175 research outputs found
BCS-BEC crossover at finite temperature in the broken-symmetry phase
The BCS-BEC crossover is studied in a systematic way in the broken-symmetry
phase between zero temperature and the critical temperature. This study bridges
two regimes where quantum and thermal fluctuations are, respectively,
important. The theory is implemented on physical grounds, by adopting a
fermionic self-energy in the broken-symmetry phase that represents fermions
coupled to superconducting fluctuations in weak coupling and to bosons
described by the Bogoliubov theory in strong coupling. This extension of the
theory beyond mean field proves important at finite temperature, to connect
with the results in the normal phase. The order parameter, the chemical
potential, and the single-particle spectral function are calculated numerically
for a wide range of coupling and temperature. This enables us to assess the
quantitative importance of superconducting fluctuations in the broken-symmetry
phase over the whole BCS-BEC crossover. Our results are relevant to the
possible realizations of this crossover with high-temperature cuprate
superconductors and with ultracold fermionic atoms in a trap.Comment: 21 pages, 15 figure
Conserving and gapless approximations for the composite bosons in terms of the constituent fermions
A long-standing problem with the many-body approximations for interacting
condensed bosons has been the dichotomy between the ``conserving'' and
``gapless'' approximations, which either obey the conservations laws or satisfy
the Hugenholtz-Pines condition for a gapless excitation spectrum, in the order.
It is here shown that such a dichotomy does not exist for a system of composite
bosons, which form as bound-fermion pairs in the strong-coupling limit of the
fermionic attraction. By starting from the constituent fermions, for which
conserving approximations can be constructed for any value of the mutual
attraction according to the Baym-Kadanoff prescriptions, it is shown that these
approximations also result in a gapless excitation spectrum for the boson-like
propagators in the broken-symmetry phase. This holds provided the corresponding
equations for the fermionic single- and two-particle Green's functions are
solved self-consistently.Comment: 4 pages, 1 figur
Competition between final-state and pairing-gap effects in the radio-frequency spectra of ultracold Fermi atoms
The radio-frequency spectra of ultracold Fermi atoms are calculated by
including final-state interactions affecting the excited level of the
transition, and compared with the experimental data. A competition is revealed
between pairing-gap effects which tend to push the oscillator strength toward
high frequencies away from threshold, and final-state effects which tend
instead to pull the oscillator strength toward threshold. As a result of this
competition, the position of the peak of the spectra cannot be simply related
to the value of the pairing gap, whose extraction thus requires support from
theoretical calculations.Comment: 4 pages, 3 figures, final version published in Phys. Rev. Let
Magnetic Field Effect on the Pseudogap Temperature within Precursor Superconductivity
We determine the magnetic field dependence of the pseudogap closing
temperature T* within a precursor superconductivity scenario. Detailed
calculations with an anisotropic attractive Hubbard model account for a
recently determined experimental relation in BSCCO between the pseudogap
closing field and the pseudogap temperature at zero field, as well as for the
weak initial dependence of T* at low fields. Our results indicate that the
available experimental data are fully compatible with a superconducting origin
of the pseudogap in cuprate superconductors.Comment: 4 pages, 3 figure
Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance
A detailed description is given of the phase diagram for a two-component
unitary Fermi gas with mass and population imbalance, for both homogeneous and
trapped systems. This aims at providing quantitative benchmarks for the
normal-to-superfluid phase transition of a mass-imbalanced Fermi gas in the
temperature-polarization parameter space. A self-consistent t-matrix approach
is adopted, which has already proven to accurately describe the thermodynamic
properties of the mass and population balanced unitary Fermi gas. Our results
provide a guideline for the ongoing experiments on heteronuclear Fermi
mixtures.Comment: 10 pages, 10 figures, final versio
Range-separated density-functional theory with random phase approximation: detailed formalism and illustrative applications
Using Green-function many-body theory, we present the details of a formally
exact adiabatic-connection fluctuation-dissipation density-functional theory
based on range separation, which was sketched in Toulouse, Gerber, Jansen,
Savin and Angyan, Phys. Rev. Lett. 102, 096404 (2009). Range-separated
density-functional theory approaches combining short-range density functional
approximations with long-range random phase approximations (RPA) are then
obtained as well-identified approximations on the long-range Green-function
self-energy. Range-separated RPA-type schemes with or without long-range
Hartree-Fock exchange response kernel are assessed on rare-gas and
alkaline-earth dimers, and compared to range-separated second-order
perturbation theory and range-separated coupled-cluster theory.Comment: 15 pages, 3 figures, 2 table
Quantitative comparison between theoretical predictions and experimental results for the BCS-BEC crossover
Theoretical predictions for the BCS-BEC crossover of trapped Fermi atoms are
compared with recent experimental results for the density profiles of Li.
The calculations rest on a single theoretical approach that includes pairing
fluctuations beyond mean field. Excellent agreement with experimental results
is obtained. Theoretical predictions for the zero-temperature chemical
potential and gap at the unitarity limit are also found to compare extremely
well with Quantum Monte Carlo simulations and with recent experimental results.Comment: 4 pages, 3 eps figure
Elimination of unoccupied state summations in it ab initio self-energy calculations for large supercells
We present a new method for the computation of self-energy corrections in large supercells. It eliminates the explicit summation over unoccupied states, and uses an iterative scheme based on an expansion of the Green's function around a set of reference energies. This improves the scaling of the computational time from the fourth to the third power of the number of atoms for both the inverse dielectric matrix and the self-energy, yielding improved efficiency for 8 or more silicon atoms per unit cell
Popov approximation for composite bosons in the BCS-BEC crossover
Theoretical treatments of the BCS-BEC crossover need to provide as accurate
as possible descriptions of the two regimes where the diluteness condition
applies, either in terms of the constituent fermions (BCS limit) or of the
composite bosons which form as bound-fermion pairs (BEC limit). This has to
occur via a single fermionic theory that bridges across these two limiting
representations. In this paper, we set up successive improvements of the
fermionic theory, that result into composite bosons described at the level of
either the Bogoliubov or the Popov approximations for point-like bosons. This
work bears on the recent experimental advances on the BCS-BEC crossover with
trapped Fermi atoms, which show the need for accurate theoretical descriptions
of BEC side of the crossover.Comment: 13 pages, 4 figure
Optical excitations in organic molecules, clusters and defects studied by first-principles Green's function methods
Spectroscopic and optical properties of nanosystems and point defects are
discussed within the framework of Green's function methods. We use an approach
based on evaluating the self-energy in the so-called GW approximation and
solving the Bethe-Salpeter equation in the space of single-particle
transitions. Plasmon-pole models or numerical energy integration, which have
been used in most of the previous GW calculations, are not used. Fourier
transforms of the dielectric function are also avoided. This approach is
applied to benzene, naphthalene, passivated silicon clusters (containing more
than one hundred atoms), and the F center in LiCl. In the latter, excitonic
effects and the defect line are identified in the energy-resolved
dielectric function. We also compare optical spectra obtained by solving the
Bethe-Salpeter equation and by using time-dependent density functional theory
in the local, adiabatic approximation. From this comparison, we conclude that
both methods give similar predictions for optical excitations in benzene and
naphthalene, but they differ in the spectra of small silicon clusters. As
cluster size increases, both methods predict very low cross section for
photoabsorption in the optical and near ultra-violet ranges. For the larger
clusters, the computed cross section shows a slow increase as function of
photon frequency. Ionization potentials and electron affinities of molecules
and clusters are also calculated.Comment: 9 figures, 5 tables, to appear in Phys. Rev. B, 200
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