Takahiro FUKUIProfessor
■Researcher basic information
Organization
Educational Background
■Research activity information
Paper
- Flow of unitary matrices: Real-space winding numbers in one and three dimensions
Fumina Hamano; Takahiro Fukui, American Physical Society (APS)
Physical Review B, 24 Jul. 2024, [Reviewed] - Higher-order topological heat conduction on a lattice for detection of corner states
Takahiro Fukui; Tsuneya Yoshida; Yasuhiro Hatsugai, Lead, American Physical Society (APS)
Physical Review E, 07 Aug. 2023, [Reviewed] - Chern Numbers Associated with the Periodic Toda Lattice
Kyoka Sato; Takahiro Fukui, Corresponding, Physical Society of Japan
Journal of the Physical Society of Japan, 15 Jul. 2023, [Reviewed] - Moiré Landau levels of a C4-symmetric twisted bilayer system in the absence of a magnetic field
Y. Soeda; K. Asaga; and T. Fukui, Corresponding
Phys. Rev. B, 20 Apr. 2022, [Reviewed] - Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
S. Makino; T. Fukui; T. Yoshida; and Y. Hatsugai, Corresponding
Phys. Rev. E, 24 Feb. 2022, [Reviewed] - Diophantine equation for the Rice-Mele model: Topological aspect of filling numbers and associated spatial pump
K. Asaga and T. Fukui
J. Phys. Soc. Jpn., 05 Aug. 2021, [Reviewed] - Theory of edge states based on the hermiticity of tight-binding Hamiltonian operators
T. Fukui
Phys. Rev. Research, Oct. 2020, [Reviewed] - Boundary-obstructed topological phases of a massive Dirac fermion in a magnetic field
K. Asaga and T. Fukui, Corresponding
Phys. Rev. B, Oct. 2020, [Reviewed] - Higher-order topological insulators in a magnetic field
Yuria Otaki and Takahiro Fukui
Phys. Rev. B, 05 Dec. 2019, [Reviewed] - Edge states, corner states, and flat bands in a two-dimensional PT-symmetric system
Akira Yoshida; Yuria Otaki; Rimako Otaki; and Takahiro Fukui, Corresponding
Phys. Rev. B, 12 Sep. 2019, [Reviewed] - Dirac fermion model associated with a second-order topological phase
T. Fukui
Phys. Rev. B, 19 Apr. 2019, [Reviewed] - Bulk-edge correspondence in topological transport and pumping
Ken-Ichiro Imura; Yukinori Yoshimura; Takahiro Fukui; Yasuhiro Hatsugai
28TH INTERNATIONAL CONFERENCE ON LOW TEMPERATURE PHYSICS (LT28), 2018, [Reviewed] - Entanglement polarization for the topological quadrupole phase
T. Fukui and Y. Hatsugai
Phys. Rev. B 98, 2018, [Reviewed] - Topological magnetoelectric pump in three dimensions
Takahiro Fukui; Takanori Fujiwara
PHYSICAL REVIEW B, Nov. 2017, [Reviewed] - Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
Hiromu Araki; Takahiro Fukui; Yasuhiro Hatsugai
PHYSICAL REVIEW B, Oct. 2017, [Reviewed] - Streda Formula for the Hofstadter-Wilson-Dirac Model in Two and Four Dimensions
Takahiro Fukui; Takanori Fujiwara
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Dec. 2016, [Reviewed] - A Spin Pump Characterized by Entanglement Chern Numbers
Takahiro Fukui; Yasuhiro Hatsugai
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Aug. 2016, [Reviewed] - Bulk-edge correspondence in topological pumping
Y. Hatsugai; T. Fukui
PHYSICAL REVIEW B, Jul. 2016, [Reviewed] - Entanglement Chern Number of the Kane-Mele Model with Ferromagnetism
Hiromu Araki; Toshikaze Kariyado; Takahiro Fukui; Yasuhiro Hatsugai
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Apr. 2016, [Reviewed] - Disentangled Topological Numbers by a Purification of Entangled Mixed States for Non-Interacting Fermion Systems
Takahiro Fukui; Yasuhiro Hatsugai
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Apr. 2015 - Entanglement Chern Number for an Extensive Partition of a Topological Ground State
Takahiro Fukui; Yasuhiro Hatsugai
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Nov. 2014 - Characterizing weak topological properties: Berry phase point of view
Yukinori Yoshimura; Ken-Ichiro Imura; Takahiro Fukui; Yasuhiro Hatsugai
PHYSICAL REVIEW B, Oct. 2014, [Reviewed] - Symmetry Protected Weak Topological Phases in a Superlattice
Takahiro Fukui; Ken-Ichiro Imura; Yasuhiro Hatsugai
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jul. 2013, [Reviewed] - Spherical topological insulator
Ken-Ichiro Imura; Yukinori Yoshimura; Yositake Takane; Takahiro Fukui
PHYSICAL REVIEW B, Dec. 2012, [Reviewed] - Bulk-Edge Correspondence for Chern Topological Phases: A Viewpoint from a Generalized Index Theorem
Takahiro Fukui; Ken Shiozaki; Takanori Fujiwara; Satoshi Fujimoto
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Nov. 2012, [Reviewed] - Index theorem for topological heterostructure systems
Ken Shiozaki; Takahiro Fukui; Satoshi Fujimoto
PHYSICAL REVIEW B, Sep. 2012, [Reviewed] - Generalized index theorem for topological superconductors with Yang-Mills-Higgs couplings
Takanori Fujiwara; Takahiro Fukui
PHYSICAL REVIEW D, Jun. 2012, [Reviewed] - Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
Ken-Ichiro Imura; Takahiro Fukui; Takanori Fujiwara
NUCLEAR PHYSICS B, Jan. 2012, [Reviewed] - Majorana Fermions and Z(2) Vortices on a Square Lattice
Kouta Ejima; Takahiro Fukui
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Dec. 2011, [Reviewed] - Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
Takanori Fujiwara; Takahiro Fukui; Muneto Nitta; Shigehiro Yasui
PHYSICAL REVIEW D, Oct. 2011, [Reviewed] - Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
T. Fujiwara; T. Fukui; M. Nitta; and S. Yasui
Phys. Rev. D, 2011, [Reviewed] - Z(2) index theorem for Majorana zero modes in a class D topological superconductor
Takahiro Fukui; Takanori Fujiwara
PHYSICAL REVIEW B, Nov. 2010, [Reviewed] - Majorana zero modes bound to a vortex line in a topological superconductor
Takahiro Fukui
PHYSICAL REVIEW B, Jun. 2010, [Reviewed] - Topological Stability of Majorana Zero Modes in Superconductor-Topological Insulator Systems
Takahiro Fukui; Takanori Fujiwara
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Mar. 2010 - Quantization of Non-Abelian Berry Phase for Time-Reversal-Invariant Systems
Takahiro Fukui; Takanori Fujiwara
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 2009, [Reviewed] - A Z2 index of Dirac operator with time reversal symmetry
T. Fukui and T. Fujiwara
J. Phys. A: Math. Theor., 2009, [Reviewed] - Topological Meaning of Z_2 Numbers in Time Reversal Invariant Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
FUKUI, Takahiro; FUJIWARA, Takanori; HATSUGAI, Yasuhiro, We show that the Z_2 invariant, which classifies the topological properties of time reversal invariant insulators, has deep relationship with the global anomaly. Although the second Chern number is the basic topological invariant characterizing time reversal systems, we show that the relative phase between the Kramers doublet reduces the topological quantum number Z to Z_2., The Physical Society of Japan (JPS)
Journal of the Physical Society of Japan, Dec. 2008, [Reviewed] - Topological low-energy modes in $N=0$ Landau levels of graphene:,A possibility of a quantum-liquid ground state
Y. Hatsugai; T. Fukui; and H. Aoki
Physica, 2008, [Reviewed] - Topological meaning of Z$_2$ numbers in time reversal invariant systems
T. Fukui; T. Fujiwara; and Y. Hatsugai
J. Phys. Soc. Jpn, 2008, [Reviewed] - Topological aspects of quantum spin Hall effect in graphene:,Z2 topological order and spin Chern number
T. Fukui and Y. Hatsugai
Phys. Rev. B, 2007, [Reviewed] - Quantum spin Hall effect in three dimensional materials: Lattice computation of Z2 topological invariants and its application to Bi and Sb
T. Fukui and Y. Hatsugai
J. Phys. Soc. Jpn., 2007, [Reviewed] - Topological aspect of graphene: Dirac fermions and the bulk-edge correspondence in magnetic fields
Y. Hatsugai; T. Fukui; and H. Aoki
Eur. phys. J. Special Topic, 2007, [Reviewed] - Topological aspects of quantum Hall effect in graphene
H. Aoki; T. Fukui; and Y. Hatsugai
I. J. Mod. Phys, 2007, [Reviewed] - Topological description of (spin) Hall conductances on Brillouin zone lattices: quantum phase transitions and topological changes
Y. Hatsugai; T. Fukui and H. Suzuki
Physica E, 2006, [Reviewed] - Topological analysis of the quantum Hall effect in,graphene: Dirac-Fermi transition across van Hove,singularities ,and edge versus bulk quantum numbers
Y. Hatsugai; T. Fukui; and H. Aoki
Phys Rev B, 2006 - Chern numbers in a discritized Brillouin zone:,Efficient method of computing (spin) Hall conductances
T. Fukui; Y. Hatsugai; and H. Suzuki, We present a manifestly gauge-invariant description of Chern numbers
associated with the Berry connection defined on a discretized Brillouin zone.
It provides an efficient method of computing (spin) Hall conductances without
specifying gauge-fixing conditions. We demonstrate that it correctly reproduces
quantized Hall conductances even on a coarsely discretized Brillouin zone. A
gauge-dependent integer-valued field, which plays a key role in the
formulation, is evaluated in several gauges. An extension to the non-Abelian
Berry connection is also given.
J. Phys. Soc. Jpn., 2005 - On the finite temperature Drude weight of the anisotropic ,Heisenberg chain
J. Benz; T. Fukui; A. Kl\"umper; and C. Scheeren
J. Phys. Soc. Jpn. Suppl., 2005 - Exact renormalization group approach to a nonlinear diffusion equation
S. Yoshida and T. Fukui
Phys. Rev. E, 2005 - Random hopping fermions on bipartite lattices:,Density of states, inverse participation ratios, and,their correlations in a strong disorder regime
H. Yamada and T. Fukui
Nucl. phys. B, 2004 - Perturbative calculation of the spin-wave dispersion in a,disordered double-exchange model
T. Semba and T. Fukui
J. Phys. Soc. Jpn., 2004 - Two-dimensional Dirac fermions with random axial-vector potentials
T. Fukui; H. Emura; and H. Yamada
Phys. Rev. B, 2002 - Various delocalized phases of disordered fermion model on two-dimensional,square lattice with $\pi$-flux
T. Fukui
Phys. Rev. B, 2001 - Anderson localization for two-dimensinal random hopping model with SU(2) symmetry
T Fukui
Nucl Phys B, 2000 - Characterization of ferrimagnetic Heisenberg chains according to the constituent spins
S. Yamamoto; T. Fukui; and T. Sakai
Euro. Phys. J., 2000 - Thermodynamic properties of Heisenberg ferrimagnetic spin chains
S. Yamamoto and T. Fukui
Phys. Rev. B, 1998 - Breakdown of the Mott insulator : Exact solution of an asymmetric Hubhard model
T. Fukui and N. Kawakami
Phys. Rev. B, 1998 - Nuclear spin-lattice relaxation in quantum spin gap of,1-D $S=1$ and $S=1/2$ antiferromagnets
M. Chiba; T. Kubo; M. Hagiwara; Y. Ajiro; T. Asano; and T. Fukui
J. Magnetism and Magnetic Materials, 1998 - High field NMR on level crossover in spin-gap systems
M. Chiba; T. Fukui; Y. Ajiro; M. Hagiwara; T. Goto and T. Kubo
Physica B, 1998 - Mixed-spin ladders and plaquette spin chains
A. Koga; S. Kumada; N. Kawakami; and T. Fukui
J. Phys. Soc. Jpn., 1998 - Spectral flow of non-hermitian Heisenberg spin chain with,complex twist
T. Fukui and N. Kawakami
Nucl. Phys. B, 1998 - Combination of ferromagnetic and antiferromagnetic features,in Heisenberg ferrimagnets
S. Yamamoto; T. Fukui; K. Maisinger; and U. Schollw\"ock
J. Phys. Condens. Matter, 1998 - SU($,u$) generalization of the twisted Haldane-Shastry model
T. Fukui and N. Kawakami
Nucl. Phys. B, 1997 - Disorder effects on 1D correlated electron systems
N. Kawakami; S. Fujimoto; and T. Fukui
Proceedings of the workshop on Quantum Field Theoretical Approach to Low Dimensional Physics, 1997 - Exact solutions and spectral flow for twisted Haldane-Shastry model
T. Fukui and N. Kawakami
Phys. Rev. Lett., 1996 - Adiabatic ground state properties of spin chains with twisted boundary conditions
T. Fukui and N. Kawakami
J. Phys. Soc. Jpn., 1996 - Higher-spin generalization of fractional exclusion statistics
T. Fukui; N. Kawakami; and S.-K. Yang
J. Phys. Soc. Jpn., 1996 - Spectral flow in the supersymmetric $t$-$J$ model with a,$1/r^2$ interaction
T. Fukui and N. Kawakami
Phys. Rev. B, 1996 - Haldane's fractional exclusion statistics for multicomponent systems
T. Fukui and N. Kawakami
Phys. Rev. B, 1995 - Transport coefficients, effective charge and mass for ,multicomponent systems with fractional exclusion statistics
T. Fukui and N. Kawakami
J. Phys. A, 1995 - A coherent state associated with shape-invariant potentials
T. Fukui and N. Aizawa
Proc. of the XIIth workshop on Geometric Methods in Physics, Bialowieza, Poland, July 1-7, 1993 (Plenum Press 1994), 1994 - Fluctuation path integrals in the generalized coherent,states representation
T. Fukui
J. Math. Phys., 1993 - Shape-invariant potentials for systems with multi-component,wave functions
T. Fukui
Phys. Lett. A, 1993 - Shape-invariant potentials and an associated coherent state
T. Fukui and N. Aizawa
Phys. Lett. A, 1993 - Analysis of dynamical effects on geometric phase by means of time-dependent variational principle
T. Fukui and Y. Tsue
Prog. Theor. Phys., 1992 - On the extra phase accompanying Berry's phase,in terms of coherent state path integral
T. Fukui
Prog. Theor. Phys., 1992 - Diabatic approach to shape coexistence phenomena in semi-magic ,nuclei I. --- Illustration of basic ideas ---
T. Fukui; M. Matsuo; and K. Matsuyanagi
Prog. Theor. Phys., 1991
MISC
- トポロジーを用いた問題解決
福井隆裕
数理科学, 01 Sep. 2022, [Invited] - 19aCR-8 Entanglement Chern Number of Kane-Mele Model under Magnetic Field and its Novel Phases
Araki H.; Kariyado T.; Fukui T.; Hatsugai Y.
Meeting Abstracts of the Physical Society of Japan, 2015 - 27pBF-7 Characterization of two-dimensional weak topological phases
Yoshimura Y.; Imura K.-I.; Fukui T.; Hatsugai Y.
Meeting abstracts of the Physical Society of Japan, 05 Mar. 2014 - Topological phases in a superlattice.
Fukui T.; Imura K.-I.; Hatsugai Y.
Meeting abstracts of the Physical Society of Japan, 26 Aug. 2013 - One-dimensional topological insulator and its superlattice extension
Okamoto M.; Imura K.-I.; Takane Y.; Fukui T.; Hatsugai Y.
Meeting abstracts of the Physical Society of Japan, 26 Aug. 2013 - 20pEA-4 Index theorem for topological insulator heterostructure systems
Shiozaki Ken; Fukui Takahiro; Fujimoto Satoshi
Meeting abstracts of the Physical Society of Japan, 24 Aug. 2012 - 18aAD-9 Bulk-edge correspondence for Dirac-like systems : A viewpoint from a generalzed index theorem
Fukui Takahiro; Fujiwara Takanori; Shiozaki Ken; Fujimoto Satoshi
Meeting abstracts of the Physical Society of Japan, 24 Aug. 2012 - 21aWA-6 A simple method of computing Z_2 invariants for Quantum spin Hall effect and its application to 3D materials
Fukui Takahiro; Hatsugai Yasuhiro
Meeting abstracts of the Physical Society of Japan, 21 Aug. 2007 - 31a-L-10 Adiabatic transport properties of spin chins in one dimension
Fukui T.; Kawakami N.
Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996
Lectures, oral presentations, etc.
