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Journal Articles

PSTEP: Project for solar-terrestrial environment prediction

Kusano, Kanya*; Ichimoto, Kiyoshi*; Ishii, Mamoru*; Miyoshi, Yoshizumi*; Yoden, Shigeo*; Akiyoshi, Hideharu*; Asai, Ayumi*; Ebihara, Yusuke*; Fujiwara, Hitoshi*; Goto, Tadanori*; et al.

Earth, Planets and Space (Internet), 73(1), p.159_1 - 159_29, 2021/12

 Times Cited Count:6 Percentile:51.19(Geosciences, Multidisciplinary)

The PSTEP is a nationwide research collaboration in Japan and was conducted from April 2015 to March 2020, supported by a Grant-in-Aid for Scientific Research on Innovative Areas from the Ministry of Education, Culture, Sports, Science and Technology of Japan. It has made a significant progress in space weather research and operational forecasts, publishing over 500 refereed journal papers and organizing four international symposiums, various workshops and seminars, and summer school for graduate students at Rikubetsu in 2017. This paper is a summary report of the PSTEP and describes the major research achievements it produced.

Journal Articles

Multipole interactions of $$Gamma_3$$ non-Kramers doublet systems on cubic lattices

Kubo, Katsunori; Hotta, Takashi*

Journal of Physics; Conference Series, 969(1), p.012096_1 - 012096_6, 2018/04

 Times Cited Count:3 Percentile:82.15(Physics, Applied)

Journal Articles

Influence of lattice structure on multipole interactions in $$Gamma_3$$ non-Kramers doublet systems

Kubo, Katsunori; Hotta, Takashi*

Physical Review B, 95(5), p.054425_1 - 054425_6, 2017/02

 Times Cited Count:27 Percentile:76.04(Materials Science, Multidisciplinary)

Journal Articles

Exotic Kondo effects in electron-phonon systems

Hotta, Takashi

Physica B; Condensed Matter, 403(5-9), p.1371 - 1372, 2008/04

 Times Cited Count:9 Percentile:40.55(Physics, Condensed Matter)

We theoretically predict the Kondo effect due to geometrical degree of freedom. In an electron system coupled with dynamical Jahn-Teller impurity, the angular moment of the rotational Jahn-Teller mode with clockwise and anti-clockwise directions are screened by conduction electron orbital moment. We also predict the phonon-associated Kondo effect. It is found that the Kondo effect is significantly enhanced, when Coulomb interaction is canceled by the effective attraction mediated by Holstein phonons. We discuss possible relevance of this phenomenon to the exotic Kondo behavior observed experimentally in molecular quantum dots.

Journal Articles

Multipole as $$f$$-electron spin-charge density in filled skutterudites

Hotta, Takashi

Journal of the Physical Society of Japan, 77(Suppl.A), p.96 - 101, 2008/00

 Times Cited Count:8 Percentile:49.99(Physics, Multidisciplinary)

In general, spin-orbit coupling is strong for $$f$$ electrons and then, spin-orbital complex degrees of freedom, i.e., ${it multipoles}$, become active in $$f$$-electron compounds. Due to recent advances in experimental techniques, multipole ordering phenomena have been actually observed in filled skutterudites with high symmetry. To understand multipole ordering, phenomenological theory has been developed and several experimental results could be explained, but it is necessary to make more effort to clarify microscopic aspects of multipole degrees of freedom in $$f$$-electron systems. Here I propose to define $$f$$-electron multipole as spin-charge density operator in one-body form from the viewpoint of multipole expansion of electron density in electromagnetism. Then, I analyze a seven-orbital Anderson model by using a numerical renormalization group method. I discuss possible multipole state of heavy lanthanide filled skutterudites.

Journal Articles

Antiferro-quadrupole state of orbital-degenerate Kondo lattice model with $$f^{2}$$ configuration

Onishi, Hiroaki; Hotta, Takashi*

Journal of the Physical Society of Japan, 77(Suppl.A), p.199 - 201, 2008/00

 Times Cited Count:3 Percentile:27.6(Physics, Multidisciplinary)

Journal Articles

Multipoles in $$delta$$-Pu

Hotta, Takashi

Journal of Alloys and Compounds, 444-445, p.162 - 167, 2007/10

 Times Cited Count:3 Percentile:28.09(Chemistry, Physical)

In order to develop microscopic theories of magnetism and superconductivity in $$f$$-electron compounds, we have proposed the construction of an $$f$$-electron model on the basis of a $$j$$-$$j$$ coupling scheme. Using this model, we have explained spin and orbital structure of UMGa$$_5$$ and NpMGa$$_5$$. Recently, octupole ordering in NpO$$_2$$ has been also understood from the microscopic viewpoint. Encouraged by such successes of the j-j coupling model in actinide materials, we attempt to understand magnetism and superconductivity of Pu and PuMGa$$_5$$. We focus on a key role of 5f orbital state for the appearance of superconductivity in PuMGa$$_5$$ and the absence of magnetism in $$delta$$-Pu. We discuss multipoles as spin-orbital complex degrees of freedom.

Journal Articles

Enhanced Kondo effect in an electron system dynamically coupled with local optical phonon

Hotta, Takashi

Journal of the Physical Society of Japan, 76(8), p.084702_1 - 084702_8, 2007/08

 Times Cited Count:24 Percentile:72.7(Physics, Multidisciplinary)

We discuss Kondo behavior of a conduction electron system coupled with local optical phonon by analyzing the Anderson-Holstein model with the use of a numerical renormalization group method. For $$U_{rm ee}>U_{rm ph}$$ with Coulomb interaction $$U_{rm ee}$$ and phonon-mediated attraction $$U_{rm ph}$$, we observe the standard Kondo effect concerning spin degree of freedom and the Kondo temperature $$T_{rm K}$$ is increased when $$U_{rm ph}$$ is increased. On the other hand, for $$U_{rm ee}<U_{rm ph}$$, there occurs the Kondo effect concerning charge degree of freedom and $$T_{rm K}$$ is decreased with the increase of $$U_{rm ph}$$. Namely, $$T_{rm K}$$ should be maximized for $$U_{rm ee}=U_{rm ph}$$. Then, we analyze in detail the Kondo behavior at $$U_{rm ee}=U_{rm ph}$$, which is found to be explained by the polaron Anderson model. By comparing the results of the polaron Anderson model with those of the original Anderson-Holstein model, we clarify the Kondo behavior in the competing region of $$U_{rm ee}=U_{rm ph}$$.

Journal Articles

Multipole state of heavy lanthanide filled skutterudites

Hotta, Takashi

Journal of the Physical Society of Japan, 76(8), p.083705_1 - 083705_5, 2007/08

 Times Cited Count:13 Percentile:95.82(Physics, Multidisciplinary)

We discuss multipole properties of filled skutterudites containing heavy lanthanide Ln from a microscopic viewpoint on the basis of a seven-orbital Anderson model. For Ln=Gd, in contrast to naive expectation, quadrupole moments remain in addition to main dipole ones. For Ln=Ho, we find an exotic state governed by octupole moment. For Ln=Tb and Tm, no significant multipole moments appear at low temperatures, while for Ln=Dy, Er, and Yb, dipole and higher-order multipoles are dominant. We briefly discuss possible relevance of these multipole states with actual materials.

Journal Articles

Effect of Hund's rule coupling on SU(4) spin-orbital system

Onishi, Hiroaki; Hotta, Takashi

Journal of Magnetism and Magnetic Materials, 310(2, Part1), p.790 - 792, 2007/03

By using a density-matrix renormalization group method, we analyze a one-dimensional spin-orbital model, which is derived from an SU(4) symmetric Hubbard model perturbed by the Hund's rule coupling $$J$$. At $$J$$=0, both spin and orbital correlations have a peak at $$q$$=$$pi$$/2 in the ground state due to the SU(4) singlet state with a four-site periodicity. On the other hand, for large values of the Hund's rule coupling, it is found that the peak position of orbital correlation changes to $$q$$=$$pi$$, while that of spin correlation remains at $$q$$=$$pi$$/2.

Journal Articles

Superconductivity in f-electron systems controlled by crystalline electric fields

Kubo, Katsunori; Hotta, Takashi

Journal of Magnetism and Magnetic Materials, 310(2, Part1), p.572 - 574, 2007/03

To elucidate the mechanism and controlling parameter of the superconductivity in CeTIn$$_5$$ (T=Co, Rh, and Ir), we study an $$f$$-electron model based on a $$j$$-$$j$$ coupling scheme on a square lattice. In this study, we consider electrons with total angular momentum $$j$$=5/2. These states split into one $$Gamma_6$$ and two $$Gamma_7$$ doublets under a tetragonal CEF. By choosing appropriate CEF potential, we can control the CEF wave-functions without changing the level splitting. Although the Fermi surface does not change so much as long as the splitting is fixed, the ground state changes depending on the CEF wave-function among paramagnetic, antiferromagnetic, and $$d$$-wave superconducting states. Thus, in addition to the Fermi-surface topology and the carrier density, the wave-function of the CEF state is an important ingredient to control the appearance of superconductivity in such systems. We will discuss possible relevance of our scenarioto the superconductivity in CeTIn$$_5$$.

Journal Articles

Microscopic aspects of multipole properties of filled skutterudites

Hotta, Takashi

Journal of Magnetism and Magnetic Materials, 310(2, Part2), p.1691 - 1697, 2007/03

In order to develop a theory for multipole phenomena in $$f$$-electron materials, we have proposed the construction of a microscopic model for $$f$$-electron systems based on a $$j$$-$$j$$ coupling scheme. By this approach, magnetism and superconductivity of filled skutterudites have been discussed from a microscopic viewpoint. In particular, we can also evaluate physical quantities related to multipoles by treating them as combined spin and orbital degrees of freedom. In this presentation, we will discuss three issues: (1) A concept of optimal multipole susceptibility to clarify the low-temperature properties of filled skutterudites. (2) An effective way to include the crystalline electric field potential of $$T_{rm h}$$ symmetry of filled skutterudites in the $$j$$-$$j$$ coupling scheme. (3) Dynamical Jahn-Teller effects on multipole properties of filled skutterudites.

Journal Articles

Relativistic band-structure calculations for electronic properties of actinide dioxides

Maehira, Takahiro*; Hotta, Takashi

Journal of Magnetism and Magnetic Materials, 310(2, Part1), p.754 - 756, 2007/03

 Times Cited Count:17 Percentile:59.31(Materials Science, Multidisciplinary)

Energy band structures of actinide dioxides AnO$$_2$$ (An=Th, U, Np, and Pu) are investigated by a relativistic linear augmented-plane-wave method with the exchange-correlation potential in a local density approximation (LDA). It is found in common that the energy bands in the vicinity of the Fermi level are mainly due to the hybridization between actinide 5f and oxygen 2p electrons. By focusing on the crystalline electric field states, we point out the problem in the application of the LDA to AnO$$_2$$.

Journal Articles

Multipole susceptibility of multiorbital Anderson model coupled with Jahn-Teller phonons

Hotta, Takashi

Journal of the Physical Society of Japan, 76(3), p.034713_1 - 034713_11, 2007/03

 Times Cited Count:16 Percentile:64.44(Physics, Multidisciplinary)

In order to clarify possible multipole states of Sm-based filled skutterudite compounds, we investigate multipole susceptibility of a multiorbital Anderson model dynamically coupled withJahn-Teller phonons by using a numerical renormalization group method. Here we take a procedure to maximize the multipole susceptibility matrix to determine the multipole state. When the electron-phonon coupling term is simply ignored, it is found that the dominant multipole state is characterized by 2u octupole for the $$Gamma_{67}^-$$ quartet ground state, while the low-temperature phase is governed by magnetic fluctuations for the $$Gamma_5^-$$ doublet ground state. When we include the coupling between $$f$$ electrons in degenerate $$Gamma_{67}^{-}$$ ($$e_{rm u}$$) orbitals and Jahn-Teller phonons with $$E_{rm g}$$ symmetry, the mixed multipole state with 4u magnetic and 5u octupole moments is found to be dominant with significant 3g quadrupole fluctuations at low temperatures.

Journal Articles

Kondo effect in an electron system with dynamical Jahn-Teller impurity

Hotta, Takashi

Journal of the Physical Society of Japan, 76(2), p.023705_1 - 023705_5, 2007/02

 Times Cited Count:32 Percentile:77.94(Physics, Multidisciplinary)

We investigate how Kondo phenomenon occurs in the Anderson model dynamically coupled with local Jahn-Teller phonons. It is found that the total angular moment composed of electron pseudo-spin and phonon angular moments is screened by conduction electrons. Namely, phonon degrees of freedom essentially contribute to the formation of singlet ground state. A characteristic temperature of the Kondo effect due to dynamical Jahn-Teller phonons is explained by an effective $$s$$-$$d$$ Hamiltonian with anisotropic exchange interaction obtained from the Jahn-Teller-Anderson model in a non-adiabatic region.

Journal Articles

Spin-orbital gap of multiorbital antiferromagnet with geometrical frustration

Onishi, Hiroaki; Hotta, Takashi

Physical Review B, 75(1), p.014410_1 - 014410_8, 2007/01

 Times Cited Count:0 Percentile:0(Materials Science, Multidisciplinary)

In order to discuss the spin-gap formation in a multiorbital system, we analyze an $$e_{rm g}$$-orbital Hubbard model on a geometrically frustrated zigzag chain by using a density-matrix renormalization group method. Due to the appearance of a ferro-orbital arrangement, the system is regarded as a one-orbital system, while the degree of spin frustration is controlled by the spatial anisotropy of the orbital. In the region of strong spin frustration, we observe a finite energy gap between ground and first-excited states, which should be called a spin-orbital gap. The physical meaning is clarified by an effective Heisenberg spin model including correctly the effect of the orbital arrangement influenced by the spin excitation.

Journal Articles

Effective crystalline electric field potential in a $$j$$-$$j$$ coupling scheme

Hotta, Takashi; Harima, Hisatomo

Journal of the Physical Society of Japan, 75(12), p.124711_1 - 124711_5, 2006/12

 Times Cited Count:31 Percentile:77.59(Physics, Multidisciplinary)

We propose a systematic method to include effectively a crystalline electric field (CEF) potential into an $$f$$-electron model on the basis of a $$j$$-$$j$$ coupling scheme by the expansion in terms of $$1/lambda$$, where $$lambda$$ is a spin-orbit interaction. When we correctly take into account the corrections in the order of $$1/lambda$$ in addition to the CEF terms and Coulomb interactions which remain in the limit of $$lambda$$=$$infty$$, the CEF energy levels of an $$LS$$ coupling scheme can be quantitatively reproduced even in the $$j$$-$$j$$ coupling scheme. As a potential application of our modified $$j$$-$$j$$ coupling scheme, we briefly discuss the CEF energy levels of filled skutterudite compound with $$T_{rm h}$$ symmetry.

Journal Articles

Stripe charge ordering in triangular-lattice systems

Onishi, Hiroaki; Hotta, Takashi

AIP Conference Proceedings 850, p.1075 - 1076, 2006/09

We investigate the ground-state property of a $$t_{rm 2g}$$-orbital Hubbard model on a triangular lattice at electron density 5.5 by using numerical techniques. There appears several types of paramagnetic phases, but we observe in common that one or two orbitals among three orbitals become relevant due to the effect of orbital ordering. It is found that charge stripe stabilized by the nearest-neighbor Coulomb interaction consists of antiferromagnetic/ferro-orbital chains for small Hund's coupling, while there occurs stripe charge ordering with ferromagnetic/antiferro-orbital chains for large Hund's coupling.

Journal Articles

Multipole correlations in low-dimensional $$f$$-electron systems

Onishi, Hiroaki; Hotta, Takashi

Journal of the Physical Society of Japan, 75(Suppl.), p.266 - 269, 2006/08

In order to clarify multipole correlations in $$f$$-electron systems, we investigate a one-dimensional $$f$$-electron model based on a $$j$$-$$j$$ coupling scheme by exploiting a density-matrix renormalization group method. We discuss the effect of a crystalline electric field and the dependence on the change of $$f$$-electron numbers in detail.

Journal Articles

Orbital-controlled superconductivity in $$f$$-electron systems

Kubo, Katsunori; Hotta, Takashi

Journal of the Physical Society of Japan, 75(8), p.083702_1 - 083702_5, 2006/08

 Times Cited Count:19 Percentile:67.26(Physics, Multidisciplinary)

We propose a concept of superconductivity controlled byorbital degree of freedomby taking Ce$$M$$In$$_5$$ ($$M=$$ Co, Rh, and Ir) as typical examples. A microscopic multiorbital model for Ce$$M$$In$$_5$$is analyzed by a fluctuation exchange approximation. Even though the Fermi-surface structure is unchanged, the ground state is found to change significantly amongparamagnetic, antiferromagnetic, and $$d$$-wave superconducting phases, depending on the dominant orbital componentin the band near the Fermi energy. We show that our picture naturally explains differentlow-temperature properties of Ce$$M$$In$$_5$$ by carefully analyzingthe crystalline electric field states.

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