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By Alexandre S. Alexandrov
Polarons in complicated fabrics will lead the reader from single-polaron difficulties to multi-polaron platforms and at last to an outline of many fascinating phenomena in high-temperature superconductors, ferromagnetic oxides, accomplishing polymers and molecular nanowires. The ebook divides obviously into 4 components. half I introduces a unmarried polaron and describes fresh achievements in analytical and numerical experiences of polaron homes in numerous electron-phonon types. half II and half III describe multi-polaron physics, and half IV describes many key actual houses of high-temperature superconductors, huge magnetoresistance oxides, accomplishing polymers and molecular nanowires, which have been understood with polarons and bipolarons. The booklet is written within the kind of self-consistent experiences authored by means of well-established researchers actively operating within the box and may gain scientists and postgraduate scholars with a history in condensed topic physics and fabrics sciences.
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Extra resources for Polarons in Advanced Materials (Springer Series in Materials Science)
Example text
Second, comparing the peak and shoulder energies, obtained by DQMC, with the peak energies, given by MFF, and the FC transition energies from the SCE, it is concluded [35] that as α increases from 6 to 10 the spectral weights rapidly switch from the dynamic regime, where the lattice follows the electron motion, to the adiabatic regime dominated by FC transitions. In the intermediate electron-phonon coupling regime, 6 < α < 10, both adiabatic FC and non-adiabatic dynamical excitations coexist. For still larger coupling (α 10), the polaron OA spectrum consists of a broad FC-structure, built of LO-phonon sidebands.
The PD-scaling relation for the polaron ground-state energy as derived in [102] is given by (52). In Fig. 11, lower panel, the available data for the free energy from [38] are plotted in the following form, inspired by the lhs and the rhs parts of (52): F2D (α) (squares) and 23 F3D 3πα (open triangles). As follows from the figure, 4 the path integral Monte Carlo results for the polaron free energy in 2D and 3D very closely follow the PD-scaling relation of the form given by (52): F2D (α) ≡ 2 F3D 3 3πα 4 .
4 × 10−2 (dash-dotted curve). The electron density is measured per Rp3 , where Rp is the Fr¨ ohlich polaron radius. 4. The optical conductivity is expressed in units of n0 e2 /mb ωLO . The solid curve practically coincides with the known optical conductivity of a single polaron [30] (DSG). (Reprinted with permission after [131]. ) In Fig. 22, the total spin S of a system of interacting polarons in their ground state is plotted as a function of N for different values of the confinement frequency Ω0 , of the electron-phonon coupling constant α and of the parameter η = ε∞ /ε0 .