860 research outputs found
Why the lowest Landau level approximation works in strongly type II superconductors
Higher than the lowest Landau level contributions to magnetization and
specific heat of superconductors are calculated using Ginzburg - Landau
equations approach. Corrections to the excitation spectrum around solution of
these equations (treated perturbatively) are found. Due to symmetries of the
problem leading to numerous cancellations the range of validity of the LLL
approximation in mean field is much wider then a naive range and extends all
the way down to . Moreover the contribution of higher
Landau levels is significantly smaller compared to LLL than expected naively.
We show that like the LLL part the lattice excitation spectrum at small
quasimomenta is softer than that of usual acoustic phonons. This enhanses the
effect of fluctuations. The mean field calculation extends to third order,
while the fluctuation contribution due to HLL is to one loop. This complements
the earlier calculation of the LLL part to two loop order.Comment: 20 pages, Latex file, three figure
Hydrodynamics and Nonlocal Conductivities in Vortex States of Type II Superconductors
A hydrodynamical description for vortex states in type II superconductors is
presented based on the time-dependent Ginzburg-Landau equation (TDGL). In
contrast to the familiar extension of a single vortex dynamics based on the
force balance, our description is consistent with the known hydrodynamics of a
rotating neutral superfluid and correctly includes informations on the
Goldstone mode. Further it enables one to examine nonlocal conductivities
perpendicular to the magnetic field in terms of Kubo formula. The nonlocal
conductivities deviate from the usual vortex flow expressions typically when
the nonlocality parallel to the field becomes weaker than the perpendicular one
measuring a degree of positional correlations, and, for instance, the
superconducting contribution of dc Hall conductivity nonlocal only in
directions perpendicular to the field becomes vanishingly small in the
situations with large shear viscosity, leading to an experimentally measurable
relation among the total resistivity components.
Other situations are also discussed on the basis of the resulting expressions.Comment: 12 pages, no figures, to appear in J. Phys. Soc. Jpn. in October,
199
Relativistic diffusion of elementary particles with spin
We obtain a generalization of the relativistic diffusion of Schay and Dudley
for particles with spin. The diffusion equation is a classical version of an
equation for the Wigner function of an elementary particle. The elementary
particle is described by a unitary irreducible representation of the Poincare
group realized in the Hilbert space of wave functions in the momentum space.
The arbitrariness of the Wigner rotation appears as a gauge freedom of the
diffusion equation. The spin is described as a connection of a fiber bundle
over the momentum hyperbolic space (the mass-shell). Motion in an
electromagnetic field, transport equations and equilibrium states are
discussed.Comment: 21 pages,minor changes,the version published in Journ.Phys.
High-Dose Chemotherapy with Autologous Hematopoietic Stem-Cell Rescue for Pediatric Brain Tumor Patients: A Single Institution Experience from UCLA
Background. Dose-dependent response makes certain pediatric brain tumors appropriate targets for high-dose chemotherapy with autologous hematopoietic stem-cell rescue (HDCT-AHSCR). Methods. The clinical outcomes and toxicities were analyzed retrospectively for 18 consecutive patients ≤19 y/o treated with HDCT-AHSCR at UCLA (1999–2009). Results. Patients' median age was 2.3 years. Fourteen had primary and 4 recurrent tumors: 12 neural/embryonal (7 medulloblastomas, 4 primitive neuroectodermal tumors, and a pineoblastoma), 3 glial/mixed, and 3 germ cell tumors. Eight patients had initial gross-total and seven subtotal resections. HDCT mostly consisted of carboplatin and/or thiotepa ± etoposide (n = 16). Nine patients underwent a single AHSCR and nine ≥3 tandems. Three-year progression-free and overall survival probabilities were 60.5% ± 16 and 69.3% ± 11.5. Ten patients with pre-AHSCR complete remissions were alive/disease-free, whereas 5 of 8 with measurable disease were deceased (median followup: 2.3 yrs). Nine of 13 survivors avoided radiation. Single AHSCR regimens had greater toxicity than ≥3 AHSCR (P < .01). Conclusion. HDCT-AHSCR has a definitive, though limited role for selected pediatric brain tumors with poor prognosis and pretransplant complete/partial remissions
Helicity Modulus and Meissner Effect in a Fluctuating Type II Superconductor
The helicity modulus for a fluctuating type II superconductor is computed
within the elastic medium approximation, as a probe of superconducting phase
coherence and the Meissner effect in the mixed state. We argue that at the
vortex line lattice melting transition, there remains superconducting coherence
parallel to the applied magnetic field, provided the vortex line liquid retains
a finite shear modulus at finite wavevector.Comment: 10 pages, 0 figures, RevTex3.0, UR-93-ST0
Parquet Graph Resummation Method for Vortex Liquids
We present in detail a nonperturbative method for vortex liquid systems. This
method is based on the resummation of an infinite subset of Feynman diagrams,
the so-called parquet graphs, contributing to the four-point vertex function of
the Ginzburg-Landau model for a superconductor in a magnetic field. We derive a
set of coupled integral equations, the parquet equations, governing the
structure factor of the two-dimensional vortex liquid system with and without
random impurities and the three-dimensional system in the absence of disorder.
For the pure two-dimensional system, we simplify the parquet equations
considerably and obtain one simple equation for the structure factor. In two
dimensions, we solve the parquet equations numerically and find growing
translational order characterized by a length scale as the temperature is
lowered. The temperature dependence of is obtained in both pure and
weakly disordered cases. The effect of disorder appears as a smooth decrease of
as the strength of disorder increases.Comment: 15 pages, 12 PostScript figures, uses multicols.sty and epsf.st
Vortex Line Fluctuations in Model High Temperature Superconductors
We carry out Monte Carlo simulations of the uniformly frustrated 3d XY model
as a model for vortex line fluctuations in a high Tc superconductor. A density
of vortex lines of f=1/25 is considered. We find two sharp phase transitions.
The low T phase is an ordered vortex line lattice. The high T normal phase is a
vortex line liquid with much entangling, cutting, and loop excitations. An
intermediate phase is found which is characterized as a vortex line liquid of
disentangled lines. In this phase, the system displays superconducting
properties in the direction parallel to the magnetic field, but normal behavior
in planes perpendicular to the magnetic field.Comment: 38 pages, LaTeX 15 figures (upon request to
[email protected]
Absence of the Transition into Abrikosov Vortex State of Two-Dimensional Type-II Superconductor with Weak Pinning
The resistive properties of thin amorphous NbO_{x} films with weak pinning
were investigated experimentally above and below the second critical field
H_{c2}. As opposed to bulk type II superconductors with weak pinning where a
sharp change of resistive properties at the transition into the Abrikosov state
is observed at H_{c4}, some percent below H_{c2} (V.A.Marchenko and
A.V.Nikulov, 1981), no qualitative change of resistive properties is observed
down to a very low magnetic field, H_{c4} < 0.006 H_{c2}, in thin films with
weak pinning. The smooth dependencies of the resistivity observed in these
films can be described by paraconductivity theory both above and below H_{c2}.
This means that the fluctuation superconducting state without phase coherence
remains appreciably below H_{c2} in the two-dimensional superconductor with
weak pinning. The difference the H_{c4}/H_{c2} values, i.e. position of the
transition into the Abrikosov state, in three- and two-dimensional
superconductors conforms to the Maki-Takayama result 1971 year according to
which the Abrikosov solution 1957 year is valid only for a superconductor with
finite dimensions. Because of the fluctuation this solution obtained in the
mean field approximation is not valid in a relatively narrow region below
H_{c2} for bulk superconductors with real dimensions and much below H_{c2} for
thin films with real dimensions. The superconducting state without phase
coherence should not be identified with the mythical vortex liquid because the
vortex, as a singularity in superconducting state with phase coherence, can not
exist without phase coherence.Comment: 4 pages, 4 figure
Numerical studies of the phase diagram of layered type II superconductors in a magnetic field
We report on simulations of layered superconductors using the
Lawrence-Doniach model in the framework of the lowest Landau level
approximation. We find a first order phase transition with a dependence
which agrees very well with the experimental ``melting'' line in YBaCuO. The
transition is not associated with vortex lattice melting, but separates two
vortex liquid states characterised by different degrees of short-range
crystalline order and different length scales of correlations between vortices
in different layers. The transition line ends at a critical end-point at low
fields. We find the magnetization discontinuity and the location of the lower
critical magnetic field to be in good agreement with experiments in YBaCuO.
Length scales of order parameter correlations parallel and perpendicular to the
magnetic field increase exponentially as 1/T at low temperatures. The dominant
relaxation time scales grow roughly exponentially with these correlation
lengths. We find that the first order phase transition persists in the presence
of weak random point disorder but can be suppressed entirely by strong
disorder. No vortex glass or Bragg glass state is found in the presence of
disorder. The consistency of our numerical results with various experimental
features in YBaCuO, including the dependence on anisotropy, and the temperature
dependence of the structure factor at the Bragg peaks in neutron scattering
experiments is demonstrated.Comment: 25 pages (revtex), 19 figures included, submitted to PR
Low-Magnetic Field Critical Behavior in Strongly Type-II Superconductors
A new description is proposed for the low-field critical behavior of type-II
superconductors. The starting point is the Ginzburg-Landau theory in presence
of an external magnetic field H. A set of fictitious vortex variables and a
singular gauge transformation are used to rewrite a finite H Ginzburg-Landau
functional in terms of a complex scalar field of zero average vorticity. The
continuum limit of the transformed problem takes the form of an H = 0
Ginzburg-Landau functional for a charged field coupled to a fictitious `gauge'
potential which arises from long wavelength fluctuations in the background
liquid of field-induced vorticity. A possibility of a novel phase transition
involving zero vorticity degrees of freedom and formation of a uniform
condensate is suggested. A similarity to the superconducting [Higgs]
electrodynamics and the nematic-smectic-A transition in liquid crystals is
noted. The experimental situation is discussed.Comment: 19 pages RevTeX, one figure available by fax [email requests to
[email protected]], to appear in Physical Review B
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