469 research outputs found
Theory of AC Anomalous Hall Conductivity in d-electron systems
To elucidate the intrinsic nature of anomalous Hall effect (AHE) in
-electron systems, we study the AC anomalous Hall conductivity (AHC) in a
tight-binding model with ()-orbitals. We drive a general
expression for the AC AHC , which is valid for finite
quasiparticle damping rate =, and find that the AC AHC is
strongly dependent on . When , the AC AHC shows a spiky peak
at finite energy that originates from the interband particle-hole
excitation, where represents the minimum band-splitting measured from
the Fermi level. In contrast, we find that this spiky peak is quickly
suppressed when is finite. By using a realistic value of
at in -electron systems, the spiky peak
is considerably suppressed. In the present model, the obtained results also
represents the AC spin Hall conductivity in a paramagnetic state.Comment: 13pages, 9 figure
Spin Hall effect in Sr2RuO4 and transition metals (Nb,Ta)
We study the intrinsic spin Hall conductivity (SHC) and the -orbital Hall
conductivity (OHC) in metallic -electron systems based on the multiorbital
tight-binding model. The obtained Hall conductivities are much larger than that
in -type semiconductors. The origin of these huge Hall effects is the
"effective Aharonov-Bohm phase" induced by the signs of inter-orbital hopping
integrals as well as atomic spin-orbit interaction. Huge SHC and OHC due to
this mecahnism is ubiquitous in multiorbital transition metals.Comment: 4 pages, 3 figures, Proceedings of SNS conference in Sendai, 200
Theory of Thermal Conductivity in High-Tc Superconductors below Tc: Comparison between Hole-Doped and Electron-Doped Systems
In hole-doped high-Tc superconductors, thermal conductivity increases
drastically just below Tc, which has been considered as a hallmark of a nodal
gap. In contrast, such a coherence peak in thermal conductivity is not visible
in electron-doped compounds, which may indicate a full-gap state such as a
(d+is)-wave state. To settle this problem, we study the thermal conductivity in
the Hubbard model using the fluctuation-exchange (FLEX) approximation, which
predicts that the nodal d-wave state is realized in both hole-doped and
electron-doped compounds. The contrasting behavior of thermal conductivity in
both compounds originates from the differences in the hot/cold spot structure.
In general, a prominent coherence peak in thermal conductivity appears in
line-node superconductors only when the cold spot exists on the nodal line.Comment: 5 pages, to be published in J. Phys. Soc. Jpn. Vol.76 No.
Theory of Thermoelectric Power in High-Tc Superconductors
We present a microscopic theory for the thermoelectric power (TEP) in high-Tc
cuprates. Based on the general expression for the TEP, we perform the
calculation of the TEP for a square lattice Hubbard model including all the
vertex corrections necessary to satisfy the conservation laws. In the present
study, characteristic anomalous temperature and doping dependences of the TEP
in high-Tc cuprates, which have been a long-standing problem of high-Tc
cuprates, are well reproduced for both hole- and electron-doped systems, except
for the heavily under-doped case. According to the present analysis, the strong
momentum and energy dependences of the self-energy due to the strong
antiferromagnetic fluctuations play an essential role in reproducing
experimental anomalies of the TEP.Comment: 5 pages, 8 figures, to appear in J. Phys. Soc. Jpn. 70 (2001) No.10.
Figure 2 has been revise
Theory of Anomalous Hall Effect in a Heavy fermion System with a Strong Anisotropic Crystal Field
In a heavy fermion system, there exists the anomalous Hall effect caused by
localized -orbital freedom, in addition to the normal Hall effect due to the
Lorentz force. In 1994, we found that the Hall coefficient caused by the
anomalous Hall effect () is predominant and the relation ( is the electrical resistivity) holds at low
temperatures in many compounds. In this work, we study the system where the
magnetic susceptibility is highly anisotropic due to the strong crystalline
electric field on -orbitals. Interestingly, we find that is
nearly isotropic in general. This tendency is frequently observed
experimentally, which has casted suspicion that the anomalous Hall effect may
be irrelevant in real materials. Our theory corresponds to corrections and
generalizations of the pioneering work on ferromagnetic metals by Karplus and
Luttinger.Comment: 4 pages, revtex, to be published in J. Phys. Soc. Jpn. (No.8
Effect of Nonmagnetic Impurity in Nearly Antiferromagnetic Fermi Liquid: Magnetic Correlations and Transport Phenomena
In nearly antiferromagnetic (AF) metals such as high-Tc superconductors
(HTSC's), a single nonmagnetic impurity frequently causes nontrivial widespread
change of the electronic states. To elucidate this long-standing issue, we
study a Hubbard model with a strong onsite impurity potential based on an
improved fluctuation-exchange (FLEX) approximation, which we call the GV^I-FLEX
method. This model corresponds to the HTSC with dilute nonmagnetic impurity
concentration. We find that (i) both local and staggered susceptibilities are
strongly enhanced around the impurity. By this reason, (ii) the quasiparticle
lifetime as well as the local density of states (DOS) are strongly suppressed
in a wide area around the impurity (like a Swiss cheese hole), which causes the
``huge residual resistivity'' beyond the s-wave unitary scattering limit. We
stress that the excess quasiparticle damping rate caused by impurities has
strong momentum-dependence due to non-s-wave scatterings induced by many-body
effects, so the structure of the ``hot spot/cold spot'' in the host system
persists against impurity doping. This result could be examined by the ARPES
measurements. In addition, (iii) only a few percent of impurities can causes a
``Kondo-like'' upturn of resistivity () at low temperatures when
the system is very close to the AF quantum critical point (QCP). The results
(i)-(iii) obtained in the present study, which cannot be derived by the simple
FLEX approximation, naturally explains the main impurity effects in HTSC's. We
also discuss the impurity effect in heavy fermion systems and organic
superconductors.Comment: 22 pages, to be published in PR
Universality in heavy-fermion systems with general degeneracy
We discuss the relation between the T^{2}-coefficient of electrical
resistivity and the T-linear specific-heat coefficient for
heavy-fermion systems with general , where is the degeneracy of
quasi-particles. A set of experimental data reveals that the Kadowaki-Woods
relation; , collapses
remarkably for large-N systems, although this relation has been regarded to be
commonly applicable to the Fermi-liquids. Instead, based on the Fermi-liquid
theory we propose a new relation;
with and .
This new relation exhibits an excellent agreement with the data for whole the
range of degenerate heavy-fermions.Comment: 2 figures, to appear in Phys. Rev. Let
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