Katsuhiko Higuchi

Last Updated :2025/11/07

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
Web Site
E-mail
khiguchi hiroshima-u.ac.jp
Other Contact Details
1-3-1,Kagamiyama,Higashi-Hiroshima, Japan
TEL : (+81)82-424-7016 FAX : (+81)82-424-7014
Self-introduction
I'm interested in the development of a new energy-band theory and its application to solids. Keywords: First-principles calculation, Density functional theory, electron correlation, superconductivity, Energy band in the magnetic field

Basic Information

Academic Degrees

  • Doctor of Engineering, Tokyo Institute of Technology
  • Master of Engineering, Tokyo Institute of Technology

Research Fields

  • Mathematical and physical sciences;Physics;Condensed matter physics I
  • Mathematical and physical sciences;Physics;Condensed matter physics II
  • Mathematical and physical sciences;Physics;Mathematical physics / Fundamental condensed matter physics

Research Keywords

  • Solid state physics
  • band theory
  • Density-functional theory

Affiliated Academic Societies

  • The Physical Society of Japan

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 2Term, Introduction to Information and Data Sciences
  2. 2025, Liberal Arts Education Program1, Intensive, Introduction to Science
  3. 2025, Liberal Arts Education Program1, Intensive, Introduction to Science
  4. 2025, Undergraduate Education, First Semester, Quantum Mechanics II
  5. 2025, Undergraduate Education, First Semester, Special Study for Graduation A
  6. 2025, Undergraduate Education, Second Semester, Special Study for Graduation B
  7. 2025, Graduate Education (Master's Program) , First Semester, Seminar on Basic Sciences of Matter A
  8. 2025, Graduate Education (Master's Program) , Second Semester, Seminar on Basic Sciences of Matter B
  9. 2025, Graduate Education (Master's Program) , Year, Academic Presentation in Basic Sciences of Matter
  10. 2025, Graduate Education (Master's Program) , 1Term, Exercises in Basic Sciences of Matter A
  11. 2025, Graduate Education (Master's Program) , 2Term, Exercises in Basic Sciences of Matter A
  12. 2025, Graduate Education (Master's Program) , 3Term, Exercises in Basic Sciences of Matter B
  13. 2025, Graduate Education (Master's Program) , 4Term, Exercises in Basic Sciences of Matter B
  14. 2025, Graduate Education (Master's Program) , 1Term, Solid State Physics
  15. 2025, Graduate Education (Master's Program) , Year, Advanced Study in Quantum Matter
  16. 2025, Graduate Education (Doctoral Program) , Year, Advanced Study in Quantum Matter

Research Activities

Academic Papers

  1. Relativistic Tight-Binding Model for Hexagonal Lattice: Application to Graphene, J. Nep. Phys. Soc., 10, 145-151, 202412
  2. Analytical expression for the magnetic susceptibility in terms of magnetic Bloch states, PHYSICAL REVIEW B, 110(19), 20241118
  3. Conventional and unconventional anomalous velocities in multiband systems, Phys. Rev. B, 110, 205131, 202411
  4. Analytical expression of the magnetic susceptibility in terms of magnetic Bloch state, Phys. Rev. B, 110, 195136, 202411
  5. Entanglement entropy of the maximum geminal of the BCS ground state, JOURNAL OF PHYSICS COMMUNICATIONS, 8(4), 20240401
  6. Quantized Hall conductance in graphene by nonperturbative magnetic-field-containing relativistic tight-binding approximation method, PHYSICAL REVIEW B, 108(12), 20230921
  7. Current-density functional theory for bosonic superfluids, JOURNAL OF PHYSICS COMMUNICATIONS, 7(7), 20230701
  8. First-order normal-to-superconductor phase transition of aluminum in magnetic field by current-density functional theory for superconductors, PHYSICAL REVIEW B, 106(18), 20221115
  9. ★, Second-order phase transition of silicon from a band insulator to metal induced by strong magnetic fields, New Journal of Physics, 24, 103028, 2022
  10. ★, First-order normal-to-superconductor phase transition of aluminum in magnetic field by current-density functional theory for superconductors, Phys. Rev. B, 106, 184504, 2022
  11. Superconducting gap and attractive interaction between electrons investigated by the current-density functional theory for superconductors, JOURNAL OF PHYSICS-CONDENSED MATTER, 33(43), 20211027
  12. Cluster decomposition principle and two-electron wave function of the Cooper pair in the BCS superconducting state, J. Phys. Commun, 5, 095003, 2021
  13. Reduction of G-factor due to Rashba Effect in Graphene, J. Appl. Phys., 130, 124303, 2021
  14. Cluster decomposition principle and two-electron wave function of the Cooper pair in the BCS superconducting state, JOURNAL OF PHYSICS COMMUNICATIONS, 5(9), 202109
  15. Magnetic-field and temperature dependence of the superconducting gap through current-density functional theory for superconductors, PHYSICAL REVIEW B, 102(1), 20200727
  16. A Calculation Scheme for the Pair-Density Functional Theory for the Superconductor, JPS Conf., 30, 011066, 2020
  17. Reduced Effective g-Factor in Graphene, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 88(9), 20190915
  18. ★, Time-dependent current-density-functional theory taking into consideration the effect of energy dissipation, PHYSICAL REVIEW A, 100, 062503/1-062503/14, 20191203
  19. Nonperturbative description of the butterfly diagram of energy spectra for materials immersed in a magnetic field, PHYSICAL REVIEW B, 97(19), 20180517
  20. Renormalized Moller-Plesset Correlation Energy Functional Used in the Optimized Effective Potential Method, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 87(1), 20180115
  21. Calculation of magnetic properties of metals by means of the magnetic-field-containing relativistic tight-binding approximation method, PHYSICAL REVIEW B, 95(19), 20170525
  22. Basic Variables to Be Reproduced in the First-Principles Theory for Superconductors: Fluctuation of the Particle Number, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 86(6), 20170615
  23. N-representability of the Jastrow wave function pair density of the lowest-order, SCIENTIFIC REPORTS, 7, 20170808
  24. Current-Density Functional Theory for the Superconductor and Its Exchange-Correlation Energy Functional, JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 86(10), 20171015
  25. Magnetic breakdown investigated by means of the magnetic-field-containing relativistic tight-binding approximation method, PHYSICAL REVIEW B, 96(23), 20171215
  26. Relativistic tight-binding approximation method for materials immersed in a uniform magnetic field: Application to crystalline silicon, PHYSICAL REVIEW B, 91(7), 20150223
  27. Calculation of magnetic oscillations via the magnetic-field-containing relativistic tight-binding approximation method: Revisiting the de Haas-van Alphen effect, PHYSICAL REVIEW B, 91(24), 20150601
  28. Recent Development of the Pair Density Functional Theory, Quantum Matter, 4, 63-68, 2015
  29. Approximate forms of the pair-density-functional kinetic energy on the basis of a rigorous expression with coupling-constant integration, PHYSICAL REVIEW A, 90(6), 20141215
  30. A Proposal of the Approximate Kinetic Energy Functional of the Pair Density Functional Theory, JPS Conf. Proc., 3, 17009, 20140616
  31. Pair density functional theory, COMPUTATIONAL AND THEORETICAL CHEMISTRY, 1003, 91-96, 20130101
  32. Current-density functional theory for a superconductor, INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 113(5), 709-714, 20130305
  33. Scaling method of the pair density functional theory in combination with energy functionals satisfying the virial theorem: Checking the validity via atomic structure calculations, Physical Review A, 87, 032511, 20130501
  34. Checking the validity of the correlated Thomas-Fermi functional in the pair density functional theory, J. Phys.: Conference Series, 454, 012056, 20130601
  35. Pair Density Functional Theory, Computational and Theoretical Chemistry, 1003, 91, 2013
  36. Coupling-constant expression and exact relations for the kinetic-energy functional in pair-density-functional theory, PHYSICAL REVIEW A, 85(6), 20120611
  37. An alternative scheme for calculating the unrestricted Hartree-Fock equation: Application to the boron and neon atoms, PHYSICA B-CONDENSED MATTER, 407(14), 2758-2762, 20120715
  38. Extension of the search region of pair densities by means of the scaling of the electron coordinates, Journal of Physics: Conference Series, 400, 032019, 20120601
  39. A Scheme for Calculating Atomic Structures beyond the Spherical Approximation, J. Modern Phys., 2, 421-430, 20110501
  40. Correction Method for obtaining the variationally best ground-state pair density, Phys. Rev. A, 84, 044502(1-4), 20111001
  41. Density Functional Approach for Calculating the Diagonal Elements of the Second-Order Reduced Density atrix: Restrictive Conditions on the Kinetic Energy Functional, J. Phys. Soc. Jpn., 80, SA122(1-3), 20110401
  42. Exchange-Correlation Potentials of the CDFT in the Vorticity Expansion Approximation, J. Phys. Soc. Jpn., 80, SA123(1-3), 20110401
  43. Self-consistent calculations of the atomic electron affinity and ionization energy with taking effects of the rical distribution of electrons into account, J. Mod. Phys., 2, 1161-1165, 20111001
  44. Sum rules for the exchange-correlation energy functional of the extended constrained-search theory: Application to checking the validity of the vorticity expansion approximation of the current-density functional theory, Phys. Rev. A., 81, 042505/1-8, 20100401
  45. Computational pair density functional theory: a proposal of the kinetic energy functional, Phys. Rev. B., 82, 155135/1-12, 20101001
  46. Checking the Validity of the Vorticity Expansion Approximation of the Current-Density Functional Theory, INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 110(12), 2286-2289, 201010
  47. A Restrictive Condition on Approximate Forms of the Kinetic Energy Functional of the Pair Density Functional Theory, INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 110(12), 2283-2285, 201010
  48. Evaluation of the kinetic energy contribution to the exchange-correlation energy functional in the extended constrained-search theory: Application to the current density functional theory, J. Phys.: Conference Series, 150, 042057, 20090701
  49. A pair density functional theory utilizing the correlated wave function, J. Phys.: Conference Series, 150, 042056, 20090701
  50. Kinetic energy contribution to the exchange-correlation energy functional of the extended-constrained search theory, Physical Review A, 79, 022113, 20090601
  51. Computational scheme for the ground-state pair density, Journal of Physics: Condensed Matter, 21, 064206, 20090401
  52. Consideration of the Effect of the Nonspherical Distribution of Electrons in Atomic Structures, Materials Transactions, 49, 1893, 20080401
  53. Scheme for calculating the orbital-dependent exchange-correlation potential using the virial theorem: Application to atomic systems, Physical Review A, 78, 012501, 20080601
  54. Pair density functional theory utilizing the noninteracting reference system: An effective initial theory, Physical Review B, 78, 125101, 20080701
  55. Simultaneous equations for calculating the ground-state pair density, Journal of Physics, 19, 365219, 20071001
  56. OEP Atomic-structure calculations with Moller-Plesset correlation and orbital polarization, Journal of Magnetism and Magnetic Materials, 310, 1623, 20070801
  57. Density functional scheme for calculating the ground-state pair density, Journal of Magnetism and Magnetic Materials, 310, 990, 20070801
  58. New Practicable Forms for Exchange and Correlation Energy Functionals of the CDFT, Journal of Magnetism and Magnetic Materials, 310, 1065, 20070801
  59. A Proposal for Calculating the Orbital-Dependent Exchange-Correlation Potential by Means of the Virial Theorem, Journal of Physical Society of japan, 76, 054302, 20070701
  60. Comparison between the vorticity expansion approximation and the local density approximation of the CDFT from the viewpoint of sum rules, Journal of Physics: Condensed Matter, 19, 365216, 20071201
  61. A proposal of the approximate scheme for calculating the pair density, Physica B: Condensed Matter, 387, 117, 20070101
  62. Pair density-functional theory by means of the correlated wave function, PHYSICAL REVIEW A, 75(4), 042510, 200704
  63. Vorticity expansion approximation of the exchange and correlation energy functionals in current-density functional theory, Physical Review B, 74, 195122, 20061201
  64. Virial and scaling relations for the exchange-correlation energy functional in the extended constrained-search theory, Chimia, 59, 419, 20051101
  65. Extended constrained-search theory: arbitrary choice of basic variables in 0density functional theory, Chimia, 59, 413, 20051101
  66. Exchange-correlation energy functional and virial theorem in the extended 0constrained-search theory, Physical Review B, 71, 035116, 20050801
  67. Mobility and number fluctuations in MOS structures, Jpn. J. Appl. Phys., 44, 2198, 20051201
  68. Low-frequency noise generated from high-field region in AlGaAs/InGaAs HEMTs, Jpn. J. Appl. Phys., 44, 2496, 20050401
  69. Low-Frequency Noise Caused by Substrate Current in AlGaAs/InGaAs HEMTs, Japanese Journal of Applied Physics, 43(4B), 1937-1940, 20040401
  70. Arbitrary Choice of Basic Variables in Density Functional Theory. I. Formalism, Physical Review B, 69, 035113, 20040401
  71. Density functional theory with arbitrary basic variables, Journal of Magnetism and Magnetic Materials, 272-276, 659, 20041101
  72. Arbitrary Choice of Basic Variables in density-functional. II. Illustrative Applications, Physical Review B, 69, 165118, 20040801
  73. Dominant noise source of low-frequency fluctuation in AlGaAs/InGaAs high electron mobility transistors, Japanese Journal of Applied Physics, 42, 2296, 20030401
  74. Scheme for the energy-band calculation under the external magnetic field, Physica B, 329-333, 127, 20030801
  75. Sum rules and bounds on the exchange and correlation energy functional of the current-density functional theory, Physical Review B, 65, 195122, 20020401
  76. Exchange and correlation energy functional in the current-density functional theory, Physica B, 534, 20020401
  77. Sum Rules for Exchange and Correlation Energy Functional in the Current-Density Functional Theory, Journal of the Korean Physical Society, 40, 1060, 20020401
  78. InAs/AlInAsSb inverse modulation-doped heterostructures grown by molecular beam epitaxy, Proc. of the 10th International Conference on Narrow Gap Semiconductors and Related Small Energy Phenomena, Physics and Applications, 36-38, 20010801
  79. Relativistic band theory under an electromognetic field: A relativistic current and spin density functional theory for the infinite system, 5th International Workshop on Similarity in Diversity, 171-180, 20000101
  80. Magnetic Bloch Function in Current Density Functional Theory, Physica B, 284, 1193-1194, 20000401
  81. High breakdown voltage of InAlAs/InGaAs HEMTs with wide-recess structure, Japanese Journal of Applied Physics, 38(2B), 267-270, 19990201
  82. Optimum design and fabrication of InAlAs/InGaAs HEMTs on GaAs with both high breakdown voltage and high maximum frequency of oscillation, IEEE Transactions on Electron Devices, 46(7), 1312-1318, 19990701
  83. Annelaing effects on lattice-strain-relaxed In0.5Al0.5As/In0.5Ga0.5As heterostructures grown on GaAs substrates, Journal of Crystal Growth, 201(8), 271-275, 19990401
  84. Sharp luminescent lines from single three-dimensionally confined GaAs/AlAs structures grown on a patterned GaAs substrate, Physical Review B, 60(19), 13727-13734, 19990401
  85. High-performance HEMT with an Offset-Gate Structure for Millimeter-Wave MMICs, Jpn. J. Appl. Phys., 37(3B), 1373-1376, 19980301
  86. High breakdown voltage and high fmax InAlAs/InGaAs HEMTs on GaAs, Proc. of 1998 International Conference on Indium Phosphide and Related Materials, 501-504, 1998
  87. InAlAs/InGaAs HEMTs with uniform threshold voltage fabricated by selective wet-etching using adipic acid, Jpn. J. Appl. Phys., 36(3B), 1822-1825, 19970301
  88. Structural and optical characterization of single three-dimensionally confined GaAs/AlAs structures grown on patterned GaAs (011) substrates, J. Vac. Sci. & Technol., B15(4), 862-869, 19970401
  89. Selective Wet Etching of InGaAs to InAlAsUsing Adipic Acid, Semiconductor Science and technology, 12(6), 475-480, 19971201
  90. Low contact resistance Triple capping layer enabling high GmInAlAs/InGaAs HEMTs, Journal of Electronic Materials, 25(4), 643-647, 19960401
  91. High Performance InAlAs/InGaAs HEMTs on GaAs, Jpn. J. Appl. Phys. Series, 35(11), 5642-5645, 19961101
  92. Fabrication of an InAlAs/InGaAs HEMT using ArF Excimer Laser Assisted Damage-Free Highly-Selective InGaAs/InAlAs Etching Technology, Jpn. J. Appl. Phys., 35(12B), 6544-6548, 19961201
  93. A Monte Carlo analysis of new nanoscale ballistic field effect transistors (BFETs) for millimetre-wave applications, Proceedings of Electron Devices for Microwave and Optoelectronic Applications96, 8-13, 1996
  94. High Gm InAlAs/InGaAs HEMTs grown lattice-mismatched on GaAs substrates, Journal of Crystal Growth, 150(4), 1230-1235, 19950401
  95. High Gm MBE-grown InP based HEMTs with a very low contact resistance triple capping layer, Proc. of 7th International Conference on Indium Phosphide and Related Materials, 741-744, 1995
  96. First high performance InAlAs/InGaAs HEMTs on GaAs exceeding that on InP, Proc. of 1994 IEEE IEDM, 891-894, 1994
  97. High-Efficiency Delta-Doped Amorphous Silicon Solar Cells Prepared by Photochemical Vapor Deposition, Jpn. J. Appl. Phys. Series, 30(8), 1635-1640, 19910801

Publications such as books

  1. 2011/11, 密度汎関数法の発展-マテリアルデザインへの応用-, 2011, 11, Scholarly Book, Joint work

Patented

  1. Patent, US:7902919, 2011/03/08
  2. Patent, JP5283119, 2013/06/07
  3. Patent, EP:2048714, 2013/07/24
  4. Patent, KR:10-1381785, 2014/03/31
  5. Patent

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2023, 2026
  2. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2023, 2026
  3. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2018, 2021
  4. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2018, 2021
  5. KAKENHI, 2016, 2017
  6. KAKENHI, 2014, 2016
  7. KAKENHI, 2014, 2017
  8. KAKENHI, Application of the extended constrained-search theory to the current-induced system, 2011, 2013
  9. KAKENHI, Development of the pair density functional theory and its validity check, 2010, 2013
  10. KAKENHI, Development of a new scheme of energy-band calculation on the basis of the extended constrained-search theory, 2007, 2010
  11. KAKENHI, Novel Theory of Effective Many-Electron Systems based on the Density Functional Theory, 2005, 2010
  12. 2003, 2005