345 research outputs found
Accommodation of lattice mismatch in Ge_(x)Si_(1âx)/Si superlattices
We present evidence that the critical thickness for the appearance of misfit defects in a given material and heteroepitaxial structure is not simply a function of lattice mismatch. We report substantial differences in the relaxation of mismatch stress in Ge_(0.5)Si_(0.5)/Si superlattices grown at different temperatures on (100) Si substrates. Samples have been analyzed by xâray diffraction, channeled Rutherford backscattering, and transmission electron microscopy. While a superlattice grown at 365â°C demonstrates a high degree of elastic strain, with a dislocation density <10^5 cm^(â2) , structures grown at higher temperatures show increasing numbers of structural defects, with densities reaching 2Ă10^(10) cm^(â2) at a growth temperature of 530â°C. Our results suggest that it is possible to freeze a latticeâmismatched structure in a highly strained metastable state. Thus it is not surprising that experimentally observed critical thicknesses are rarely in agreement with those predicted by equilibrium theories
High Temperature Macroscopic Entanglement
In this paper I intend to show that macroscopic entanglement is possible at
high temperatures. I analyze multipartite entanglement produced by the
pairing mechanism which features strongly in the fermionic lattice models of
high superconductivity. This problem is shown to be equivalent to
calculating multipartite entanglement in totally symmetric states of qubits. I
demonstrate that we can conclusively calculate the relative entropy of
entanglement within any subset of qubits in an overall symmetric state. Three
main results then follow. First, I show that the condition for
superconductivity, namely the existence of the off diagonal long range order
(ODLRO), is not dependent on two-site entanglement, but on just classical
correlations as the sites become more and more distant. Secondly, the
entanglement that does survive in the thermodynamical limit is the entanglement
of the total lattice and, at half filling, it scales with the log of the number
of sites. It is this entanglement that will exist at temperatures below the
superconducting critical temperature, which can currently be as high as 160
Kelvin. Thirdly, I prove that a complete mixture of symmetric states does not
contain any entanglement in the macroscopic limit. On the other hand, the same
mixture of symmetric states possesses the same two qubit entanglement features
as the pure states involved, in the sense that the mixing does not destroy
entanglement for finite number of qubits, albeit it does decrease it. Maximal
mixing of symmetric states also does not destroy ODLRO and classical
correlations. I discuss various other inequalities between different
entanglements as well as generalizations to the subsystems of any
dimensionality (i.e. higher than spin half).Comment: 14 pages, no figure
Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
The most general theory of gravity in d-dimensions which leads to second
order field equations for the metric has [(d-1)/2] free parameters. It is shown
that requiring the theory to have the maximum possible number of degrees of
freedom, fixes these parameters in terms of the gravitational and the
cosmological constants. In odd dimensions, the Lagrangian is a Chern-Simons
form for the (A)dS or Poincare groups. In even dimensions, the action has a
Born-Infeld-like form. Torsion may occur explicitly in the Lagrangian in the
parity-odd sector and the torsional pieces respect local (A)dS symmetry for
d=4k-1 only. These torsional Lagrangians are related to the Chern-Pontryagin
characters for the (A)dS group. The additional coefficients in front of these
new terms in the Lagrangian are shown to be quantized.Comment: 10 pages, two columns, no figures, title changed in journal, final
version to appear in Class. Quant. Gra
Direct solution of the hard pomeron problem for arbitrary conformal weight
A new method is applied to solve the Baxter equation for the one dimensional
system of noncompact spins. Dynamics of such an ensemble is equivalent to that
of a set of reggeized gluons exchanged in the high energy limit of QCD
amplitudes. The technique offers more insight into the old calculation of the
intercept of hard Pomeron, and provides new results in the odderon channel.Comment: Contribution to the ICHEP96 Conference, July 1996, Warsaw, Poland.
LaTeX, 4 pages, 3 epsf figures, includes modified stwol.sty file. Some
references were revise
Off-Diagonal Long-Range Order in Bose Liquids: Irrotational Flow and Quantization of Circulation
On the basis of gauge invariance, it is proven in an elementary and
straightforward manner, but without invoking any {\it ad hoc} assumption, that
the existence of off-diagonal long-range order in one-particle reduced density
matrix in Bose liquids implies both the irrotational flow in a simply connected
region and the quantization of circulation in a multiply connected region, the
two fundamental properties of a Bose superfluid. The origin for both is the
phase coherence of condensate wave-functions. Some relevant issues are also
addressed.Comment: Revtex, 4 pages, no figure
Symmetries and observables in topological gravity
After a brief review of topological gravity, we present a superspace approach
to this theory. This formulation allows us to recover in a natural manner
various known results and to gain some insight into the precise relationship
between different approaches to topological gravity. Though the main focus of
our work is on the vielbein formalism, we also discuss the metric approach and
its relationship with the former formalism.Comment: 34 pages; a few explanations added in subsection 2.2.1, published
version of pape
Trends and Challenges in Experimental Macromolecular Crystallography
Macromolecular X-ray crystallography underpins the vigorous field of structural molecular biology having yielded many protein, nucleic acid and virus structures in fine detail. The understanding of the recognition by these macromolecules, as receptors, of their cognate ligands involves the detailed study of the structural chemistry of their molecular interactions. Also these structural details underpin the rational design of novel inhibitors in modern drug discovery in the pharmaceutical industry. Moreover, from such structures the functional details can be inferred, such as the biological chemistry of enzyme reactivity. There is then a vast number and range of types of biological macromolecules that potentially could be studied. The completion of the protein primary sequencing of the yeast genome, and the human genome sequencing project comprising some 105 proteins that is underway, raises expectations for equivalent three dimensional structural database
Invariant Regularization of Anomaly-Free Chiral Theories
We present a generalization of the Frolov-Slavnov invariant regularization
scheme for chiral fermion theories in curved spacetimes. local gauge symmetries
of the theory, including local Lorentz invariance. The perturbative scheme
works for arbitrary representations which satisfy the chiral gauge anomaly and
the mixed Lorentz-gauge anomaly cancellation conditions. Anomalous theories on
the other hand manifest themselves by having divergent fermion loops which
remain unregularized by the scheme. Since the invariant scheme is promoted to
also include local Lorentz invariance, spectator fields which do not couple to
gravity cannot be, and are not, introduced. Furthermore, the scheme is truly
chiral (Weyl) in that all fields, including the regulators, are left-handed;
and only the left-handed spin connection is needed. The scheme is, therefore,
well suited for the study of the interaction of matter with all four known
forces in a completely chiral fashion. In contrast with the vectorlike
formulation, the degeneracy between the Adler-Bell-Jackiw current and the
fermion number current in the bare action is preserved by the chiral
regularization scheme.Comment: 28pgs, LaTeX. Typos corrected. Further remarks on singlet current
Standard Model Anomalies in Curved Space-Time with Torsion
Using the Fujikawa and the heat-kernel methods we make a complete and
detailed computation of the global, gauge and gravitational anomalies present
in the Standard Model defined on a curved space time with torsion. We find new
contributions coming from curvature and torsion terms to the leptonic number
anomaly (so that is not conserved any more), to the gauge and to
the mixed -gravitational anomalies, but the gauge anomaly cancellation
conditions on the hypercharges remain the same. We also find that the
condition, usually related to the cancellation of the mixed
-gravitational anomaly, can be reobtained in the context of the
Standard Model in flat space-time by requiring the cancellation of the global
Lorentz anomaly without any reference to gravitation.Comment: 44 pages, latex, no figure
Atomic-scale modeling of the deformation of nanocrystalline metals
Nanocrystalline metals, i.e. metals with grain sizes from 5 to 50 nm, display
technologically interesting properties, such as dramatically increased
hardness, increasing with decreasing grain size. Due to the small grain size,
direct atomic-scale simulations of plastic deformation of these materials are
possible, as such a polycrystalline system can be modeled with the
computational resources available today.
We present molecular dynamics simulations of nanocrystalline copper with
grain sizes up to 13 nm. Two different deformation mechanisms are active, one
is deformation through the motion of dislocations, the other is sliding in the
grain boundaries. At the grain sizes studied here the latter dominates, leading
to a softening as the grain size is reduced. This implies that there is an
``optimal'' grain size, where the hardness is maximal.
Since the grain boundaries participate actively in the deformation, it is
interesting to study the effects of introducing impurity atoms in the grain
boundaries. We study how silver atoms in the grain boundaries influence the
mechanical properties of nanocrystalline copper.Comment: 10 pages, LaTeX2e, PS figures and sty files included. To appear in
Mater. Res. Soc. Symp. Proc. vol 538 (invited paper). For related papers, see
http://www.fysik.dtu.dk/~schiotz/publist.htm
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