11,518 research outputs found
Magnetic properties of the doped two-dimensional antiferromagnet
The variety of the normal-state magnetic properties of cuprate high-Tc
superconductors is interpreted based on the self-consistent solution of the
self-energy equations for the two-dimensional t-J model. The observed
variations of the spin correlation length with the hole concentration x, of the
spin susceptibility with x and temperature T and the scaling of the static
uniform susceptibility are well reproduced by the calculated results. The
nonmonotonic temperature dependence of the Cu spin-lattice relaxation rate is
connected with two competing tendencies in the low-frequency susceptibility:
its temperature decrease due to the increasing spin gap and the growth of the
susceptibility in this frequency region with the temperature broadening of the
maximum in the susceptibility.Comment: 6 pages, 5 figures, Proc. Int. Conf. "Modern Problems of
Superconductivity", 9-14 Sept. 2002, Yalta, Ukrain
Non-ergodic effects in the Coulomb glass: specific heat
We present a numerical method for the investigation of non-ergodic effects in
the Coulomb glass. For that, an almost complete set of low-energy many-particle
states is obtained by a new algorithm. The dynamics of the sample is mapped to
the graph formed by the relevant transitions between these states, that means
by transitions with rates larger than the inverse of the duration of the
measurement. The formation of isolated clusters in the graph indicates
non-ergodicity. We analyze the connectivity of this graph in dependence on
temperature, duration of measurement, degree of disorder, and dimensionality,
studying how non-ergodicity is reflected in the specific heat.Comment: Submited Phys. Rev.
Partitioning Schemes and Non-Integer Box Sizes for the Box-Counting Algorithm in Multifractal Analysis
We compare different partitioning schemes for the box-counting algorithm in
the multifractal analysis by computing the singularity spectrum and the
distribution of the box probabilities. As model system we use the Anderson
model of localization in two and three dimensions. We show that a partitioning
scheme which includes unrestricted values of the box size and an average over
all box origins leads to smaller error bounds than the standard method using
only integer ratios of the linear system size and the box size which was found
by Rodriguez et al. (Eur. Phys. J. B 67, 77-82 (2009)) to yield the most
reliable results.Comment: 10 pages, 13 figure
Finite-Size Scaling of the Level Compressibility at the Anderson Transition
We compute the number level variance and the level
compressibility from high precision data for the Anderson model of
localization and show that they can be used in order to estimate the critical
properties at the metal-insulator transition by means of finite-size scaling.
With , , and denoting, respectively, system size, disorder strength,
and the average number of levels in units of the mean level spacing, we find
that both and the integrated obey finite-size scaling.
The high precision data was obtained for an anisotropic three-dimensional
Anderson model with disorder given by a box distribution of width . We
compute the critical exponent as and the critical
disorder as in agreement with previous
transfer-matrix studies in the anisotropic model. Furthermore, we find
at the metal-insulator transition in very close
agreement with previous results.Comment: Revised version of paper, to be published: Eur. Phys. J. B (2002
Transport properties near the Anderson transition
The electronic transport properties in the presence of a temperature gradient
in disordered systems near the metal-insulator transition [MIT] are considered.
The d.c. conductivity , the thermoelectric power , the thermal
conductivity and the Lorenz number are calculated for the
three-dimensional Anderson model of localization using the
Chester-Thellung-Kubo-Greenwood formulation of linear response. We show that
, S, K and can be scaled to one-parameter scaling curves with a
single scaling paramter .Comment: 4 pages, 4 EPS figures, uses annalen.cls style [included]; presented
at Localization 1999, to appear in Annalen der Physik [supplement
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