572 research outputs found
Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
We have analyzed a single vortex at T=0 in a 3D superfluid atomic Fermi gas
across a Feshbach resonance. On the BCS side, the order parameter varies on two
scales: and the coherence length , while only variation on
the scale of is seen away from the BCS limit. The circulating current has
a peak value which is a non-monotonic function of
implying a maximum critical velocity at unitarity. The number of
fermionic bound states in the core decreases as we move from the BCS to BEC
regime. Remarkably, a bound state branch persists even on the BEC side
reflecting the composite nature of bosonic molecules.Comment: 4 Pages, 4 Figure
BCS-BEC crossover on the two-dimensional honeycomb lattice
The attractive Hubbard model on the honeycomb lattice exhibits, at
half-filling, a quantum critical point (QCP) between a semimetal with massless
Dirac fermions and an s-wave superconductor (SC). We study the BCS-BEC
crossover in this model away from half-filling at zero temperature and show
that the appropriately defined crossover line (in the interaction-density
plane) passes through the QCP at half-filling. For a range of densities around
half-filling, the ``underlying Fermi surface'' of the SC, defined as the
momentum space locus of minimum energy quasiparticle excitations, encloses an
area which evolves nonmonotonically with interactions. We also study
fluctuations in the SC and the semimetal, and show the emergence of an undamped
Leggett mode deep in the SC. We consider possible implications for experiments
on ultracold atoms and high temperature SCs.Comment: Revised - added section on the Fermi surface evolution, corrected
error in superfluid density, added possible implications for cuprate
Electron Self-Energy of High Temperature Superconductors as Revealed by Angle Resolved Photoemission
In this paper, we review some of the work our group has done in the past few
years to obtain the electron self-energy of high temperature superconductors by
analysis of angle-resolved photoemission data. We focus on three examples which
have revealed: (1) a d-wave superconducting gap, (2) a collective mode in the
superconducting state, and (3) pairing correlations in the pseudogap phase. In
each case, although a novel result is obtained which captures the essense of
the data, the conventional physics used leads to an incomplete picture. This
indicates that new physics needs to be developed to obtain a proper
understanding of these materials.Comment: 5 pages, revtex, 3 encapsulated postscript figures, SNS97 proceeding
Shear viscosity and damping for a Fermi gas in the unitarity limit
The shear viscosity of a two-component Fermi gas in the normal phase is
calculated as a function of temperature in the unitarity limit, taking into
account strong-coupling effects that give rise to a pseudogap in the spectral
density for single-particle excitations. The results indicate that recent
measurements of the damping of collective modes in trapped atomic clouds can be
understood in terms of hydrodynamics, with a decay rate given by the viscosity
integrated over an effective volume of the cloud.Comment: 7 pages, 3 figures. Discussion significantly extended. Appendix
added. To appear in PR
Photoelectron Escape Depth and Inelastic Secondaries in High Temperature Superconductors
We calculate the photoelectron escape depth in the high temperature
superconductor Bi2212 by use of electron energy-loss spectroscopy data. We find
that the escape depth is only 3 Ang. for photon energies typically used in
angle resolved photoemission measurements. We then use this to estimate the
number of inelastic secondaries, and find this to be quite small near the Fermi
energy. This implies that the large background seen near the Fermi energy in
photoemission measurements is of some other origin.Comment: 2 pages, revtex, 3 encapsulated postscript figure
Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling
We study the short-range correlation strength of three dimensional spin half
dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction
is modeled by the contact pseudopotential. In the high temperature limit, we
derive the expression for the second order virial expansion of the
thermodynamic potential via the ladder diagrams. We further evaluate the second
order virial expansion in the limit that the spin-orbit coupling constants are
small, and find that the correlation strength between the fermions increases as
the forth power of the spin-orbit coupling constants. At zero temperature, we
consider the cases in which there are symmetric spin-orbit couplings in two or
three directions. In such cases, there is always a two-body bound state of zero
net momentum. In the limit that the average interparticle distance is much
larger than the dimension of the two-body bound state, the system primarily
consists of condensed bosonic molecules that fermions pair to form; we find
that the correlation strength also becomes bigger compared to that in the
absence of spin-orbit coupling. Our results indicate that generic spin-orbit
coupling enhances the short-range correlations of the Fermi gases. Measurement
of such enhancement by photoassociation experiment is also discussed.Comment: 7 pages, 4 figure
High Tc Superconductors -- A Variational Theory of the Superconducting State
We use a variational approach to gain insight into the strongly correlated
d-wave superconducting state of the high Tc cuprates at T=0. We show that
strong correlations lead to qualitatively different trends in pairing and phase
coherence: the pairing scale decreases monotonically with hole doping while the
SC order parameter shows a non-monotonic dome. We obtain detailed results for
the doping-dependence of a large number of experimentally observable
quantities, including the chemical potential, coherence length, momentum
distribution, nodal quasiparticle weight and dispersion, incoherent features in
photoemission spectra, optical spectral weight and superfluid density. Most of
our results are in remarkable quantitative agreement with existing data and
some of our predictions, first reported in Phys. Rev. Lett. {\bf 87}, 217002
(2001), have been recently verified.Comment: (Minor revisions, 1 figure added, version to appear in PRB) 23 RevTeX
pages, 11 eps figs, long version of cond-mat/0101121, contains detailed
comparisons with experiments, analytical insights, technical aspects of the
calculation, and comparison with slave boson MF
Collective oscillations of a trapped Fermi gas near a Feshbach resonance
The frequencies of the collective oscillations of a harmonically trapped
Fermi gas interacting with large scattering lengths are calculated at zero
temperature using hydrodynamic theory. Different regimes are considered,
including the molecular Bose-Einstein condensate and the unitarity limit for
collisions. We show that the frequency of the radial compressional mode in an
elongated trap exhibits a pronounced non monotonous dependence on the
scattering length, reflecting the role of the interactions in the equation of
state.Comment: 3 pages, including 1 figur
Collective modes of trapped gases at the BEC-BCS crossover
The collective mode frequencies in isotropic and deformed traps are
calculated for general polytropic equation of states, ,
and expressed in terms of and the trap geometry. For molecular and
standard Bose-Einstein condensates and Fermi gases near Feshbach resonances,
the effective power is calculated from Jastrow type
wave-function ans\"atze, and from the crossover model of Leggett. The resulting
mode frequencies are calculated for these phases around the BCS-BEC crossover.Comment: Revised version to be published in PR
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