4,108 research outputs found
Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
Field theory calculations predict multiplicative logarithmic corrections to
correlation functions from marginally irrelevant operators. However, for the
numerically most suitable model - the spin-1/2 chain - these corrections have
been controversial. In this paper, the spin-spin correlation function of the
antiferromagnetic spin-1/2 chain is calculated numerically in the presence of a
next nearest neighbor coupling J2 for chains of up to 32 sites. By varying the
coupling strength J2 we can control the effect of the marginal operator, and
our results unambiguously confirm the field theory predictions. The critical
value at which the marginal operator vanishes has been determined to be at J2 =
0.241167 +/- 0.000005J.Comment: revised paper with extended data-analysis. 5 pages, using revtex with
4 embedded figures (included with macro). A complete postscript file with all
figures + text (5 pages) is available from
http://FY.CHALMERS.SE/~eggert/marginal.ps or by request from
[email protected]
Edge Logarithmic Corrections probed by Impurity NMR
Semi-infinite quantum spin chains display spin autocorrelations near the
boundary with power-law exponents that are given by boundary conformal field
theories. We show that NMR measurements on spinless impurities that break a
quantum spin chain lead to a spin-lattice relaxation rate 1/T_1^edge that has a
temperature dependence which is a direct probe of the anomalous boundary
exponents. For the antiferromagnetic S=1/2 spin chain, we show that 1/T_1^edge
behaves as T (log T)^2 instead of (log T)^1/2 for a bulk measurement. We show
that, in the case of a one-dimensional conductor described by a Luttinger
liquid, a similar measurement leads to a relaxation rate 1/T_1^{edge} behaving
as T, independent of the anomalous exponent K_rho.Comment: 4 pages, 1 encapsulated figure, corrected typo
The Doctrine of the Church According to the Ephesians with a Preliminary Disscussion on the Word EKKLESIA
All the doctrines of the Church should have a solid foundation, a sedes doctrine, in the Scripture. This is particularly true of the doctrine of the Church. The Epistle to the Ephesians is, without doubt, the best characterization of the Church in all the Scripture. Evidently it was Paul\u27s special purpose to give the whole church a clear picture of itself in this letter
Transport and scattering in inhomogeneous quantum wires
We consider scattering and transport in interacting quantum wires that are
connected to leads. Such a setup can be represented by a minimal model of
interacting fermions with inhomogeneities in the form of sudden changes in
interaction strength and/or velocity. The inhomogeneities generally cause
relevant backscattering, so it is a priori unclear if a perfectly ballistic
quantum wire can exist in the low temperature limit. We are able to identify
such a perfectly conducting fixed point even for large abrupt changes, which in
the considered model corresponds to a velocity matching condition. The general
position dependent Green's function is calculated in the presence of a sudden
change, which is confirmed numerically with high accuracy. The exact form of
the interference pattern in the form of density oscillations around
inhomogeneities can be used to estimate the effective strength of local
backscattering sources.Comment: 5 pages, 3 figures. Published version. For more information and the
latest version see http://www.physik.uni-kl.de/eggert/papers/index.htm
Impurity corrections to the thermodynamics in spin chains using a transfer-matrix DMRG method
We use the density matrix renormalization group (DMRG) for transfer matrices
to numerically calculate impurity corrections to thermodynamic properties. The
method is applied to two impurity models in the spin-1/2 chain, namely a weak
link in the chain and an external impurity spin. The numerical analysis
confirms the field theory calculations and gives new results for the crossover
behavior.Comment: 9 pages in revtex format including 5 embedded figures (using epsf).
To appear in PRB. The latest version in PDF format can be found at
http://fy.chalmers.se/~eggert/papers/DMRGimp.pd
An Accurate Determination of the Exchange Constant in Sr_2CuO_3 from Recent Theoretical Results
Data from susceptibility measurements on Sr_2CuO_3 are compared with recent
theoretical predictions for the magnetic susceptibility of the
antiferromagnetic spin-1/2 Heisenberg chain. The experimental data fully
confirms the theoretical predictions and in turn we establish that Sr_2CuO_3
behaves almost perfectly like a one-dimensional antiferromagnet with an
exchange coupling of J = 1700^{+150}_{-100}K.Comment: revised and reformatted paper with new title to appear in Phys. Rev B
(Feb.1996). 3 pages (revtex) with 3 embedded figures (macro included). A
complete postscript file is available from
http://fy.chalmers.se/~eggert/expsusc.ps or by request from
[email protected]
Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
The exact amplitude for the asymptotic correlation function in the S=1/2
Heisenberg antiferromagnetic chain is determined: goes to (-1)^r
delta^{ab}(ln r)^{1/2}/[(2 pi)^{3/2}r]. The behaviour of the correlation
functions for small xxz anisotropy and the form of finite-size corrections to
the correlation function are also analysed.Comment: 8 pages, 3 figures, added reference and discussio
Interaction effects between impurities in low dimensional spin-1/2 antiferromagnets
We are considering the interplay between several non-magnetic impurities in
the spin-1/2 Heisenberg antiferromagnet in chains, ladders and planes by
introducing static vacancies in numerical quantum Monte Carlo simulations. The
effective potential between two and more impurities is accurately determined,
which gives a direct measure of the quantum correlations in the systems. Large
effective interaction potentials are an indication of strong quantum
correlations in the system and reflect the detailed nature of the valence bond
ground states. In two-dimensions (2D) the interactions are smaller, but can
still be analyzed in terms of valence bonds.Comment: 8 pages, 6 figures, accepted by Europhys. Lett. The latest pdf file
is available at http://www.physik.uni-kl.de/eggert/papers/interact2d.pd
Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
The density matrix renormalization group (DMRG) method is applied to the
anisotropic Heisenberg chain at finite temperatures. The free energy of the
system is obtained using the quantum transfer matrix which is iteratively
enlarged in the imaginary time direction. The magnetic susceptibility and the
specific heat are calculated down to T=0.01J and compared with the Bethe ansatz
results. The agreement including the logarithmic correction in the magnetic
susceptibility at the isotropic point is fairly good.Comment: 4 pages, 3 Postscript figures, REVTeX, to appear in J. Phys. Soc.
Jpn. Vol.66 No.8 (1997
Differential effect of a distractor on primary saccades and perceptual localization
AbstractA distractor presented nearby the target of a goal-directed short latency saccade leads to spatial averaging, that is, the saccade lands between the target and the distractor. This so-called global effect is a characteristic feature of the spatial processing underlying the programming of saccadic eye movements. To determine whether this effect of near distractors on saccade metrics is also reflected in perceptual localization, subjects performed a saccade task and a perceptual localization task using identical, briefly flashed visual stimuli. To make the available visual processing time for saccades and perception more similar, we followed the target with a mask.Without the mask, primary saccades with short latency landed between target and distractor. The distractor had less effect on primary saccades with longer latencies (>200 ms) and did not affect the final eye position after late secondary saccades in the dark. This indicates that the oculomotor system can correctly use information about the target location 200 ms after the target flash even if no visual stimulus is present during this period. Likewise the presence of a distractor did not affect perceptual localization.Under the masking condition a similar global effect occurred for primary saccades with short latencies, but the latency dependence of the global effect was weakened. Secondary saccades and perceptual localization still did not show a global effect. The results suggest that the primary saccade is based on a specific target acquisition process that differs from that used for spatial perception and for the programming of memory-guided corrective saccades
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