered magnetic fields with a fixed sign (2005)
  • Author(s): T.Kawarabayashi, T.Ohtsuki
  • Journal Title: Physical Review B 71 Pages: 45302-45302
• [Presentation] ランダム作用素のスペクトルと関連する話題 (2008)
  • Author(s): K. Slevin
  • Organizer: 京都大学大学院人間・環境学研究科
  • Place of Presentation: Kyoto
  • Year and Date: 2008-11-27
• [Presentation] Critical conductance distributions at the localization-delocalization transitions (2008)
  • Author(s): T. Ohtsuki
  • Organizer: Delocalization Transition and Multifractality
  • Place of Presentation: Gregynog
  • Year and Date: 2008-11-04
• [Presentation] Numerical estimates of critical exponents of the Anderson transition (2008)
  • Author(s): Keith Slevin
  • Organizer: Delocalization Transitions and Multifractality
  • Place of Presentation: Wales University UK
  • Year and Date: 2008-11-04
• [Presentation] Critical conductance distributions at the localization-delocalization transitions (2008)
  • Author(s): Tomi Ohtsuki
  • Organizer: Delocalization Transitions and Multifractality
  • Place of Presentation: Wales University UK
  • Year and Date: 2008-11-04
• [Presentation] Recent Developments and Open Questions in Anderson Localisation (2008)
  • Author(s): K. Slevin
  • Organizer: Fest for John Pendry
  • Place of Presentation: London
  • Year and Date: 2008-09-29
• [Presentation] Recent Development and Open Questions in Anderson Localisation (2008)
  • Author(s): Keith Slevin
  • Organizer: A Fest for Sir John Pendry FRS
  • Place of Presentation: Imperial College London, UK
  • Year and Date: 2008-09-29
• [Presentation] Scaling Theory : Latest Results (2008)
  • Author(s): K. Slevin
  • Organizer: 6th International workshop on disordered systems
  • Place of Presentation: La Falda
  • Year and Date: 2008-09-11
• [Presentation] Sealing Theory : Latest Results (2008)
  • Author(s): Keith Slevin
  • Organizer: 6^<th> International Workshop on Disordered Systerns
  • Place of Presentation: La Falda, Cordoba Argentina
  • Year and Date: 2008-09-11
• [Presentation] Localization : the Scaling Theory (2008)
  • Author(s): K. Slevin
  • Organizer: 6th International workshop on disordered systems
  • Place of Presentation: La Falda
  • Year and Date: 2008-09-09
• [Presentation] Corrections to Scaling and Critical Exponents in the 2D Anderson Transition (2008)
  • Author(s): K. Slevin
  • Organizer: Network Models in Quantum Physics
  • Place of Presentation: Bremen
  • Year and Date: 2008-07-23
• [Presentation] Corrections to Sealing and Critical Exponents in the 2D Anderson Transition (2008)
  • Author(s): Keith Slevin
  • Organizer: Network Models in Quantum Phys ics
  • Place of Presentation: Jacbos University Bremen, Germany
  • Year and Date: 2008-07-23
• [Presentation] Finite Size Scaling and Application to disordered Systems (2008)
  • Author(s): K. Slevin
  • Organizer: Network Models in Quantum Physics
  • Place of Presentation: Bremen
  • Year and Date: 2008-07-22
• [Presentation] Numerical Simulations of Anderson Localisation in Systems with Spin-Orbit Scattering (2007)
  • Author(s): K. Slevin
  • Organizer: Physics of Nanostructures and Nanomaterials
  • Place of Presentation: Bariloche
  • Year and Date: 2007-12-10
• [Presentation] Numerical Simulations of Anderson Localisation in Systems with Spin-Orbit Scattering (2007)
  • Author(s): Keith Slevin
  • Organizer: Physics of Nanostructures and Nanomaterials
  • Place of Presentation: Bariloche, Argentina
  • Year and Date: 2007-12-10
• [Presentation] Localization : a condensed matter physicists'view (2006)
  • Author(s): K. Slevin
  • Organizer: Spectral Theory of Random Schrodinger Operators and Related Fields in Probability Theory
  • Place of Presentation: Kyoto
  • Year and Date: 2006-12-15
• [Presentation] Numerical Simulations of Anderson Localisation (2006)
  • Author(s): K. Slevin
  • Organizer: 5th International Workshop on Disordered Systems
  • Place of Presentation: Maceio
  • Year and Date: 2006-09-19
• [Presentation] Is there an Anderson Transition below 2D (2005)
  • Author(s): K. Slevin
  • Organizer: CMT29
  • Place of Presentation: Kizu
  • Year and Date: 2005-09-16
• [Book] Quantum Network Models and their Symmetry Properties in "Topological Aspects of Critical Systems and Networks" (2007)
  • Author(s): T. Ohtsuki, K. Slevin
  • Publisher: ed. K. Yakubo et. al. (World Scientific)