67 research outputs found
Cluster size entropy in the Axelrod model of social influence: small-world networks and mass media
We study the Axelrod's cultural adaptation model using the concept of cluster
size entropy, that gives information on the variability of the cultural
cluster size present in the system. Using networks of different topologies,
from regular to random, we find that the critical point of the well-known
nonequilibrium monocultural-multicultural (order-disorder) transition of the
Axelrod model is unambiguously given by the maximum of the
distributions. The width of the cluster entropy distributions can be used to
qualitatively determine whether the transition is first- or second-order. By
scaling the cluster entropy distributions we were able to obtain a relationship
between the critical cultural trait and the number of cultural
features in regular networks. We also analyze the effect of the mass media
(external field) on social systems within the Axelrod model in a square
network. We find a new partially ordered phase whose largest cultural cluster
is not aligned with the external field, in contrast with a recent suggestion
that this type of phase cannot be formed in regular networks. We draw a new
phase diagram for the Axelrod model in regular networks.Comment: 21 pages, 7 figure
Unusual behaviours and Impurity Effects in the Noncentrosymmetric Superconductor CePt3Si
We report a study in which the effect of defects/impurities, growth process,
off-stoichiometry, and presence of impurity phases on the superconducting
properties of noncentrosymmetric CePt3Si is analysed by means of the
temperature dependence of the magnetic penetration depth. We found that the
linear low-temperature response of the penetration depth -indicative of line
nodes in this material- is robust regarding sample quality, in contrast to what
is observed in unconventional centrosymmetric superconductors with line nodes.
We discuss evidence that the broadness of the superconducting transition may be
intrinsic, though not implying the existence of a second superconducting
transition. The superconducting transition temperature systematically occurs
around 0.75 K in our measurements, in agreement with resistivity and ac
magnetic susceptibility data but in conflict with specific heat, thermal
conductivity and NMR data in which Tc is about 0.5 K. Random defects do not
change the linear low-temperature dependence of the penetration depth in the
heavy-fermion CePt3Si with line nodes, as they do in unconventional
centrosymmetric superconductors with line nodes.Comment: To appear in New Journal of Physic
Possible f-wave superconductivity in SrRuO?
Until recently it has been believed that the superconductivity in
SrRuO is described by p-wave pairing. However, both the recent specific
heat and the magnetic penetration depth measurements on the purest single
crystals of SrRuO appear to be explained more consistently in terms of
f-wave superconductivity. In order to further this hypothesis, we study
theoretically the thermodynamics and thermal conductivity of f-wave
superconductors in a planar magnetic field. We find the simple expressions for
these quantities when and , which should be
readily accessible experimentally.Comment: 6 pages, 2 figure
Non-Locality and Strong Coupling in the Heavy Fermion Superconductor CeCoIn: A Penetration Depth Study
We report measurements of the magnetic penetration depth in single
crystals of CeCoIn down to 0.14 K using a tunnel-diode based,
self-inductive technique at 28 MHz. While the in-plane penetration depth tends
to follow a power law, , the data are better
described as a crossover between linear ({\it T} ) and
quadratic ({\it T} ) behavior, with the
crossover temperature in the strong-coupling limit. The {\it c}-axis
penetration depth is linear in {\it T}, providing evidence
that CeCoIn is a {\it d}-wave superconductor with line nodes along the
{\it c}-axis. The different temperature dependences of and
rule out impurity effects as the source of .Comment: 4 pages, 3 figure
Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
We argue the emergence of nodal excitations due to the coupling with static
antiferromagnetic order in fully-gapped superconducting states in both cases
with and without inversion symmetry. This line node structure is not
accompanied with the sign change of the superconducting gap, in contrast to
usual unconventional Cooper pairs with higher angular momenta. In the case
without inversion symmetry, the stability of the nodal excitations crucially
depends on the direction of the antiferromagnetic staggered magnetic moment. A
possible realization of this phenomenon in CePtSi is discussed.Comment: 4 pages, 7 figure
Nonuniform Spin Triplet Superconductivity due to Antisymmetric Spin-Orbit Coupling in Noncentrosymmetric Superconductor CePtSi
We show that the nonuniform state (Fulde-Ferrel-Larkin-Ovchinnikov (FFLO)
state) of the spin triplet superconductivity in noncentrosymmetric systems is
stabilized by antisymmetric spin-orbit coupling even if the magnetic field is
absent. The transition temperature of the spin triplet superconductivity is
reduced by the antisymmetric spin-orbit coupling in general. This pair breaking
effect is shown to be similar to the Pauli pair breaking effect due to magnetic
field for the spin singlet superconductivity, in which FFLO state is stabilized
near the Pauli limit (or Chandrasekhar-Clogston limit) of external magnetic
field. Since there are gapless excitations in nonuniform superconducting state,
some physical quantities such as specific heat and penetration depth should
obey the power low temperature-dependences. We discuss the possibility of the
realization of nonuniform state in CePtSi.Comment: 8 pages, 6 figure
Ultrasonic attenuation in magnetic fields for superconducting states with line nodes in Sr2RuO4
We calculate the ultrasonic attenuation in magnetic fields for
superconducting states with line nodes vertical or horizontal relative to the
RuO_2 planes. This theory, which is valid for fields near Hc2 and not too low
temperatures, takes into account the effects of supercurrent flow and Andreev
scattering by the Abrikosov vortex lattice. For rotating in-plane field
H(theta) the attenuation alpha(theta)exhibits variations of fourfold symmetry
in the rotation angle theta. In the case of vertical nodes, the transverse T100
sound mode yields the weakest(linear)H and T dependence of alpha, while the
longitudinal L100 mode yields a stronger (quadratic) H and T dependence. This
is in strong contrast to the case of horizontal line nodes where alpha is the
same for the T100 and L100 modes (apart from a shift of pi/4 in field
direction) and is roughly a quadratic function of H and T. Thus we conclude
that measurements of alpha in in-plane magnetic fields for different in-plane
sound modes may be an important tool for probing the nodal structure of the gap
in Sr_2RuO_4.Comment: 5 pages, 6 figures, replaced in non-preprint form, to appear in Phys.
Rev.
Effect of Band Structure on the Symmetry of Superconducting States
Effects of the band structure on the symmetry of superconducting (SC) states
are studied. For a square lattice system with a nearest-neighbor attractive
interaction, SC states with various symmetries are found by changing the band
structure, or, the shape of the Fermi surface. The spin-triplet (-wave) and spin-singlet (- or s-wave) SC states, and states with their
coexistence (, ) can be stabilized within the same type of
interaction. The stability of interlayer-pairing states with line nodes is also
examined, and its relation to the SC state of SrRuO is discussed.Comment: 4 pages, 4 figure
Interlayer Coupling and p-wave Pairing in Strontium Ruthenate
On the basis of a three orbital model and an effective attractive interaction
between electrons we investigate the possible superconducting states, with
and -wave internal symmetry, of SrRuO. For an orbital dependent
interaction which acts between in plane and out of plane nearest neighbour
Ruthenium atoms we find a state for which the gap in the quasi-particle spectra
has a line node on the and sheets of the Fermi Surface, but
it is complex with no nodes on the -sheet. We show that this state is
consistent with all the available experimental data. In particular, we present
the results of our calculations of the specific heat and penetration depth as
functions of the temperature.Comment: 4 pages, 5 figure
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