350 research outputs found
Controlled Manipulation of Individual Vortices in a Superconductor
We report controlled local manipulation of single vortices by low temperature
magnetic force microscope (MFM) in a thin film of superconducting Nb. We are
able to position the vortices in arbitrary configurations and to measure the
distribution of local depinning forces. This technique opens up new
possibilities for the characterization and use of vortices in superconductors
Anisotropic thermodynamics of d-wave superconductors in the vortex state
We show that the density of states and the thermodynamic properties of a 2D
d-wave superconductor in the vortex state with applied magnetic field
in the plane depend on the angle between and the order parameter nodes.
Within a semiclassical treatment of the extended quasiparticle states, we
obtain fourfold oscillations of the specific heat, measurement of which
provides a simple probe of gap symmetry. The frequency dependence of the
density of states and the temperature dependence of thermodynamic properties
obey different power laws for field in the nodal and anti-nodal direction. The
fourfold pattern is changed to twofold when orthorhombicity is considered.Comment: 5 pages, figures included, minor changes, published versio
Combined Paramagnetic and Diamagnetic Response of YBCO
It has been predicted that the zero frequency density of states of YBCO in
the superconducting phase can display interesting anisotropy effects when a
magnetic field is applied parallel to the copper-oxide planes, due to the
diamagnetic response of the quasi-particles. In this paper we incorporate
paramagnetism into the theory and show that it lessens the anisotropy and can
even eliminate it altogether. At the same time paramagnetism also changes the
scaling with the square root of the magnetic field first deduced by Volovik
leading to an experimentally testable prediction. We also map out the analytic
structure of the zero frequency density of states as a function of the
diamagnetic and paramagnetic energies. At certain critical magnetic field
values we predict kinks as we vary the magnetic field. However these probably
lie beyond currently accessible field strengths
Transport Properties of d-Wave Superconductors in the Vortex State
We calculate the magnetic field dependence of quasiparticle transport
properties in the vortex state of a d-wave superconductor arising solely from
the quasiparticle's Doppler shift in the superflow field surrounding the
vortex. Qualitative features agree well with experiments on cuprate and heavy
fermion superconductors at low fields and temperatures. We derive scaling
relations in the variable valid at sufficiently low temperatures
and fields , but show that these relations depend on the scattering
phase shift, and are in general fulfilled only approximately even in the clean
limit, due to the energy dependence of the quasiparticle relaxation time.Comment: 5 pages, 2 Postscript figure
Accurate matrix exponential computation to solve coupled differential models in engineering
NOTICE: this is the author’s version of a work that was accepted for publication in Mathematical and Computer Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Mathematical and Computer Modelling
[Volume 54, Issues 7–8, October 2011] DOI: 10.1016/j.mcm.2010.12.049The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward and backward error analysis with improved bounds for normal and nonnormal matrices. Applied to the Taylor method, it has presented a lower or similar cost compared to the state-of-the-art Padé algorithms with better accuracy results in the majority of test matrices, avoiding Padé's denominator condition problems. © 2011 Elsevier Ltd.This work has been supported by Universidad Politecnica de Valencia grants PAID-05-09-4338, PAID-06-08-3307 and Spanish Ministerio de Educacion grant MTM2009-08587.Sastre, J.; Ibáñez González, JJ.; Defez Candel, E.; Ruiz MartÃnez, PA. (2011). Accurate matrix exponential computation to solve coupled differential models in engineering. Mathematical and Computer Modelling. 54(7-8):1835-1840. https://doi.org/10.1016/j.mcm.2010.12.049S18351840547-
Upper limit on spontaneous supercurrents in SrRuO
It is widely believed that the perovskite SrRuO is an unconventional
superconductor with broken time reversal symmetry. It has been predicted that
superconductors with broken time reversal symmetry should have spontaneously
generated supercurrents at edges and domain walls. We have done careful imaging
of the magnetic fields above SrRuO single crystals using scanning Hall
bar and SQUID microscopies, and see no evidence for such spontaneously
generated supercurrents. We use the results from our magnetic imaging to place
upper limits on the spontaneously generated supercurrents at edges and domain
walls as a function of domain size. For a single domain, this upper limit is
below the predicted signal by two orders of magnitude. We speculate on the
causes and implications of the lack of large spontaneous supercurrents in this
very interesting superconducting system.Comment: 9 page
Electronic specific heat and low energy quasiparticle excitations in superconducting state of single crystals
Low temperature specific heat has been measured and extensively analyzed on a
series of single crystals from underdoped to overdoped
regime. From these data the quasiparticle density of states (DOS) in the mixed
state is derived and compared to the predicted scaling law
of d-wave superconductivity. It is found that
the scaling law can be nicely followed by the optimally doped sample (x=0.15)
in quite wide region of (). However, the region
for this scaling becomes smaller and smaller towards more underdoped region: a
clear trend can be seen for samples from x=0.15 to 0.069. Therefore, generally
speaking, the scaling quality becomes worse on the underdoped samples in terms
of scalable region of . This feature in the underdoped region is
explained as due to the low energy excitations from a second order (for
example, anti-ferromagnetic correlation, d-density wave, spin density wave or
charge density wave order) that may co-exist or compete with superconductivity.
Surprisingly, deviations from the d-wave scaling law have also been found for
the overdoped sample (x=0.22). While the scaling law is reconciled for the
overdoped sample when the core size effect is taken into account. An important
discovery of present work is that the zero-temperature data follow the
Volovik's relation quite well for all samples
investigated here although the applicability of the d-wave scaling law to the
data at finite temperatures varies with doped hole concentration. Finally we
present the doping dependence of some parameters, such as, the residual linear
term , the value, etc. ...Comment: 15 pages, 24 figure
Superconductivity from Undressing. II. Single Particle Green's Function and Photoemission in Cuprates
Experimental evidence indicates that the superconducting transition in high
cuprates is an 'undressing' transition. Microscopic mechanisms giving
rise to this physics were discussed in the first paper of this series. Here we
discuss the calculation of the single particle Green's function and spectral
function for Hamiltonians describing undressing transitions in the normal and
superconducting states. A single parameter, , describes the strength
of the undressing process and drives the transition to superconductivity. In
the normal state, the spectral function evolves from predominantly incoherent
to partly coherent as the hole concentration increases. In the superconducting
state, the 'normal' Green's function acquires a contribution from the anomalous
Green's function when is non-zero; the resulting contribution to
the spectral function is for hole extraction and for hole
injection. It is proposed that these results explain the observation of sharp
quasiparticle states in the superconducting state of cuprates along the
direction and their absence along the direction.Comment: figures have been condensed in fewer pages for easier readin
Metal-coated carbon nanotube tips for Magnetic Force Microscopy
We fabricated cantilevers for magnetic force microscopy with carbon nanotube
tips coated with magnetic material. Images of a custom hard drive demonstrated
20 nm lateral resolution, with prospects for further improvements.Comment: Accepted to be published in Applied Physics Letter
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