Katsuhiko Higuchi
“ú–{Œê”Å
Affiliation
@Graduate School of Advanced Sciences
of Matter, Hiroshima University
@Department of Quantum Matter
Contact
information
@Address: Graduate School
of Advanced Sciences of Matter, Hiroshima University,
HigashiHiroshima
7398527, Japan
@@Phone@F(+81)824247016
Fax@F(+81)824247014
@@emailFkhiguchi_at_hiroshimau.ac.jp
Teaching Classes
Mathematics for Physics B (1Year Second
Semester)
Quantum Mechanics II (3Year First Semester)
Solid
State Physics (Graduate School of Advanced Sciences of Matter (Master))
Research Field
Development of a new energyband theory and its application to solids
KeywordsFFirstprinciples
calculation, Density functional theory, electron correlation,
superconductivity, Energy band in the magnetic field
Research Facilities
EWorkstation 1 @ 20 cores (80
processors) 1 node memory 256GB
EWorkstation 2 @ 12 cores (48
processors) 1 node memory 256GB
EWorkstation 3 @ 12 cores (12
processors) 6 nodes memory 48GB/node
EWorkstation 4 @ 8 cores ( 8 processors) 3 nodes memory 48GB/node
EWorkstation 5 @ 8 cores ( 8 processors) 4 nodes memory 48GB/node
Recent
review articles
 Pair
density functional theory [Invited paper]
M. Higuchi and K. Higuchi,
Computational and Theoretical Chemistry 1003,
91 (2013).
(Special
Issue on Density Matrices and Related Techniques, in honor of the late John
Coleman)
 Recent
Development of the Pair Density Functional Theory [Invited paper]
K.
Higuchi and M. Higuchi, Quantum Matter 4,
63 (2015). (Special Issue on Quantum Matter Chemistry)
Recent
papers
Pair
Density Functional Theory
 Nrepresentability of the Jastrow wave function pair density of the lowestorder
K. Higuchi and M. Higuchi, Sci. Rep. 7, 7590 (2017).
 Approximate forms of the pairdensityfunctional kinetic energy on the basis of a rigorous expression with couplingconstant integration
K. Higuchi and M. Higuchi, Phys. Rev. A. 90, 062511 (2014).
 Scaling method of the pair
density functional theory in combination with energy functionals satisfying the
virial theorem
: Checking the validity via atomic
structure calculations
K. Higuchi and M. Higuchi, Phys.
Rev. A 87, 032511 (2013).

Couplingconstant expression and exact relations for the kinetic energy
functional in the pair density functional theory
K. Higuchi and M. Higuchi, Phys. Rev. A 85, 062508 (2012).
 Correction
Method for obtaining the variationally best groundstate pair density
M. Higuchi and K. Higuchi, Phys. Rev. A 84, 044502 (2011).
 Computational pair density functional theory: a proposal of the kinetic energy functional
K. Higuchi and M. Higuchi, Phys. Rev. B. 82, 155135 (2010).
M. Higuchi and K. Higuchi, Phys. Rev. B 78, 125101 (2008).
 Pair densityfunctional
theory by means of the correlated wave function
M. Higuchi and K. Higuchi, Phys. Rev. A 75, 042510 (2007).
Extended
ConstrainedSearch Theory
 Sum rules for the exchangecorrelation energy functional of the
extended constrainedsearch theory: Application to checking the validity of the
vorticity expansion approximation of the currentdensity functional theory
M.
Higuchi and K. Higuchi, Phys. Rev. A. 81, 042505 (2010).

Exchangecorrelation energy functional and virial theorem in the extended
constrainedsearch theory
K. Higuchi and M. Higuchi,
Phys. Rev. B 71, 035116 (2005).
 Arbitrary Choice
of Basic Variables in densityfunctional: II. Illustrative Applications
K. Higuchi and M. Higuchi, Phys. Rev. B 69, 165118 (2004).
 Arbitrary Choice of Basic Variables in densityfunctional theory: Formalism
M. Higuchi and K. Higuchi,
Phys. Rev. B 69, 035113 (2004).
The firstprinciples calculation theory
for Superconductors

Magnetic field and temperature dependence of the superconducting gap through
currentdensity functional theory for superconductors
K. Higuchi, N. Matsumoto, Y.
Kamijo and M. Higuchi, Phys.
Rev. B 102, 014515 (2020).

A Calculation Scheme for the PairDensity Functional Theory for the
Superconductor
K. Higuchi and M. Higuchi, JPS
Conf. 30, 011066 (2020).

CurrentDensity Functional Theory for the superconductor and Its
ExchangeCorrelation Energy Functional
K. Higuchi, H. Niwa and M.
Higuchi, J. Phys. Soc. Jpn. 86, 104705 (2017).

Basic variables to be reproduced in the firstprinciples theory for superconductors:
Fluctuation of the particle number
K. Higuchi, E. Miki and M.
Higuchi, J. Phys. Soc. Jpn. 86, 064704 (2017).
 CurrentDensity Functional Theory for a Superconductor
K. Higuchi, K. Koide, T.
Imanishi and M. Higuchi, Int. J. Quantum Chem. 113,
709 (2013).
Development
of ExchangeCorrelation Energy Functional
 Renormalized
MøllerPlesset Correlation Energy Functional Used in the Optimized Effective
Potential Method
M. Kodera, M. Miyasita, H. Shimizu, K. Higuchi and M. Higuchi, J. Phys. Soc. Jpn. 87, 014302 (2018).
 Kinetic energy
contribution to the exchangecorrelation energy functional of the
extendedconstrained search theory
K. Higuchi and M. Higuchi, Phys. Rev. A. 79, 022113 (2009).
 Scheme for calculating the orbitaldependent exchangecorrelation
potential using the virial theorem: Application to atomic systems
M. Kodera, K. Higuchi, A. Narita and M. Higuchi, Phys.
Rev. A. 78, 012501 (2008).
 Evaluation of vorticity expansion approximation of currentdensity
functional theory by means of Levyfs asymptotic bound
M. Higuchi and K. Higuchi, Phys. Rev. B 75, 195114 (2007).
 Vorticity expansion approximation of the exchange and correlation
energy functionals in currentdensity functional theory
K. Higuchi and M. Higuchi,
Phys. Rev. B 74, 195122 (2006): Erratum, Phys. Rev. B 75, 159902(E) (2007).
Energy
band theory for crystalline materials immersed in a magnetic field

Reduced effective gfactor in graphene
M. Higuchi,
D. B. Hamal, A. Shrestha and K. Higuchi, J. Phys. Soc.
Jpn. 88, 094707 (2019).

Nonperturbative description of the butterfly diagram of energy spectra for
materials immersed in a magnetic field
K. Higuchi,
D. B. Hamal and M. Higuchi, Phys.
Rev. B 97, 195135 (2018).

Magnetic breakdown investigated by means of the magneticfieldcontaining
relativistic tightbinding approximation method
K. Higuchi,
D. B. Hamal and M. Higuchi, Phys. Rev. B
96, 235125 (2017).

Calculations of Magnetic properties of metals through the
magneticfieldcontaining relativistic tightbinding approximation method
M. Higuchi,
D. B. Hamal and K. Higuchi, Phys. Rev. B
95, 195153 (2017).

Calculation of Magnetic oscillations via the magneticfieldcontaining
relativistic tightbinding approximation method: Revisit of the de Haasvan
Alphen effect
D.
B. Hamal, M. Higuchi, and K. Higuchi, Phys. Rev. B. 91, 245101 (2015).
 Relativistic tightbinding approximation method for materials immersed
in a uniform magnetic field: Application to crystalline silicon
K. Higuchi, D. B. Hamal and M.
Higuchi, Phys. Rev. B 91, 075122 (2015).
The firstprinciples calculation theory
for optical responses of materials

TimeDependent CurrentDensity Functional Theory Taking into Consideration the
Effect of the Energy Dissipation
K. Higuchi,
Y. Fujie, H. Shimizu and M. Higuchi, Phys. Rev.
A 100, 062503 (2019).
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