31 research outputs found
Quantum phases in mixtures of fermionic atoms
A mixture of spin-polarized light and heavy fermionic atoms on a finite size
2D optical lattice is considered at various temperatures and values of the
coupling between the two atomic species. In the case, where the heavy atoms are
immobile in comparison to the light atoms, this system can be seen as a
correlated binary alloy related to the Falicov-Kimball model. The heavy atoms
represent a scattering environment for the light atoms. The distributions of
the binary alloy are discussed in terms of strong- and weak-coupling
expansions. We further present numerical results for the intermediate
interaction regime and for the density of states of the light particles. The
numerical approach is based on a combination of a Monte-Carlo simulation and an
exact diagonalization method. We find that the scattering by the correlated
heavy atoms can open a gap in the spectrum of the light atoms, either for
strong interaction or small temperatures.Comment: 15 pages, 8 figure
Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice
Thermodynamic properties of the spinless Falicov-Kimball model are studied on
a triangular lattice using numerical diagonalization technique with Monte-Carlo
simulation algorithm. Discontinuous metal-insulator transition is observed at
finite temperature. Unlike the case of square lattice, here we observe that the
finite temperature effect is not able to smear out the discontinuous
metal-insulator transition seen in the ground state. Calculation of specific
heat (C_v) shows single and double peak structures for different values of
parameters like on-site correlation strength (U), f-electron energy (E_f) and
temperature.Comment: 6 pages, 7 figure
Charge-transfer metal-insulator transitions in the spin-one-half Falicov-Kimball model
The spin-one-half Falicov-Kimball model is solved exactly on an
infinite-coordination-number Bethe lattice in the thermodynamic limit. This
model is a paradigm for a charge-transfer metal-insulator transition where the
occupancy of localized and delocalized electronic orbitals rapidly changes at
the metal-insulator transition (rather than the character of the electronic
states changing from insulating to metallic as in a Mott-Hubbard transition).
The exact solution displays both continuous and discontinuous (first-order)
transitions.Comment: 22 pages including 4 figures(eps), RevTe
Electronic dynamic Hubbard model: exact diagonalization study
A model to describe electronic correlations in energy bands is considered.
The model is a generalization of the conventional Hubbard model that allows for
the fact that the wavefunction for two electrons occupying the same Wannier
orbital is different from the product of single electron wavefunctions. We
diagonalize the Hamiltonian exactly on a four-site cluster and study its
properties as function of band filling. The quasiparticle weight is found to
decrease and the quasiparticle effective mass to increase as the electronic
band filling increases, and spectral weight in one- and two-particle spectral
functions is transfered from low to high frequencies as the band filling
increases. Quasiparticles at the Fermi energy are found to be more 'dressed'
when the Fermi level is in the upper half of the band (hole carriers) than when
it is in the lower half of the band (electron carriers). The effective
interaction between carriers is found to be strongly dependent on band filling
becoming less repulsive as the band filling increases, and attractive near the
top of the band in certain parameter ranges. The effective interaction is most
attractive when the single hole carriers are most heavily dressed, and in the
parameter regime where the effective interaction is attractive, hole carriers
are found to 'undress', hence become more like electrons, when they pair. It is
proposed that these are generic properties of electronic energy bands in solids
that reflect a fundamental electron-hole asymmetry of condensed matter. The
relation of these results to the understanding of superconductivity in solids
is discussed.Comment: Small changes following referee's comment
Weak-coupling Treatment of Electronic (Anti-)Ferroelectricity in the Extended Falicov-Kimball Model
We study the (spinless) Falicov-Kimball model extended by a finite band width
(hopping ) of the localized (f-) electrons in infinite dimensions in the
weak-coupling limit of a small local interband Coulomb correlation for half
filling. In the case of overlapping conduction- and f-bands different kinds of
ordered solutions are possible, namely charge-density wave (CDW) order,
electronic ferroelectricity (EFE) and electronic antiferroelectricity (EAFE).
The order parameters are calculated as a function of the model parameters and
of the temperature. There is a first-order phase transition from the CDW-phase
to the EFE- or EAFE-phase. The total energy is calculated to determine the
thermodynamically stable solution. The quantum phase diagrams are calculated.Comment: 7 pages, 8 figure