Publications

Publications

1. Topological phases in a PT-Symmetric Dissipative Kitaev Chain
   Makio Kawasaki and Hideaki Obuse
   arXiv:2301.08446 (accepted for publication in JPS Conference Proceedings (LT29))

2. Multi-Dimensional Quantum Walks: a Playground of Dirac and Schrödinger Particles
   Manami Yamagishi, Naomichi Hatano, Ken-Ichiro Imura, Hideaki Obuse
   arXiv:2212.13044

3. Topological phases protected by sublattice symmetry in dissipative quantum systems
   Makio Kawasaki, Ken Mochizuki, Hideaki Obuse
   Phys. Rev. B 106, 035408(2022); arXiv:2201.09283

4. Extrinsic topology of Floquet anomalous boundary states in quantum walks
   Takumi Bessho, Ken Mochizuki, Hideaki Obuse, Masatoshi Sato
   Phys. Rev. B 105, 094306(2022);  arXiv:2112.03167

5. Delocalization of a non-Hermitian quantum walk on random media in one dimension
   Naomichi Hatano, Hideaki Obuse
   Annals of Physics 435, 168615 (2021)

6. with コロナでの国際会議のカタチ――Localisation 2020 の取組み
   小布施秀明
   Butsuri (in Japanese) 76, 375 (2021)

7. Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
   Ken Mochizuki, Dakyeong Kim, Norio Kawakami, Hideaki Obuse
   Physical Review A 102, 062202 (2020)

8. Bulk–edge correspondence and stability of multiple edge states of a PT-symmetric non-Hermitian system by using non-unitary quantum walks
   Makio Kawasaki, Ken Mochizuki, Norio Kawakami, Hideaki Obuse
   Progress of Theoretical and Experimental Physics 12, 12A105 (2020)

9. Topological quantum walk with discrete time-glide symmetry
   Ken Mochizuki, Takumi Bessho, Masatoshi Sato, Hideaki Obuse
   Physical Review B 102, 035418 (2020)

10. Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
    Ken Mochizuki, Naomichi Hatano, Joshua Feinberg, Hideaki Obuse
    Physical Review E 102, 012101 (2020)

11. Stability of topologically protected edge states in nonlinear quantum walks: additional bifurcations unique to Floquet systems
    Ken Mochizuki, Norio Kawakami, Hideaki Obuse
    Journal of Physics A: Mathematical and Theoretical 53, 085702 (2020)

12. Relation between two-phase quantum walks and the topological invariant
    Takako Endo, Norio Konno, and Hideaki Obuse
    Yokohama Mathematical Journal,66,1-59 (2020) ; arXiv:1511.04230

13. 量子ウォークのトポロジカル相と光の振幅制御への応用
    小布施秀明， 望月健， 金多景， 川上則雄
    Butsuri (in Japanese) 74, 11 (2019)

14. Higher winding number in a nonunitary photonic quantum walk
    Lei Xiao, Xingze Qiu, Kunkun Wang, Zhihao Bian, Xiang Zhan, Hideaki Obuse, Barry C Sanders, Wei Yi, Peng Xue
    Physical Review A 98, 063847 (2018)

15. Observation of topological edge states in parity-time-symmetric quantum walks
    L. Xiao, X. Zhan, Z.H. Bian, K.K. Wang, X.Zhang, X.P.Wang, J.Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi, H. Obuse, B.C. Sanders, and P. Xue
    Nature Physics 13, 1117 (2017)

16. Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
    Takako Endo, Norio Konno, Hideaki Obuse, and Etsuo Segawa
    J. Phys. A Mathematical and Theoretical 50, 455302 (2017)

17. Effects of disorder on non-unitary PT symmetric quantum walks
    Ken Mochizuki and Hideaki Obuse
    Interdisciplinary Information Sciences  23, 95 (2017); arXiv:1608.00719

18. Explicit definition of PT symmetry for non-unitary quantum walks with gain and loss
    Ken Mochizuki, Dakyeong Kim, and Hideaki Obuse
    Phys. Rev. A 93, 062116 (2016); arXiv:1603.05820

19. Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
    Hideaki Obuse, Janos K. Asboth, Yuki Nishimura, and Norio Kawakami
    Phys. Rev. B 92, 045424 (2015); arXiv:1505.03264

20. Entanglement Properties of Localized States in 1D Topological Quantum Walks
    C.M. Chandrashekar, Hideaki Obuse, and Thomas Busch
    arXiv:1502.00436

21. Recent Progresses on Anderson Transitions (a review article in Japanese)
    Hideaki Obuse
    Butsuri (in Japanese) 70, 14 (2015)

22. Spin-directed network model for the surface states of weak three-dimensional Z_2 topological insulators
    Hideaki Obuse, Shinsei Ryu, Akira Furusaki, and Christopher Mudry
    Phys. Rev. B 89, 155315 (2014) [Editors' Suggestion] with Supplemental Material; arXiv:1310.1534

23. Statistics of Conductances and Subleading Corrections to Scaling near the Integer Quantum Hall Plateau Transition
    Hideaki Obuse, Soumya Bera, Andreas W. W. Ludwig, Ilya A. Gruzberg, and Ferdinand Evers
    Europhys. Lett. 104, 27014 (2013) [Editor's Choice]; arXiv:1304.6517

24. Bulk-Boundary Correspondence for Chiral Symmetric Quantum Walks
    János K. Asbóth and Hideaki Obuse
    Phys. Rev. B 88, 121406(R) (2013); arXiv:1303.1199

25. Finite Size Effects and Irrelevant Corrections to Scaling near the Integer Quantum Hall Transition
    Hideaki Obuse, Ilya A. Gruzberg, and Ferdinand Evers
    Phys. Rev. Lett. 109, 206804 (2012) with Supplemental Material; arXiv:1205.2763

26. Exact Exponents for the Spin Quantum Hall Transition in the Presence of Multiple Edge Channels
    Roberto Bondesan, Ilya A. Gruzberg, Jesper L. Jacobsen, Hideaki Obuse, and Hubert Saleur
    Phys. Rev. Lett. 108, 126801 (2012) with Supplemental Material; arXiv:1109.4866

27. Topological phases and delocalization of quantum walks in random environments
    Hideaki Obuse and Norio Kawakami
    Phys. Rev. B 84, 195139 (2011); arXiv:1103.5545

28. Conductance distributions in disordered quantum spin-Hall systems
    K. Kobayashi, T. Ohtsuki, H. Obuse, and K. Slevin
    Phys. Rev. B 82, 165301 (2010); arXiv:1007.4073

29. Conformal invariance, multifractality, and finite-size scaling at Anderson localization transitions in two dimensions
    H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W. Ludwig
    Phys. Rev. B 82, 035309 (2010); arXiv:0911.5443

30. The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
    S. Ryu, C. Mudry, H. Obuse, and A. Furusak
    New Journal of Physics 12, 065005 (2010); arXiv:0912.2158

31. Transport properties in network models with perfectly conducting channels
    K. Kobayashi, K. Hirose, H. Obuse, T. Ohtsuki, and K. Slevin
    Journal of Physics: Conference Series 150, 022041 (2009); arXiv:0809.1146

32. Boundary Multifractality at the Integer Quantum Hall Plateau Transition: Implications for the Critical Theory
    H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W. Ludwig
    Phys. Rev. Lett. 101, 116802 (2008); arXiv:0804.2409

33. Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
    H. Obuse, A. Furusaki, S. Ryu, and C. Mudry
    Phys. Rev. B 78, 115301 (2008)[Editors' Suggestion]; arXiv:0805.4043
    -- Article --
    Not your typical insulator
    Physics

34. Corner Multifractality for Reflex Angles and Conformal Invariance at 2D Anderson Metal-Insulator Transition with Spin-Orbit Scattering
    H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W. Ludwig
    Physica E 40, 1404 (2008); arXiv:0709.1018

35. New boundary critical phenomenon at the metal-quantum Spin Hall insulator transition
    Hideaki Obuse
    Proceedings of the 9th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology, ISQM-Tokyo 2008 

36. Anomalously localised states at the Anderson transition
    H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W. Ludwig
    K Yakubo, H Obuse
    The European Physical Journal Special Topics 161 (1), 233-247

37. Mulitfractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
    H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W. Ludwig
    Phys. Rev. Lett. 98, 156802 (2007); arXiv:cond-mat/0609161

-- Articles --
RIKEN Press Release (in Japanese)
Electrons on the edge are fractal
RIKEN Reseach Highlights

38. Z_2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
    S. Ryu, C. Mudry, H. Obuse, and A. Furusaki
    Phys. Rev. Lett. 99, 116601 (2007); arXiv:cond-mat/0702529

-- Article --
The indecisive insulator
RIKEN Reseach Highlights

39. Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
    H. Obuse, A. Furusaki, S. Ryu, and C. Mudry
    Phys. Rev. B 76, 075301 (2007); arXiv:cond-mat/0702199

40. Topological Aspects of Wave Function Statistics at the Anderson Transition
    H Obuse, K Yakubo
    Topology In Ordered Phases:  265 (2006)

41. Critical level statistics and anomalously localized states at the Anderson transition
    H. Obuse and K. Yakubo
    Phys. Rev. B 71, 035102 (2005); arXiv:cond-mat/0405429

42. Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition
    H. Obuse and K. Yakubo
    J. Phys. Soc. Jpn. Suppl. 74, 242 (2005); arXiv:cond-mat/0411628

43. Anomalously Localized States and Multifractality of Critical Wave Functions in Two-Dimensional Electron Systems with Spin-Orbit Interactions
    H. Obuse and K. Yakubo
    Phys. Rev. B 69, 125301 (2004); arXiv:cond-mat/0405470

44. Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition
    H. Obuse and K. Yakubo
    J. Phys. Soc. Jpn. 73, 2164 (2004)

45. Critical transport and anomalously localized states at the Anderson transition
    H. Obuse and K. Yakubo
    Superlattices and Microstructures 34, 557 (2003)

46. Non-universal exponents at the Anderson transition
    H. Obuse and K. Yakubo
    Physica E: Low-dimensional Systems and Nanostructures 18, 276 (2003)

47. Fluctuations of the correlation dimension of critical wavefunctions in two-dimensional symplectic systems
    K Yakubo, H Obuse
    Journal of the Physical Society of Japan 72 (Suppl. A), 143 (2003)

48. The forced oscillator method incorporating the fast time-evolution algorithm
    H Shima, H Obuse, K Yakubo, T Nakayama
    Computer physics communications 142, 418 (2001)