197 research outputs found
Single hole dynamics in the Kondo Necklace and Bilayer Heisenberg models on a square lattice
We study single hole dynamics in the bilayer Heisenberg and Kondo Necklace
models. Those models exhibit a magnetic order-disorder quantum phase transition
as a function of the interlayer coupling J_perp. At strong coupling in the
disordered phase, both models have a single-hole dispersion relation with band
maximum at p = (\pi,\pi) and an effective mass at this p-point which scales as
the hopping matrix element t. In the Kondo Necklace model, we show that the
effective mass at p = (\pi,\pi) remains finite for all considered values of
J_perp such that the strong coupling features of the dispersion relation are
apparent down to weak coupling. In contrast, in the bilayer Heisenberg model,
the effective mass diverges at a finite value of J_perp. This divergence of the
effective mass is unrelated to the magnetic quantum phase transition and at
weak coupling the dispersion relation maps onto that of a single hole doped in
a planar antiferromagnet with band maximum at p = (\pi/2,\pi/2). We equally
study the behavior of the quasiparticle residue in the vicinity of the magnetic
quantum phase transition both for a mobile and static hole. In contrast to
analytical approaches, our numerical results do not unambiguously support the
fact that the quasiparticle residue of the static hole vanishes in the vicinity
of the critical point. The above results are obtained with a generalized
version of the loop algorithm to include single hole dynamics on lattice sizes
up to 20 X 20.Comment: 12 pages, 13 Fig
Optical properties and Raman scattering of vanadium ladder compounds
We investigate electronic and optical properties of the V-based ladder
compounds NaV2O5, the iso-structural CaV2O5, as well as MgV2O5, which differs
from NaV2O5 and CaV2O5 in the c axis stacking. We calculate ab initio the A_g
phonon modes in these compounds as a basis for the investigation of the
electron-phonon and spin-phonon coupling. The phonon modes together with the
dielectric tensors as a function of the corresponding ion displacements are the
starting point for the calculation of the A_g Raman scattering.Comment: 4 pages, 5 figures, .bbl file with references included. Accepted for
publication in Physica Script
Charge order induced by electron-lattice interaction in NaV2O5
We present Density Matrix Renormalization Group calculations of the
ground-state properties of quarter-filled ladders including static
electron-lattice coupling. Isolated ladders and two coupled ladders are
considered, with model parameters obtained from band-structure calculations for
-NaVO. The relevant Holstein coupling to the lattice
causes static out-of-plane lattice distortions, which appear concurrently with
a charge-ordered state and which exhibit the same zigzag pattern observed in
experiments. The inclusion of electron-lattice coupling drastically reduces the
critical nearest-neighbor Coulomb repulsion needed to obtain the
charge-ordered state. No spin gap is present in the ordered phase. The charge
ordering is driven by the Coulomb repulsion and the electron-lattice
interaction. With electron-lattice interaction, coupling two ladders has
virtually no effect on or on the characteristics of the charge-ordered
phase. At V=0.46\eV, a value consistent with previous estimates, the lattice
distortion, charge gap, charge order parameter, and the effective spin coupling
are in good agreement with experimental data for NaVO_5$.Comment: 7 pages, 9 figure
Quantum Monte Carlo Simulation of the Trellis Lattice Heisenberg Model for SrCuO and CaVO
We study the spin-1/2 trellis lattice Heisenberg model, a coupled spin ladder
system, both by perturbation around the dimer limit and by quantum Monte Carlo
simulations. We discuss the influence of the inter-ladder coupling on the spin
gap and the dispersion, and present results for the temperature dependence of
the uniform susceptibility. The latter was found to be parameterized well by a
mean-field type scaling ansatz. Finally we discuss fits of experimental
measurements on SrCuO and CaVO to our results.Comment: 7 pages, 8 figure
Cluster Algorithm for a Solid-On-Solid Model with Constraints
We adapt the VMR (valleys-to-mountains reflections) algorithm, originally
devised by us for simulations of SOS models, to the BCSOS model. It is the
first time that a cluster algorithm is used for a model with constraints. The
performance of this new algorithm is studied in detail in both phases of the
model, including a finite size scaling analysis of the autocorrelations.Comment: 10 pages, 3 figures appended as ps-file
Randomness-driven quantum phase transition in bond-alternating Haldane chain
The effect of bond randomness on the spin-gapped ground state of the spin-1
bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the
loop cluster quantum Monte Carlo method, we investigate the stability of
topological order in terms of the recently proposed twist order parameter [M.
Nakamura and S. Todo: Phys. Rev. Lett. 89 (2002) 077204]. It is observed that
the dimer phases as well as the Haldane phase of the spin-1 Heisenberg chain
are robust against a weak randomness, though the valence-bond-solid-like
topological order in the latter phase is destroyed by introducing a disorder
stronger than the critical value.Comment: 4 pages, 5 figures; minor changes; accepted for publication in J.
Phys. Soc. Jp
Meron-Cluster Solution of Fermion and Other Sign Problems
Numerical simulations of numerous quantum systems suffer from the notorious
sign problem. Important examples include QCD and other field theories at
non-zero chemical potential, at non-zero vacuum angle, or with an odd number of
flavors, as well as the Hubbard model for high-temperature superconductivity
and quantum antiferromagnets in an external magnetic field. In all these cases
standard simulation algorithms require an exponentially large statistics in
large space-time volumes and are thus impossible to use in practice.
Meron-cluster algorithms realize a general strategy to solve severe sign
problems but must be constructed for each individual case. They lead to a
complete solution of the sign problem in several of the above cases.Comment: 15 pages,LATTICE9
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