6,317 research outputs found
Critical charge instability on verge of the Mott transition and the origin of quantum protection in high- cuprates
The concept of topological excitations and the related ground state
degeneracy are employed to establish an effective theory of the superconducting
state evolving from the Mott insulator for high-Tc cuprates. Casting the
Coulomb interaction in terms of composite-fermions via the gauge flux
attachment facility, we show that instanton events in the Matsubara "imaginary
time," labeled by topological winding numbers, are essential configurations of
the phase field dual to the charge. In analogy to the usual phase transition
that is characterized by a sudden change of the symmetry, the topological phase
transitions are governed by a discontinuous change of the topological numbers
signaled by the divergence of the zero-temperature topological susceptibility.
This defines a quantum criticality ruled by topologically conserved numbers
rather than the Landau principle of the symmetry breaking. We show that in the
limit of strong correlations topological charge is linked to the average
electronic filling number and the topological susceptibility to the electronic
compressibility of the system. We exploit the impact of these nontrivial U(1)
instanton phase field configurations for the cuprate phase diagram which
displays the "hidden" quantum critical point covered by the superconducting
lobe in addition to a sharp crossover between a compressible normal "strange
metal" state and a region characterized by a vanishing compressibility, which
marks the Mott insulator. Finally, we argue that the existence of robust
quantum numbers explains the stability against small perturbation of the system
and attributes to the topological "quantum protectorate" as observed in
strongly correlated systems.Comment: 23 pages, 12 figure
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Beyond the Refugee Crisis how the UK news media represent asylum seekers across national boundaries
Migration is one of the most pressing, divisive issues in global politics today, and media play a crucial role in how communities understand and respond. This study examines how UK newspapers (n = 974) and popular news websites (n = 1044) reported on asylum seekers throughout 2017. It contributes to previous literature in two important ways. First, by examining the ‘new normal’ of daily news coverage in the wake of the 2015 ‘refugee crisis’ in Europe. Second, by looking at how asylum seekers from different regions are represented. The content analysis finds significant variations in how asylum seekers are reported, including terminology use and topics they are associated with. The paper also identifies important commonalities in how all asylum seekers are represented - most notably, the dominance of political elites as sources across all media content. It argues that Entman’s ‘cascade network model’ can help to explain this, with elites in one country able to influence transnational reports
Orbital Magnetism in Ensembles of Parabolic Potentials
We study the magnetic susceptibility of an ensemble of non-interacting
electrons confined by parabolic potentials and subjected to a perpendicular
magnetic field at finite temperatures. We show that the behavior of the average
susceptibility is qualitatively different from that of billiards. When averaged
over the Fermi energy the susceptibility exhibits a large paramagnetic response
only at certain special field values, corresponding to comensurate classical
frequencies, being negligible elsewhere. We derive approximate analytical
formulae for the susceptibility and compare the results with numerical
calculations.Comment: 4 pages, 4 figures, REVTE
Quantization of Superflow Circulation and Magnetic Flux with a Tunable Offset
Quantization of superflow-circulation and of magnetic-flux are considered for
systems, such as superfluid He-A and unconventional superconductors, having
nonscalar order parameters. The circulation is shown to be the anholonomy in
the parallel transport of the order parameter. For multiply-connected samples
free of distributed vorticity, circulation and flux are predicted to be
quantized, but generically to nonintegral values that are tunably offset from
integers. This amounts to a version of Aharonov-Bohm physics. Experimental
settings for testing these issues are discussed.Comment: 5 two-column pages, ReVTeX, figure available upon request (to
[email protected]
Bcc He as a Coherent Quantum Solid
In this work we investigate implications of the quantum nature of bcc %
He. We show that it is a unique solid phase with both a lattice structure and
an Off-Diagonal Long Range Order of coherently oscillating local electric
dipole moments. These dipoles arise from the local motion of the atoms in the
crystal potential well, and oscillate in synchrony to reduce the dipolar
interaction energy. The dipolar ground-state is therefore found to be a
coherent state with a well defined global phase and a three-component complex
order parameter. The condensation energy of the dipoles in the bcc phase
stabilizes it over the hcp phase at finite temperatures. We further show that
there can be fermionic excitations of this ground-state and predict that they
form an optical-like branch in the (110) direction. A comparison with
'super-solid' models is also discussed.Comment: 12 pages, 8 figure
Energy level statistics of the two-dimensional Hubbard model at low filling
The energy level statistics of the Hubbard model for square
lattices (L=3,4,5,6) at low filling (four electrons) is studied numerically for
a wide range of the coupling strength. All known symmetries of the model
(space, spin and pseudospin symmetry) have been taken into account explicitly
from the beginning of the calculation by projecting into symmetry invariant
subspaces. The details of this group theoretical treatment are presented with
special attention to the nongeneric case of L=4, where a particular complicated
space group appears. For all the lattices studied, a significant amount of
levels within each symmetry invariant subspaces remains degenerated, but except
for L=4 the ground state is nondegenerate. We explain the remaining
degeneracies, which occur only for very specific interaction independent
states, and we disregard these states in the statistical spectral analysis. The
intricate structure of the Hubbard spectra necessitates a careful unfolding
procedure, which is thoroughly discussed. Finally, we present our results for
the level spacing distribution, the number variance , and the
spectral rigidity , which essentially all are close to the
corresponding statistics for random matrices of the Gaussian ensemble
independent of the lattice size and the coupling strength. Even very small
coupling strengths approaching the integrable zero coupling limit lead to the
Gaussian ensemble statistics stressing the nonperturbative nature of the
Hubbard model.Comment: 31 pages (1 Revtex file and 10 postscript figures
Weak localization in disordered systems at the ballistic limit
The weak localization (WL) contribution to the two-level correlation function
is calculated for two-dimensional disordered conductors. Our analysis extends
to the nondiffusive (ballistic) regime, where the elastic mean path is of order
of the size of the system. In this regime the structure factor (the Fourier
transform of the two-point correlator) exhibits a singular behavior consisting
of dips superimposed on a smooth positive background. The strongest dips appear
at periods of the periodic orbits of the underlying clean system. Somewhat
weaker singularities appear at times which are sums of periods of two such
orbits. The results elucidate various aspects of the weak localization physics
of ballistic chaotic systems.Comment: 13 pages, 13 figure
Investigation of the double ramp in hypersonic flow using luminescent measurement systems
Compression ramp flows in supersonic and hypersonic environments present unique flow patterns for shock wave-boundary layer interaction studies. They also represent the generic geometry of two-dimensional inlets and deflected control surfaces for re-entry vehicles. Therefore, a detailed knowledge of the flow behaviour created by such geometries is critical for optimum design. The flow is made more complicated due to the presence of separation regions and streamwise Görtler vortices. The objective of the current research is to study the behaviour and characteristics of the flow over the double ramp model placed in hypersonic flow at freestream Mach number of 5. Three different incidence angles of 0°, −2°, and −4° are studied using colour Schlieren and luminescent paints consisting of anodized aluminium pressure-sensitive paint (AA-PSP) and the temperature-sensitive paint (TSP) technique. The colour Schlieren provides description of the external flow while the global surface pressure and temperature distribution is obtained through the AA-PSP and TSP methods. The TSP technique also proves that it is very effective in identifying the location and properties of the Görtler vortices; revealing the effect of incidence on the magnitude and pattern of Görtler vortices formed
Quantum Chaos of a particle in a square well : Competing Length Scales and Dynamical Localization
The classical and quantum dynamics of a particle trapped in a one-dimensional
infinite square well with a time periodic pulsed field is investigated. This is
a two-parameter non-KAM generalization of the kicked rotor, which can be seen
as the standard map of particles subjected to both smooth and hard potentials.
The virtue of the generalization lies in the introduction of an extra parameter
R which is the ratio of two length scales, namely the well width and the field
wavelength. If R is a non-integer the dynamics is discontinuous and non-KAM. We
have explored the role of R in controlling the localization properties of the
eigenstates. In particular the connection between classical diffusion and
localization is found to generalize reasonably well. In unbounded chaotic
systems such as these, while the nearest neighbour spacing distribution of the
eigenvalues is less sensitive to the nature of the classical dynamics, the
distribution of participation ratios of the eigenstates proves to be a
sensitive measure; in the chaotic regimes the latter being lognormal. We find
that the tails of the well converged localized states are exponentially
localized despite the discontinuous dynamics while the bulk part shows
fluctuations that tend to be closer to Random Matrix Theory predictions. Time
evolving states show considerable R dependence and tuning R to enhance
classical diffusion can lead to significantly larger quantum diffusion for the
same field strengths, an effect that is potentially observable in present day
experiments.Comment: 29 pages (including 14 figures). Better quality of Figs. 1,3 & 9 can
be obtained from author
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