587 research outputs found
Polaron and bipolaron dispersion curves in one dimension for intermediate coupling
Bipolaron energies are calculated as a function of wave vector by a
variational method of Gurari appropriate for weak or intermediate coupling
strengths, for a model with electron-phonon interactions independent of phonon
wave vectors and a short-ranged Coulomb repulsion. It is assumed that the bare
electrons have a constant effective mass. A two-parameter trial function is
taken for the relative motion of the two electrons in the bipolaron. Energies
of bipolarons are compared with those of two single polarons as a function of
wave vector for various parameter values. Results for effective masses at the
zone center are also obtained. Comparison is made with data of other authors
for bipolarons in the Hubbard-Holstein model, which differs mainly from the
present model in that it has a tight-binding band structure for the bare
electrons.Comment: 11 pages including six figures. Physical Review B, to be publishe
Optical conductivity of polaronic charge carriers
The optical conductivity of charge carriers coupled to quantum phonons is
studied in the framework of the one-dimensional spinless Holstein model. For
one electron, variational diagonalisation yields exact results in the
thermodynamic limit, whereas at finite carrier density analytical
approximations based on previous work on single-particle spectral functions are
obtained. Particular emphasis is put on deviations from weak-coupling,
small-polaron or one-electron theories occurring at intermediate coupling
and/or finite carrier density. The analytical results are in surprisingly good
agreement with exact data, and exhibit the characteristic polaronic excitations
observed in experiments on manganites.Comment: 23 pages, 11 figure
Mobile small polaron
Extending the Froehlich polaron problem to a discrete ionic lattice we study
a polaronic state with a small radius of the wave function but a large size of
the lattice distortion. We calculate the energy dispersion and the effective
mass of the polaron with the 1/\lambda perturbation theory and with the exact
Monte Carlo method in the nonadiabatic and adiabatic regimes, respectively. The
``small'' Froehlich polaron is found to be lighter than the small Holstein
polaron by one or more orders of magnitude.Comment: 4 pages, 4 figures, published versio
Signatures of Superfluidity in Dilute Fermi Gases near a Feshbach Resonance
We present a brief account of the most salient properties of vortices in
dilute atomic Fermi superfluids near a Feshbach resonance.Comment: 6 pages, 1 figure, and jltp.cls. Several typos and a couple of
inaccuracies have been correcte
Many-body large polaron optical conductivity in SrTiNbO
Recent experimental data on the optical conductivity of niobium doped
SrTiO are interpreted in terms of a gas of large polarons with effective
coupling constant . The {theoretical approach takes into
account} many-body effects, the electron-phonon interaction with multiple
LO-phonon branches, and the degeneracy and the anisotropy of the Ti t
conduction band. {Based on the Fr\"{o}hlich interaction, the many-body
large-polaron theory} provides an interpretation for the essential
characteristics, except -- interestingly -- for the unexpectedly large
intensity of a peak at meV, of the observed optical conductivity
spectra of SrTiNbO \textit{without} any adjustment of
material parameters.Comment: to appear in Phys. Rev.
Signatures of polaronic excitations in quasi-one-dimensional LaTiO
The optical properties of quasi-one-dimensional metallic LaTiO are
studied for the polarization along the and axes. With decreasing
temperature modes appear along both directions suggestive for a phase
transition. The broadness of these modes along the conducting axis might be due
to the coupling of the phonons to low-energy electronic excitations across an
energy gap. We observe a pronounced midinfrared band with a temperature
dependence consistent with (interacting) polaron models. The polaronic picture
is corroborated by the presence of strong electron-phonon coupling and the
temperature dependence of the dc conductivity.Comment: 5 pages, 5 figure
Non-interacting Cooper pairs inside a pseudogap
I present a simple analytical model describing the normal state of a
superconductor with a pseudogap in the density of states, such as in underdoped
cuprates. In nearly two-dimensional systems, where the superconducting
transition temperature is reduced from the mean-field BCS value, Cooper pairs
may be present as slow fluctuations of the BCS pairing field. Using the
self-consistent T-matrix (fluctuation exchange) approach I find that the
fermion spectral weight exhibits two BCS-like peaks, broadened by fluctuations
of the pairing field amplitude. The density of states becomes suppressed near
the Fermi energy, which allows for long-lived low-energy Cooper pairs that
propagate as a sound-like mode with a mass. A self-consistency requirement,
linking the width of the pseudogap to the intensity of the pairing field,
determines the pair condensation temperature. In nearly two-dimensional
systems, it is proportional to the degeneracy temperature of the fermions, with
a small prefactor that vanishes in two dimensions.Comment: LaTeX (prbbib.sty included), 24 pages, 4 PostScript figures To appear
in Phys.Rev.
Variational Monte Carlo Study of Spin-Gapped Normal State and BCS-BEC Crossover in Two-Dimensional Attractive Hubbard Model
We study properties of normal, superconducting (SC) and CDW states for an
attractive Hubbard model on the square lattice, using a variational Monte Carlo
method. In trial wave functions, we introduce an interspinon binding factor,
indispensable to induce a spin-gap transition in the normal state, in addition
to the onsite attractive and intersite repulsive factors. It is found that, in
the normal state, as the interaction strength increases, a first-order
spin-gap transition arises at (: band width) from a
Fermi liquid to a spin-gapped state, which is conductive through hopping of
doublons. In the SC state, we confirm by analysis of various quantities that
the mechanism of superconductivity undergoes a smooth crossover at around
|U_{\ma{co}}|\sim |U_{\rm c}| from a BCS type to a Bose-Einstein condensation
(BEC) type, as increases. For |U|<|U_{\ma{co}}|, quantities such as
the condensation energy, a SC correlation function and the condensate fraction
of onsite pairs exhibit behavior of , as expected from the
BCS theory. For |U|>|U_{\ma{co}}|, quantities such as the energy gain in the
SC transition and superfluid stiffness, which is related to the cost of phase
coherence, behave as , as expected in a bosonic
scheme. In this regime, the SC transition is induced by a gain in kinetic
energy, in contrast with the BCS theory. We refer to the relevance to the
pseudogap in cuprate superconductors.Comment: 14 pages, 22 figures, submitted to Journal of the Physical Society of
Japa
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