37,495 research outputs found
Affinity and Fluctuations in a Mesoscopic Noria
We exhibit the invariance of cycle affinities in finite state Markov
processes under various natural probabilistic constructions, for instance under
conditioning and under a new combinatorial construction that we call ``drag and
drop''. We show that cycle affinities have a natural probabilistic meaning
related to first passage non-equilibrium fluctuation relations that we
establish.Comment: 30 pages, 1 figur
Time-dependent Kohn-Sham approach to quantum electrodynamics
We prove a generalization of the van Leeuwen theorem towards quantum
electrodynamics, providing the formal foundations of a time-dependent Kohn-Sham
construction for coupled quantized matter and electromagnetic fields. Thereby
we circumvent the symmetry-causality problems associated with the
action-functional approach to Kohn-Sham systems. We show that the effective
external four-potential and four-current of the Kohn-Sham system are uniquely
defined and that the effective four-current takes a very simple form. Further
we rederive the Runge-Gross theorem for quantum electrodynamics.Comment: 8 page
SLE-type growth processes and the Yang-Lee singularity
The recently introduced SLE growth processes are based on conformal maps from
an open and simply-connected subset of the upper half-plane to the half-plane
itself. We generalize this by considering a hierarchy of stochastic evolutions
mapping open and simply-connected subsets of smaller and smaller fractions of
the upper half-plane to these fractions themselves. The evolutions are all
driven by one-dimensional Brownian motion. Ordinary SLE appears at grade one in
the hierarchy. At grade two we find a direct correspondence to conformal field
theory through the explicit construction of a level-four null vector in a
highest-weight module of the Virasoro algebra. This conformal field theory has
central charge c=-22/5 and is associated to the Yang-Lee singularity. Our
construction may thus offer a novel description of this statistical model.Comment: 12 pages, LaTeX, v2: thorough revision with corrections, v3: version
to be publishe
Large magnetoresistance in the antiferromagnetic semi-metal NdSb
There has been considerable interest in topological semi-metals that exhibit
extreme magnetoresistance (XMR). These have included materials lacking
inversion symmetry such as TaAs, as well Dirac semi-metals such as Cd3As2.
However, it was reported recently that LaSb and LaBi also exhibit XMR, even
though the rock-salt structure of these materials has inversion symmetry, and
the band-structure calculations do not show a Dirac dispersion in the bulk.
Here, we present magnetoresistance and specific heat measurements on NdSb,
which is isostructural with LaSb. NdSb has an antiferromagnetic groundstate,
and in analogy with the lanthanum monopnictides, is expected to be a
topologically non-trivial semi-metal. We show that NdSb has an XMR of 10^4 %,
even within the AFM state, illustrating that XMR can occur independently of the
absence of time reversal symmetry breaking in zero magnetic field. The
persistence of XMR in a magnetic system offers promise of new functionality
when combining topological matter with electronic correlations. We also find
that in an applied magnetic field below the Neel temperature there is a first
order transition, consistent with evidence from previous neutron scattering
work.Comment: 5 pages, 6 figure
Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
We investigate metamagnetic transitions in models for heavy fermions by
considering the doped Kondo lattice model in two dimensions. Results are
obtained within the framework of dynamical mean field and dynamical cluster
approximations. Universal magnetization curves for different temperatures and
Kondo couplings develop upon scaling with the lattice coherence temperature.
Furthermore, the coupling of the local moments to the magnetic field is varied
to take into account the different Land\'e factors of localized and itinerant
electrons. The competition between the lattice coherence scale and the Zeeman
energy scale allows for two interpretations of the metamagnetism in heavy
fermions: Kondo breakdown or Lifshitz transitions. By tracking the
single-particle residue through the transition, we can uniquely conclude in
favor of the Lifshitz transition scenario. In this scenario, a quasiparticle
band drops below the Fermi energy which leads to a change in topology of the
Fermi surface.Comment: 8 pages, 7 figure
Effect of hydrostatic pressure on the ambient pressure superconductor CePt_3Si
We studied the evolution of superconductivity (sc) and antiferromagnetism
(afm) in the heavy fermion compound CePt_3Si with hydrostatic pressure. We
present a pressure-temperature phase diagram established by electrical
transport measurements. Pressure shifts the superconducting transition
temperature, T_c, to lower temperatures. Antiferromagnetism is suppressed at a
critical pressure P_c=0.5 GPa.Comment: 2 pages, 2 figures, proceedings SCES'0
A Classification of Non-Hermitian Random Matrices
We present a classification of non-hermitian random matrices based on
implementing commuting discrete symmetries. It contains 38 classes. This
generalizes the classification of hermitian random matrices due to
Altland-Zirnbauer and it also extends the Ginibre ensembles of non-hermitian
matrices.Comment: 8 pages, contribution to the proceedings of the NATO Advanced
Research Workshop on Statistical Field Theories, Como (Italy), 18-23 June
2001. Compared to our 2001 version, we corrected two misprints in one table
that in the previous version led us to miscount the number of classes as 43
whereas it should have been 38. Explicit details of the classification are
unchange
Momentum distributions in time-dependent density functional theory: Product phase approximation for non-sequential double ionization in strong laser fields
We investigate the possibility to deduce momentum space properties from
time-dependent density functional calculations. Electron and ion momentum
distributions after double ionization of a model Helium atom in a strong
few-cycle laser pulse are studied. We show that, in this case, the choice of
suitable functionals for the observables is considerably more important than
the choice of the correlation potential in the time-dependent Kohn-Sham
equations. By comparison with the solution of the time-dependent Schroedinger
equation, the insufficiency of functionals neglecting electron correlation is
demonstrated. We construct a functional of the Kohn-Sham orbitals, which in
principle yields the exact momentum distributions of the electrons and the ion.
The product-phase approximation is introduced, which reduces the problem of
approximating this functional significantly.Comment: 8 pages, 5 figures, RevTeX
A laser technique for characterizing the geometry of plant canopies
The interception of solar power by the canopy is investigated as a function of solar zenith angle (time), component of the canopy, and depth into the canopy. The projected foliage area, cumulative leaf area, and view factors within the canopy are examined as a function of the same parameters. Two systems are proposed that are capable of describing the geometrical aspects of a vegetative canopy and of operation in an automatic mode. Either system would provide sufficient data to yield a numerical map of the foliage area in the canopy. Both systems would involve the collection of large data sets in a short time period using minimal manpower
Phase Transitions in a Two-Component Site-Bond Percolation Model
A method to treat a N-component percolation model as effective one component
model is presented by introducing a scaled control variable . In Monte
Carlo simulations on , , and simple cubic
lattices the percolation threshold in terms of is determined for N=2.
Phase transitions are reported in two limits for the bond existence
probabilities and . In the same limits, empirical formulas
for the percolation threshold as function of one
component-concentration, , are proposed. In the limit a new
site percolation threshold, , is reported.Comment: RevTeX, 5 pages, 5 eps-figure
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