268 research outputs found
Effect of Inter-Site Repulsions on Magnetic Susceptibility of One-Dimensional Electron Systems at Quarter-Filling
The temperature dependence of the magnetic susceptibility, \chi (T), is
investigated for one-dimensional interacting electron systems at
quarter-filling within the Kadanoff-Wilson renormalization-group method.
The forward scattering on the same branch (the g_4-process) is examined
together with the backward (g_1) and forward (g_2) scattering amplitudes on
opposite branches.
In connection with lattice models, we show that \chi (T) is strongly enhanced
by the nearest-neighbor interaction, an enhancement that surpasses one of the
next-nearest-neighbor interaction.
A connection between our predictions for \chi (T) and experimental results
for \chi (T) in quasi-one-dimensional organic conductors is presented.Comment: 4 pages, 4 figures, to be published in Journal of the Physical
Society of Japan, vol. 74, No. 1
Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion
We study the density-wave states of quasi-one-dimensional atomic gas mixture
of one- and two-component boson and fermion using the mean-field approximation.
Owing to the Peierls instability in the quasi-one-dimensional fermion system,
the ground state of the system shows the fermion density wave and the periodic
Bose-Einstein condensation induced by the boson-fermion interatomic
interaction. For the two-component fermions, two density waves appear in these
components, and the phase difference between them distinguishes two types of
ground states, the in-phase and the out-phase density-waves. In this paper, a
self-consistent method in the mean-field approximation is presented to treat
the density-wave states in boson-fermion mixture with two-component fermions.
From the analysis of the effective potential and the interaction energies
calculated by this method, the density-waves are shown to appear in the ground
state, which are in-phase or out-phase depending on the strength of the
inter-fermion interaction. It is also shown that the periodic Bose-Einstein
condensate coexists with the in-phase density-wave of fermions, but, in the
case of the out-phase one, only the uniform condensate appears. The phase
diagram of the system is given for the effective coupling constants.Comment: 13 pages, 6 figures, revise
A variational approach to the optimized phonon technique for electron-phonon problems
An optimized phonon approach for the numerical diagonalization of interacting
electron-phonon systems is proposed. The variational method is based on an
expansion in coherent states that leads to a dramatic truncation in the phonon
space. The reliability of the approach is demonstrated for the extended
Holstein model showing that different types of lattice distortions are present
at intermediate electron-phonon couplings as observed in strongly correlated
systems. The connection with the density matrix renormalization group is
discussed.Comment: 4 figures; submitted to Phys. Rev.
First-Principles Study of Electronic Structure in -(BEDT-TTF)I at Ambient Pressure and with Uniaxial Strain
Within the framework of the density functional theory, we calculate the
electronic structure of -(BEDT-TTF)I at 8K and room temperature
at ambient pressure and with uniaxial strain along the - and -axes. We
confirm the existence of anisotropic Dirac cone dispersion near the chemical
potential. We also extract the orthogonal tight-binding parameters to analyze
physical properties. An investigation of the electronic structure near the
chemical potential clarifies that effects of uniaxial strain along the a-axis
is different from that along the b-axis. The carrier densities show
dependence at low temperatures, which may explain the experimental findings not
only qualitatively but also quantitatively.Comment: 10 pages, 7 figure
Hofstadter butterfly and integer quantum Hall effect in three dimensions
For a three-dimensional lattice in magnetic fields we have shown that the
hopping along the third direction, which normally tends to smear out the Landau
quantization gaps, can rather give rise to a fractal energy spectram akin to
Hofstadter's butterfly when a criterion, found here by mapping the problem to
two dimensions, is fulfilled by anisotropic (quasi-one-dimensional) systems. In
3D the angle of the magnetic field plays the role of the field intensity in 2D,
so that the butterfly can occur in much smaller fields. The mapping also
enables us to calculate the Hall conductivity, in terms of the topological
invariant in the Kohmoto-Halperin-Wu's formula, where each of is found to be quantized.Comment: 4 pages, 6 figures, RevTeX, uses epsf.sty,multicol.st
SDW and FISDW transition of (TMTSF)ClO at high magnetic fields
The magnetic field dependence of the SDW transition in (TMTSF)ClO for
various anion cooling rates has been measured, with the field up to 27T
parallel to the lowest conductivity direction . For quenched
(TMTSF)ClO, the SDW transition temperature increases
from 4.5K in zero field up to 8.4K at 27T. A quadratic behavior is observed
below 18T, followed by a saturation behavior. These results are consistent with
the prediction of the mean-field theory. From these behaviors,
is estimated as =13.5K for the perfect nesting case. This
indicates that the SDW phase in quenched (TMTSF)ClO, where is less than 6K, is strongly suppressed by the two-dimensionality of
the system. In the intermediate cooled state in which the SDW phase does not
appear in zero field, the transition temperature for the field-induced SDW
shows a quadratic behavior above 12T and there is no saturation behavior even
at 27T, in contrast to the FISDW phase in the relaxed state. This behavior can
probably be attributed to the difference of the dimerized gap due to anion
ordering.Comment: 4pages,5figures(EPS), accepted for publication in PR
Effects of Next-Nearest-Neighbor Repulsion on One-Dimensional Quarter-Filled Electron Systems
We examine effects of the next-nearest-neighbor repulsion on electronic
states of a one-dimensional interacting electron system which consists of
quarter-filled band and interactions of on-site and nearest-neighbor repulsion.
We derive the effective Hamiltonian for the electrons around wave number \pm
\kf (\kf: Fermi wave number) and apply the renormalization group method to
the bosonized Hamiltonian. It is shown that the next-nearest-neighbor repulsion
makes 4\kf-charge ordering unstable and suppresses the spin fluctuation.
Further the excitation gaps and spin susceptibility are also evaluated.Comment: 19 pages, 8 figures, submitted to J. Phys. Soc. Jp
Role of Phase Variables in Quarter-Filled Spin Density Wave States
Several kinds of spin density wave (SDW) states with both quarter-filled band
and dimerization are reexamined for a one-dimensional system with on-site,
nearest-neighbor and next-nearest-neighbor repulsive interactions, which has
been investigated by Kobayashi et al. (J. Phys. Soc. Jpn. 67 (1998) 1098).
Within the mean-field theory, the ground state and the response to the density
variation are calculated in terms of phase variables, and ,
where expresses the charge fluctuation of SDW and describes the
relative motion between density wave with up spin and that with down spin
respectively. It is shown that the exotic state of coexistence of 2k_F-SDW and
2k_F-charge density wave (CDW) is followed by 4k_F-SDW but not by 4k_F-CDW
where k_F denotes a Fermi wave vector. The harmonic potential with respect to
the variation of and/or disappears for the interactions, which
lead to the boundary between the pure 2k_F-SDW state and the corresponding
coexistent state.Comment: 9 pages, 15 figures, to be published in J. Phys. Soc. Jpn. 69 No.3
(2000) 79
Role of Collective Mode for Optical Conductivity and Reflectivity in Quarter-Filled Spin-Density-Wave State
Taking account of a collective mode relevant to charge fluctuation, the
optical conductivity of spin-density-wave state has been examined for an
extended Hubbard model with one-dimensional quarter-filled band. We find that,
within the random phase approximation, the conductivity exhibits several peaks
at the frequency corresponding to the excitation energy of the commensurate
collective mode. When charge ordering appears with increasing inter-site
repulsive interactions, the main peak with the lowest frequency is reduced and
the effective mass of the mode is enhanced indicating the suppression of the
effect of the collective mode by charge ordering. It is also shown that the
reflectivity becomes large in a wide range of frequency due to the huge
dielectric constant induced by the collective mode.Comment: 11 pages, 16 figure
Phase Diagram for the Hofstadter butterfly and integer quantum Hall effect in three dimensions
We give a perspective on the Hofstadter butterfly (fractal energy spectrum in
magnetic fields), which we have shown to arise specifically in
three-dimensional(3D) systems in our previous work. (i) We first obtain the
`phase diagram' on a parameter space of the transfer energies and the magnetic
field for the appearance of Hofstadter's butterfly spectrum in anisotropic
crystals in 3D. (ii) We show that the orientation of the external magnetic
field can be arbitrary to have the 3D butterfly. (iii) We show that the
butterfly is beyond the semiclassical description. (iv) The required magnetic
field for a representative organic metal is estimated to be modest (
T) if we adopt higher Landau levels for the butterfly. (v) We give a simpler
way of deriving the topological invariants that represent the quantum Hall
numbers (i.e., two Hall conductivity in 3D, , in
units of ).Comment: 8 pages, 8 figures, eps versions of the figures will be sent on
request to [email protected]
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