3,048 research outputs found
Solitonic approach to the dimerization problem in correlated one-dimensional systems
Using exact diagonalizations we consider self-consistently the lattice
distortions in odd Peierls-Hubbard and spin-Peierls periodic rings in the
adiabatic harmonic approximation. From the tails of the inherent spin soliton
the dimerization d_\infty of regular even rings is found by extrapolations to
infinite ring lengths. Considering a wide region of electron-electron onsite
interaction values U>0 compared with the band width 4t_0 at intermediately
strong electron-phonon interaction g, known relationships obtained by other
methods are reproduced and/or refined within one unified approach: such as the
maximum of d_\infty at U \simeq 3 t_0 for g \simeq 0.5 and its shift to zero
for g \to g_c \approx 0.7. The hyperbolic tangent shape of the spin soliton is
retained for any U and g <~ 0.6. In the spin-Peierls limit the d_\infty are
found to be in agreement with results of DMRG computations.Comment: 4 pages, 4 figures, Physical Review B, Rapid Communications, v. 56
(1997) accepte
Hole-Pairs in a Spin Liquid: Influence of Electrostatic Hole-Hole Repulsion
The stability of hole bound states in the t-J model including short-range
Coulomb interactions is analyzed using computational techniques on ladders with
up to sites. For a nearest-neighbors (NN) hole-hole repulsion,
the two-holes bound state is surprisingly robust and breaks only when the
repulsion is several times the exchange . At hole doping the
pairs break only for a NN-repulsion as large as . Pair-pair
correlations remain robust in the regime of hole binding. The results support
electronic hole-pairing mechanisms on ladders based on holes moving in
spin-liquid backgrounds. Implications in two dimensions are also presented. The
need for better estimations of the range and strength of the Coulomb
interaction in copper-oxides is remarked.Comment: Revised version with new figures. 4 pages, 5 figure
On the correllation effect in Peierls-Hubbard chains
We reexamine the dimerization, the charge and the spin gaps of a half-filled
Peierls-Hubbard chain by means of the incremental expansion technique. Our
numerical findings are in significant quantitative conflict with recently
obtained results by M. Sugiura and Y. Suzumura [J. Phys. Soc. Jpn. v. 71 (2002)
697] based on a bosonization and a renormalization group method, especially
with respect to the charge gap. Their approach seems to be valid only in the
weakly correlated case.Comment: 7pages,4figures(6eps-files
Theory of Spin Fluctuations in Striped Phases of Doped Antiferromagnetic Cuprates
We study the properties of generalized striped phases of doped cuprate planar
quantum antiferromagnets. We invoke an effective, spatially anisotropic,
non-linear sigma model in two space dimensions. Our theoretical predictions are
in quantitative agreement with recent experiments in La_{2-x}Sr_xCuO_4 with . We focus on (i) the magnetic correlation length, (ii) the
staggered magnetization at and (iii) the N\'eel temperature, as functions
of doping, using parameters determined previously and independently for this
system. These results support the proposal that the low doping
(antiferromagnetic) phase of the cuprates has a striped configuration.Comment: 4 pages, Revtex. To appear in the Proceedings of the International
Conference "Stripes, Lattice Instabilities and High Tc Superconductivity",
(Rome, Dec. 1996
Diagonalization in Reduced Hilbert Spaces using a Systematically Improved Basis: Application to Spin Dynamics in Lightly Doped Ladders
A method is proposed to improve the accuracy of approximate techniques for
strongly correlated electrons that use reduced Hilbert spaces. As a first step,
the method involves a change of basis that incorporates exactly part of the
short distance interactions. The Hamiltonian is rewritten in new variables that
better represent the physics of the problem under study. A Hilbert space
expansion performed in the new basis follows. The method is successfully tested
using both the Heisenberg model and the model with holes on 2-leg ladders
and chains, including estimations for ground state energies, static
correlations, and spectra of excited states. An important feature of this
technique is its ability to calculate dynamical responses on clusters larger
than those that can be studied using Exact Diagonalization. The method is
applied to the analysis of the dynamical spin structure factor on
clusters with sites and 0 and 2 holes. Our results confirm
previous studies (M. Troyer, H. Tsunetsugu, and T. M. Rice, Phys. Rev. ,
251 (1996)) which suggested that the state of the lowest energy in the spin-1
2-holes subspace corresponds to the bound state of a hole pair and a
spin-triplet. Implications of this result for neutron scattering experiments
both on ladders and planes are discussed.Comment: 9 pages, 8 figures, Revtex + psfig; changed conten
Antiferromagnetism and phase separation in electronic models for doped transition-metal oxides
We investigate the ground state properties of electronic models for doped
manganites and nickelates. An effective t - J like Hamiltonian is derived from
the case of strong Hund coupling between the conduction electrons and localized
spins by means of the projection technique. An attractive interaction for
conduction electrons and an anti-ferromagnetic coupling of the localized spin
are obtained. A large ratio of the attraction to effective electron hopping,
which is modulated by the spin background, will lead to the phase separation.
The anti-ferromagnetic phase and the phase separation appear in the case of
either high or low density of electrons. The possible relevance of the phase
separation to the charge stripe phase in the manganites and nickelates is
discussed.Comment: 12 pages, ReVTEX, 3 figures. To appear in Phys. Rev. B (RC), (01Oct.,
1998
Charge and spin inhomogeneous phases in the Ferromagnetic Kondo Lattice Model
We study numerically the one-dimensional ferromagnetic Kondo lattice. This
model is widely used to describe nickel and manganese perovskites. Due to the
competition between double and super-exchange, we find a region where the
formation of magnetic polarons induces a charge-ordered state. This ordering is
present even in the absence of any inter-site Coulomb repulsion. There is an
insulating gap associated to the charge structure formation. We also study the
insulator-metal transition induced by a magnetic field which removes
simultaneously both charge and spin ordering.Comment: 7 pages, 11 figure
Multi-layer S=1/2 Heisenberg antiferromagnet
The multi-layer square lattice Heisenberg antiferromagnet with
up to 6 layers is studied via various series expansions. For the systems with
an odd number of coupled planes, the ground-state energy, staggered
magnetization, and triplet excitation spectra are calculated via two different
Ising expansions. The systems are found to have long range N\'eel order and
gapless excitations for all ratios of interlayer to intralayer couplings, as
for the single-layer system. For the systems with an even number of coupled
planes, there is a second order transition point separating the gapless Ne\'el
phase and gapped quantum disordered spin liquid phase, and the critical points
are located via expansions in the interlayer exchange coupling. This transition
point is found to vary about inversely as the number of layers. The triplet
excitation spectra are also computed, and at the critical point the normalized
spectra appear to follow a universal function, independent of number of layers.Comment: 13 pages plus 8 figure
Upper critical field for underdoped high-T_c superconductors. Pseudogap and stripe--phase
We investigate the upper critical field in a stripe--phase and in the
presence of a phenomenological pseudogap. Our results indicate that the
formation of stripes affects the Landau orbits and results in an enhancement of
. On the other hand, phenomenologically introduced pseudogap leads to a
reduction of the upper critical field. This effect is of particular importance
when the magnitude of the gap is of the order of the superconducting transition
temperature. We have found that a suppression of the upper critical field takes
place also for the gap that originates from the charge--density waves.Comment: 7 pages, 5 figure
Numerical Calculations of the B1g Raman Spectrum of the Two-Dimensional Heisenberg Model
The B1g Raman spectrum of the two-dimensional S=1/2 Heisenberg model is
discussed within Loudon-Fleury theory at both zero and finite temperature. The
exact T=0 spectrum for lattices with up to 6*6 sites is computed using Lanczos
exact diagonalization. A quantum Monte Carlo (QMC) method is used to calculate
the corresponding imaginary-time correlation function and its first two
derivatives for lattices with up to 16*16 spins. The imaginary-time data is
continued to real frequency using the maximum-entropy method, as well as a fit
based on spinwave theory. The numerical results are compared with spinwave
calculations for finite lattices. There is a surprisingly large change in the
exact spectrum going from 4*4 to 6*6 sites. In the former case there is a
single dominant two-magnon peak at frequency w/J appr. 3.0, whereas in the
latter case there are two approximately equal-sized peaks at w/J appr. 2.7 and
3.9. This is in good qualitative agreement with the spinwave calculations
including two-magnon processes on the same lattices. Both the Lanczos and the
QMC results indicate that the actual infinite-size two-magnon profile is
broader than the narrow peak obtained in spinwave theory, but the positions of
the maxima agree to within a few percent. The higher-order contributions
present in the numerical results are merged with the two-magnon profile and
extend up to frequencies w/J appr. 7. The first three frequency cumulants of
the spectrum are in excellent agreement with results previously obtained from a
series expansion around the Ising limit. Typical experimental B1g$ spectra for
La2CuO4 are only slightly broader than what we obtain here. The exchange
constant extracted from the peak position is J appr. 1400K, in good agreement
with values obtained from neutron scattering and NMR experiments.Comment: 15 pages, Revtex, 13 PostScript figure
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