985 research outputs found
Superfluid density and competing orders in d-wave superconductors
We derive expressions for the superfluid density in the
low-temperature limit in d-wave superconductors, taking into account
the presence of competing orders such as spin-density waves, -pairing, etc. Recent experimental data for the thermal conductivity and
for elastic neutron scattering in LaSrCuO suggest there are
magnetic field induced anomalies that can be interpreted in terms of competing
orders. We consider the implications of these results for the superfluid
density and show in the case of competing spin-density wave order that the
usual Volovik-like depletion of is replaced by a slower
dependence on applied magnetic field. We find that it is crucial to include the
competing order parameter in the self-consistent equation for the impurity
scattering rate.Comment: 17 pages, RevTeX4, 6 EPS figures; final version published in PR
Magneto-optical and optical probes of gapped ground states of bilayer graphene
We study the influence of different kinds of gaps in a quasiparticle spectrum
on longitudinal and transverse optical conductivities of bilayer graphene. An
exact analytical expression for magneto-optical conductivity is derived using a
low-energy two-band Hamiltonian. We consider how the layer asymmetry gap caused
by a bias electric field and a time-reversal symmetry breaking gap affect the
absorption lines. The limit of zero magnetic field is then analyzed for an
arbitrary carrier density in the two-band model. For a neutral bilayer
graphene, the optical Hall and longitudinal conductivities are calculated
exactly in the four-band model with four different gaps and zero magnetic
field. It is shown that two different time-reversal symmetry breaking states
can be distinguished by analyzing the dependence of the optical Hall
conductivity on the energy of photon. These time-reversal symmetry breaking
states are expected to be observed experimentally via optical polarization
rotation either in the Faraday or Kerr effects. We analyze a possibility of
such an experiment for a free-standing graphene, graphene on a thick substrate,
and graphene on a double-layer substrate.Comment: 16 pages, 7 figures; final version published in PR
Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties
The quantum magnetic oscillations of electrical (Shubnikov de Haas effect)
and thermal conductivities are studied for graphene which represents a
distinctive example of planar systems with a linear, Dirac-like spectrum of
quasiparticle excitations. We show that if a utmost care was taken to separate
electron and phonon contributions in the thermal conductivity, the oscillations
of electron thermal conductivity, and the Lorenz number,
would be observable in the low field (less than a few Teslas) regime.Comment: 11 pages, RevTeX4, 6 EPS figures; 2 references, 1 figure and one more
section are added; final version published in PR
Phase Fluctuations and Pseudogap Properties: Influence of Nonmagnetic Impurities
The presence of nonmagnetic impurities in a 2D ``bad metal'' depresses the
superconducting Berezinskii-Kosterlitz-Thouless transition temperature, while
leaving the pairing energy scale unchanged. Thus the region of the pseudogap
non-superconducting phase, where the modulus of the order parameter is non-zero
but its phase is random, and which opens at the pairing temperature is
substantially bigger than for the clean system. This supports the premise that
fluctuations in the phase of the order parameter can in principle describe the
pseudogap phenomena in high- materials over a rather wide range of
temperatures and carrier densities. The temperature dependence of the bare
superfluid density is also discussed.Comment: 11 pages, LaTeX, 1 EPS figure; final version to appear in
Low.Temp.Phy
On the universal AC optical background in graphene
The latest experiments have confirmed the theoretically expected universal
value of the ac conductivity of graphene and have revealed
departures of the quasiparticle dynamics from predictions for the Dirac
fermions in idealized graphene. We present analytical expressions for the ac
conductivity in graphene which allow one to study how it is affected by
interactions, temperature, external magnetic field and the opening of a gap in
the quasiparticle spectrum. We show that the ac conductivity of graphene does
not necessarily give a metrologically accurate value of the von Klitzing
constant , because it is depleted by the electron-phonon interaction. In
a weak magnetic field the ac conductivity oscillates around the universal value
and the Drude peak evolves into a peak at the cyclotron frequency.Comment: 18 pages, 4 figures; v2: to match New J. Phys. (Focus on Graphene
issue
Deformation quantization of linear dissipative systems
A simple pseudo-Hamiltonian formulation is proposed for the linear
inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics,
our approach is based on the use of non-stationary Poisson brackets, i.e.
corresponding Poisson tensor is allowed to explicitly depend on time. Starting
from this pseudo-Hamiltonian formulation we develop a consistent deformation
quantization procedure involving a non-stationary star-product and an
``extended'' operator of time derivative , differentiating
the -product. As in the usual case, the -algebra of physical
observables is shown to admit an essentially unique (time dependent) trace
functional . Using these ingredients we construct a complete and
fully consistent quantum-mechanical description for any linear dynamical system
with or without dissipation. The general quantization method is exemplified by
the models of damped oscillator and radiating point charge.Comment: 14 pages, typos correcte
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