23 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
Bipolaron Binding in Quantum Wires
A theory of bipolaron states in quantum wires with a parabolic potential well
is developed applying the Feynman variational principle. The basic parameters
of the bipolaron ground state (the binding energy, the number of phonons in the
bipolaron cloud, the effective mass, and the bipolaron radius) are studied as a
function of sizes of the potential well. Two cases are considered in detail: a
cylindrical quantum wire and a planar quantum wire. Analytical expressions for
the bipolaron parameters are obtained at large and small sizes of the quantum
well. It is shown that at [where means the radius (halfwidth) of a
cylindrical (planar) quantum wire, expressed in Feynman units], the influence
of confinement on the bipolaron binding energy is described by the function
for both cases, while at small sizes this influence is different
in each case. In quantum wires, the bipolaron binding energy increases
logarithmically with decreasing radius. The shapes and the sizes of a
nanostructure, which are favorable for observation of stable bipolaron states,
are determined.Comment: 17 pages, 6 figures, E-mail addresses: [email protected];
[email protected]
Froehlich Polaron and Bipolaron: Recent Developments
It is remarkable how the Froehlich polaron, one of the simplest examples of a
Quantum Field Theoretical problem, as it basically consists of a single fermion
interacting with a scalar Bose field of ion displacements, has resisted full
analytical or numerical solution at all coupling since 1950, when its
Hamiltonian was first written. The field has been a testing ground for
analytical, semi-analytical, and numerical techniques, such as path integrals,
strong-coupling perturbation expansion, advanced variational, exact
diagonalisation (ED), and quantum Monte Carlo (QMC) techniques. This article
reviews recent developments in the field of continuum and discrete (lattice)
Froehlich (bi)polarons starting with the basics and covering a number of active
directions of research.Comment: 131 pages, 17 figures, 409 references, appear in Reports on Progress
in Physic
Ammoniated electron as a solvent stabilized multimer radical anion
The excess electron in liquid ammonia ("ammoniated electron") is commonly
viewed as a cavity electron in which the s-type wave function fills the
interstitial void between 6-9 ammonia molecules. Here we examine an alternative
model in which the ammoniated electron is regarded as a solvent stabilized
multimer radical anion, as was originally suggested by Symons [Chem. Soc. Rev.
1976, 5, 337]. In this model, most of the excess electron density resides in
the frontier orbitals of N atoms in the ammonia molecules forming the solvation
cavity; a fraction of this spin density is transferred to the molecules in the
second solvation shell. The cavity is formed due to the repulsion between
negatively charged solvent molecules. Using density functional theory
calculations for small ammonia cluster anions in the gas phase, it is
demonstrated that such core anions would semi-quantitatively account for the
observed pattern of Knight shifts for 1-H and 14-N nuclei observed by NMR
spectroscopy and the downshifted stretching and bending modes observed by
infrared spectroscopy. It is speculated that the excess electrons in other
aprotic solvents (but not in water and alcohols) might be, in this respect,
analogous to the ammoniated electron, with substantial transfer of the spin
density into the frontier N and C orbitals of methyl, amino, and amide groups
forming the solvation cavity.Comment: 34 pages, 12 figures; to be submitted to J Phys Chem
Interaction of the continual polarons and the bipolaron formation under action of intense laser field
It is established, that action of intense laser field results in occurrence of two equivalent positions of a large polaron localization. This paper analyzes the tunneling oscillations of polarons about its equilibrium positions and the interaction between polarons in quasi two-dimensional dielectric layers. It is shown that oscillations of polarons in intense laser field lead to effective interpolaron attraction in coordinate space. This effect promotes Bose-Einstein condensation of bipolarons and to emerge of high-temperature superconductivity. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011
Formation of polaron clusters
The formation of spherical polaron clusters is studied within the Fröhlich polaron theory. In a dilute polaron gas, using the non-local statistical approach and the polaron pair interaction obtained within the Pekar strong coupling theory, the homogeneous phase results to be unstable toward the appearance of polaron clusters. The physical conditions of formation for the clusters are determined calculating the critical values of electron-phonon interaction for which bound states in the collective polaron potential develop. Finally the sequence in the filling of the states is found and the stability of the clusters is assessed. Copyright Springer-Verlag Berlin/Heidelberg 2004