263 research outputs found
Two phase transitions in (s+id)-wave Bardeen-Cooper-Schrieffer superconductivity
We establish universal behavior in temperature dependencies of some
observables in -wave BCS superconductivity in the presence of a weak
wave. There also could appear a second second-order phase transition. As
temperature is lowered past the usual critical temperature , a less
ordered superconducting phase is created in wave, which changes to a more
ordered phase in wave at (). The presence of two phase
transitions manifest in two jumps in specific heat at and . The
temperature dependencies of susceptibility, penetration depth, and thermal
conductivity also confirm the new phase transition.Comment: 6 pages, 5 post-script figures
Temporal Partitioning and Overlapping Use of a Shared Natural Resource by People and Elephants
In social-ecological systems around the world, human-wildlife interactions are on the rise, often with negative consequences. This problem is particularly salient in areas where populations of humans and wildlife are increasing and share limited space and resources. However, few studies look at how both people and wildlife navigate shared spaces. To better examine people and wildlife within the same environment, we used methods from social science and spatial ecology to investigate how humans and elephants in Botswana utilize trees, a shared natural resource. Trees provide an opportunity to study shared resource use because they are important for people as firewood and for elephants as food and habitat. We compared tree species gathered on 49 firewood collections with the species damaged by elephants in 83 vegetation plots. We found that many tree species were damaged by elephants in ways that would generate firewood. There was also a strong overlap in the tree species that people collected and the species that elephants browsed and/or damaged. We compared spatially-explicit firewood collection locations and movement data from elephant GPS collars to model resource selection by people and elephants. Proximity to settlements was a strong driving factor for people in firewood collection, while various factors including vegetation characteristics played a role in predicting elephant movement. We found that areas where people collect firewood were negatively correlated with daytime elephant movement and positively correlated with nighttime elephant movement. We further compared the times that people collected firewood with the times when elephants were near the villages and found that people collected firewood during daylight hours when elephants were not nearby, providing further evidence of temporal partitioning. People and elephants utilized the same species of trees, and also had correlated spatial patterns of resource selection. Therefore, elephant foraging of trees provides a previously unrecognized utility to people in the form of firewood creation, and temporal partitioning allows this to occur without direct human-elephant interaction
Tunneling into Current-Carrying Surface States of High T Superconductors
Theoretical results for the ab-plane tunneling conductance in the d-wave
model for high Tc superconductors are presented. The d-wave model predicts
surface bound states below the maximum gap. A sub-dominant order parameter,
stabilized by the surface, leads to a splitting of the zero-bias conductance
peak (ZBCP) in zero external field and to spontaneous surface currents. In a
magnetic field screening currents shift the quasiparticle bound state spectrum
and lead to a voltage splitting of the ZBCP that is linear in H at low fields,
and saturates at a pairbreaking critical field of order 3 Tesla. Comparisons
with recent experimental results on Cu/YBCO junctions are presented.Comment: 4 pages in a RevTex (3.0) file plus 3 Figures in PostScript. To
appear in Phys. Rev. Let
D-Wave Superconductors near Surfaces and Interfaces: A Scattering Matrix Approach within the Quasiclassical Technique
A recently developed method [A. Shelankov and M. Ozana, Phys. Rev. B 61, 7077
(2000)] is applied to investigate d-wave superconductors in the vicinity of
(rough) surfaces. While this method allows the incorporation of arbitrary
interfaces into the quasiclassical technique, we discuss, as examples,
diffusive surfaces and boundaries with small tilted mirrors (facets). The
properties of the surface enter via the scattering matrix in the boundary
condition for the quasiclassical Green's function. The diffusive surface is
described by an ensemble of random scattering matrices. We find that the
fluctuations of the density of states around the average are small; the zero
bias conductance peak broadens with increasing disorder. The faceted surface is
described in the model where the scattering matrix couples m in- and m
out-trajectories (m>=2). No zero bias conductance peak is found for [100]
surfaces; the relation to the model of Fogelstrom et al. [Phys. Rev. Lett. 79,
281 (1997)] is discussed.Comment: RevTeX, 19 pages, 18 figure
Nuclear spin-lattice relaxation rate in the D+iD superconducting state: implications for CoO superconductor
We calculated the nuclear spin-lattice relaxation rate for the D+iD
superconducting state with impurities. We found that small amount of unitary
impurities quickly produces the residual density of states inside the gap. As a
result, the T-linear behavior in 1/T is observed at low temperatures. Our
results show that the D+iD pairing symmetry of the superconducting state of
NaCoOH O is compatible with recent Co 1/T
experiments of several groups.Comment: 5 pages, 4 figures, minor change
Quasiparticle Bound States and Low-Temperature Peaks of the Conductance of NIS Junctions in d-Wave Superconductors
Quasiparticle states bound to the boundary of anisotropically paired
superconductors, their contributions to the density of states and to the
conductance of NIS junctions are studied both analytically and numerically. For
smooth surfaces and real order parameter we find some general results for the
bound state energies. In particular, we show that under fairly general
conditions quasiparticle states with nonzero energies exist for momentum
directions within a narrow region around the surface normal. The energy
dispersion of the bound states always has an extremum for the direction along
the normal. Along with the zero-bias anomaly due to midgap states, we find, for
quasi two-dimensional materials, additional low-temperature peaks in the
conductance of NIS junctions for voltages determined by the extrema of the
bound state energies. The influence of interface roughness on the conductance
is investigated within the framework of Ovchinnikov's model. We show that
nonzero-bias peaks at low temperatures may give information on the order
parameter in the bulk, even though it is suppressed at the surface.Comment: 14 pages, PostScrip
Thermodynamic Potential for Superfluid 3He in Aerogel
We present a free energy functional for superfluid 3He in the presence of
homogeneously distributed impurity disorder which extends the Ginzburg-Landau
free energy functional to all temperatures. We use the new free energy
functional to calculate the thermodynamic potential, entropy, heat capacity and
density of states for the B-phase of superfluid 3He in homogeneous, isotropic
aerogel.Comment: 10 pages, 4 figure
Quasiparticle Interface States in Junctions Involving d-Wave Superconductors
Influence of surface pair breaking, barrier transmission and phase difference
on quasiparticle bound states in junctions with d-wave superconductors is
examined. Based on the quasiclassical theory of superconductivity, an approach
is developed to handle interface bound states. It is shown in SIS' junctions
that low energy bound states get their energies reduced by surface pair
breaking, which can be taken into account by introducing an effective order
parameter for each superconductor at the junction barrier. More interestingly,
for the interface bound states near the continuous spectrum the effect of
surface pair breaking may result in a splitting of the bound states. In the
tunneling limit this can lead to a square root dependence of a nonequilibrium
Josephson current on the barrier transmision, which means an enhancement as
compared to the conventional critical current linear in the transmission.
Reduced broadening of bound states in NIS junctions due to surface pair
breaking is found.Comment: 27 pages, Latex fil
Interface effects on the shot noise in normal metal- d-wave superconductor Junctions
The current fluctuation in normal metal / d-wave superconductor junctions are
studied for various orientation of the crystal by taking account of the spatial
variation of the pair potentials. Not only the zero-energy Andreev bound states
(ZES) but also the non-zero energy Andreev bound states influence on the
properties of differential shot noise. At the tunneling limit, the noise power
to current ratio at zero voltage becomes 0, once the ZES are formed at the
interface. Under the presence of a subdominant s-wave component at the
interface which breaks time-reversal symmetry, the ratio becomes 4eComment: 13 pages, 3 figure
Stronger computational modelling of signalling pathways using both continuous and discrete-state methods
Starting from a biochemical signalling pathway model expresses in a process algebra enriched with quantitative information, we automatically derive both continuous-space and discrete-space representations suitable for numerical evaluation. We compare results obtained using approximate stochastic simulation thereby exposing a flaw in the use of the differentiation procedure producing misleading results
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