20 research outputs found
-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
An effective Proca Lagrangian action is used to address the vector
condensation Lorentz violation effects on the equation of state of the strongly
interacting fermions system. The interior quantum fluctuation effects are
incorporated as an external field approximation indirectly through a fictive
generalized Thomson Problem counterterm background. The general analytical
formulas for the -dimensions thermodynamics are given near the unitary limit
region. In the non-relativistic limit for , the universal dimensionless
coefficient and energy gap are
reasonably consistent with the existed theoretical and experimental results. In
the unitary limit for and T=0, the universal coefficient can even
approach the extreme occasion corresponding to the infinite effective
fermion mass which can be mapped to the strongly coupled
two-dimensions electrons and is quite similar to the three-dimensions
Bose-Einstein Condensation of ideal boson gas. Instead, for , the
universal coefficient is negative, implying the non-existence of phase
transition from superfluidity to normal state. The solutions manifest the
quantum Ising universal class characteristic of the strongly coupled unitary
fermions gas.Comment: Improved versio
Self-consistent scattering description of transport in normal-superconductor structures
We present a scattering description of transport in several
normal-superconductor structures. We show that the related requirements of
self-consistency and current conservation introduce qualitative changes in the
transport behavior when the current in the superconductor is not negligible.
The energy thresholds for quasiparticle propagation in the superconductor are
sensitive to the existence of condensate flow (). This dependence is
responsible for a rich variety of transport regimes, including a voltage range
in which only Andreev transmission is possible at the interfaces, and a state
of gapless superconductivity which may survive up to high voltages if
temperature is low. The two main effects of current conservation are a shift
towards lower voltages of the first peak in the differential conductance and an
enhancement of current caused by the greater availability of charge
transmitting scattering channels.Comment: 31 pages, 10 PS figures, Latex file, psfig.sty file is added. To
appear in Phys. Rev. B (Jan 97
Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
In this work, we derive a coarse-grained finite-temperature theory for a Bose
condensate in a one-dimensional optical lattice, in addition to a confining
harmonic trap potential. We start from a two-particle irreducible (2PI)
effective action on the Schwinger-Keldysh closed-time contour path. In
principle, this action involves all information of equilibrium and
non-equilibrium properties of the condensate and noncondensate atoms. By
assuming an ansatz for the variational function, i.e., the condensate order
parameter in an effective action, we derive a coarse-grained effective action,
which describes the dynamics on the length scale much longer than a lattice
constant. Using the variational principle, coarse-grained equations of motion
for the condensate variables are obtained. These equations include a
dissipative term due to collisions between condensate and noncondensate atoms,
as well as noncondensate mean-field. To illustrate the usefulness of our
formalism, we discuss a Landau instability of the condensate in optical
lattices by using the coarse-grained generalized Gross-Pitaevskii
hydrodynamics. We found that the collisional damping rate due to collisions
between the condensate and noncondensate atoms changes sign when the condensate
velocity exceeds a renormalized sound velocity, leading to a Landau instability
consistent with the Landau criterion. Our results in this work give an insight
into the microscopic origin of the Landau instability.Comment: 38 pages, 2 figures. Submitted to Journal of Low Temperature Physic