219 research outputs found
SrCu(PO): A real material realization of the 1D nearest neighbor Heisenberg chain
We present evidence that crystalline Sr_2Cu(PO_4)_2 is a nearly perfect
one-dimensional (1D) spin-1/2 anti-ferromagnetic Heisenberg model (AHM) chain
compound with nearest neighbor only exchange. We undertake a broad theoretical
study of the magnetic properties of this compound using first principles (LDA,
LDA+U calculations), exact diagonalization and Bethe-ansatz methodologies to
decompose the individual magnetic contributions, quantify their effect, and fit
to experimental data. We calculate that the conditions of one-dimensionality
and short-ranged magnetic interactions are sufficiently fulfilled that Bethe's
analytical solution should be applicable, opening up the possibility to explore
effects beyond the infinite chain limit of the AHM Hamiltonian. We begin such
an exploration by examining some extrinsic effects such as impurities and
defects
Theory of Resonant Raman Scattering in One Dimensional Electronic systems
A theory of resonant Raman scattering spectroscopy of one dimensional
electronic systems is developed on the assumptions that (i) the excitations of
the one dimensional electronic system are described by the Luttinger Liquid
model, (ii) Raman processes involve virtual excitations from a filled valence
band to an empty state of the one dimensional electronic system and (iii)
excitonic interactions between the valence and conduction bands may be
neglected. Closed form analytic expressions are obtained for the Raman
scattering cross sections, and are evaluated analytically and numerically for
scattering in the polarized channel, revealing a "double-peak" structure with
the lower peak involving multispinon excitations with total spin S=0 and the
higher peak being the conventional plasmon. A key feature of our results is a
nontrivial power law dependence, involving the Luttinger Liquid exponents, of
the dependence of the Raman cross sections on the difference of the laser
frequency from resonance. We find that near resonance the calculated ratio of
intensity in the lower energy feature to the intensity in the higher energy
feature saturates at a value of the order of unity (times a factor of the ratio
of the velocities of the two modes). We explicate the differences between the
'Luttinger liquid' and 'Fermi liquid' calculations of RRS spectra and argue
that excitonic effects, neglected in all treatments so far, are essential for
explaining the intensity ratios observed in quantum wires. We also discuss
other Luttinger liquid features which may be observed in future RRS
experiments
Electron properties of carbon nanotubes in a periodic potential
A periodic potential applied to a nanotube is shown to lock electrons into
incompressible states that can form a devil's staircase. Electron interactions
result in spectral gaps when the electron density (relative to a half-filled
Carbon pi-band) is a rational number per potential period, in contrast to the
single-particle case where only the integer-density gaps are allowed. When
electrons are weakly bound to the potential, incompressible states arise due to
Bragg diffraction in the Luttinger liquid. Charge gaps are enhanced due to
quantum fluctuations, whereas neutral excitations are governed by an effective
SU(4)~O(6) Gross-Neveu Lagrangian. In the opposite limit of the tightly bound
electrons, effects of exchange are unimportant, and the system behaves as a
single fermion mode that represents a Wigner crystal pinned by the external
potential, with the gaps dominated by the Coulomb repulsion. The phase diagram
is drawn using the effective spinless Dirac Hamiltonian derived in this limit.
Incompressible states can be detected in the adiabatic transport setup realized
by a slowly moving potential wave, with electron interactions providing the
possibility of pumping of a fraction of an electron per cycle (equivalently, in
pumping at a fraction of the base frequency).Comment: 21 pgs, 8 fig
Dzyaloshinskii--Moriya interaction: How to measure its sign in weak ferromagnetics?
Three experimental techniques sensitive to the sign of the
Dzyaloshinskii--Moriya interaction are discussed: neutron diffraction,
Moessbauer gamma-ray diffraction, and resonant x-ray scattering. Classical
examples of hematite (alpha-Fe2O3) and MnCO3 crystals are considered in detailComment: 5 pages, 1 figure; to be published in JETP Letter
Temperature dependence of ESR intensity for the nanoscale molecular magnet V15
The electron spin resonance (ESR) of nanoscale molecular magnet is studied. Since the Hamiltonian of has a large
Hilbert space and numerical calculations of the ESR signal evaluating the Kubo
formula with exact diagonalization method is difficult, we implement the
formula with the help of the random vector technique and the Chebyshev
polynominal expansion, which we name the double Chebyshev expansion method. We
calculate the temperature dependence of the ESR intensity of and
compare it with the data obtained in experiment. As another complementary
approach, we also implement the Kubo formula with the subspace iteration method
taking only important low-lying states into account. We study the ESR
absorption curve below by means of both methods. We find that side
peaks appear due to the Dzyaloshinsky-Moriya interaction and these peaks grows
as temperature decreases.Comment: 9 pages, 4 figures. To appear in J. Phys. Soc. Jpn. Supp
Coupled Heisenberg antiferromagnetic chains in an effective staggered field
We present a systematic study of coupled Heisenberg antiferromagnetic
chains in an effective staggered field. We investigate several effects of the
staggered field in the {\em higher} ({\em two or three}) {\em dimensional} spin
system analytically. In particular, in the case where the staggered field and
the inter-chain interaction compete with each other, we predict, using
mean-field theory, a characteristic phase transition. The spin-wave theory
predicts that the behavior of the gaps induced by the staggered field is
different between the competitive case and the non-competitive case. When the
inter-chain interactions are sufficiently weak, we can improve the mean-field
phase diagram by using chain mean-field theory and the analytical results of
field theories. The ordered phase region predicted by the chain mean-field
theory is substantially smaller than that by the mean-field theory.Comment: 13pages, 12figures, to be published in PR
Anisotropic Hubbard model on a triangular lattice -- spin dynamics in Ho Mn O_3
The recent neutron-scattering data for spin-wave dispersion in are well described by an anisotropic Hubbard model on a triangular lattice
with a planar (XY) spin anisotropy. Best fit indicates that magnetic
excitations in correspond to the strong-coupling limit , with planar exchange energy meV and planar
anisotropy meV.Comment: 4 pages, 3 figure
Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
Due to the particular geometry of the kagom\'e lattice, it is shown that
antisymmetric Dzyaloshinsky-Moriya interactions are allowed and induce magnetic
ordering. The symmetry of the obtained low temperature magnetic phases are
studied through mean field approximation and classical Mont\'e Carlo
simulations. A phase diagram relating the geometry of the interaction and the
ordering temperature has been derived. The order of magnitude of the
anisotropies due to Dzyaloshinsky-Moriya interactions are more important than
in non-frustrated magnets, which enhances its appearance in real systems.
Application to the jarosites compounds is proposed. In particular, the low
temperature behaviors of the Fe and Cr-based jarosites are correctly described
by this model.Comment: 6 (revtex4) twocolumn pages, 6 .eps figures. Submitted to Phys. Rev.
Mechanism of Lattice-Distortion-Induced Electric-Polarization Flop in the Multiferroic Perovskite Manganites
Magnetoelectric phase diagrams of the perovskite manganites, Eu1-xYxMnO3 and
Gd1-xTbxMnO3, are theoretically studied. We first construct a microscopic
model, and then analyze the model using the Monte-Carlo method. We reproduce
the diagrams, which contain two different multiferroic states, i.e., the
ab-plane spin cycloid with electric polarization P//a and the bc-plane spin
cycloid with P//c. We reveal that their competition originates from a conflict
between the single-ion anisotropy and the Dzyaloshinsky-Moriya interaction,
which is controlled by the second-neighbor spin exchanges enhanced by the
GdFeO3-type distortion. This leads to a P flop from a to c with increasing x in
agreement with the experiments.Comment: 5 pages, 5 figures. Recalculated results after correcting errors in
the assignment of DM vectors. The conclusion is not affecte
On the low energy properies of fermions with singular interactions
We calculate the fermion Green function and particle-hole susceptibilities
for a degenerate two-dimensional fermion system with a singular gauge
interaction. We show that this is a strong coupling problem, with no small
parameter other than the fermion spin degeneracy, N. We consider two
interactions, one arising in the context of the model and the other in
the theory of half-filled Landau level. For the fermion self energy we show in
contrast to previous claims that the qualitative behavior found in the leading
order of perturbation theory is preserved to all orders in the interaction. The
susceptibility at a general wavevector retains
the fermi-liquid form. However the susceptibility either
diverges as or remains finite but with nonanalytic wavevector,
frequency and temperature dependence. We express our results in the language of
recently discussed scaling theories, give the fixed-point action, and show that
at this fixed point the fermion-gauge-field interaction is marginal in ,
but irrelevant at low energies in .Comment: 21 pages, uuencoded LATEX file with included Postscript figures, R
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