2,744 research outputs found
Essential Differences between and Axis Tunneling and Zero Bias Conductance in the Cuprates
The peculiarities in tunneling characteristics have been studied in the light
of the controversy between s-wave and d-wave character of High
superconductivity. We show that anisotropic s-wave gap has the same low voltage
power law conductance and two peak structure in the density of states as d-wave
superconductors. The asymmetric tunneling conductance and zero bias conductance
for the c-axis tunneling is shown to occur because of finite band splitting
coming from the interlayer hopping parameter.Comment: revtex version 3.0, 13 pages 4 figures available on request from
[email protected] - IP/BBSR/94-2
Growth of fat slits and dispersionless KP hierarchy
A "fat slit" is a compact domain in the upper half plane bounded by a curve
with endpoints on the real axis and a segment of the real axis between them. We
consider conformal maps of the upper half plane to the exterior of a fat slit
parameterized by harmonic moments of the latter and show that they obey an
infinite set of Lax equations for the dispersionless KP hierarchy. Deformation
of a fat slit under changing a particular harmonic moment can be treated as a
growth process similar to the Laplacian growth of domains in the whole plane.
This construction extends the well known link between solutions to the
dispersionless KP hierarchy and conformal maps of slit domains in the upper
half plane and provides a new, large family of solutions.Comment: 26 pages, 6 figures, typos correcte
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