Polarons in Bulk Materials and Systems With Reduced DimensionalityG. Iadonisi, J. Ranninger, G. De Filippis IOS Press, 2006/05/22 - 468 ページ An enormous theoretical effort has been made to treat electron-phonon coupled systems, with particular emphasis on Many Body aspects for dense electron systems, taking into account continuum as well as lattice polaron effects. Treating such aspects of polaron theory has been made possible because of powerful Many Body techniques which include: Exact Diagonalization techniques, Quantum Monte Carlo approaches, Density Matrix renormalization group and Dynamical Mean Field Theory. All these advances in polaron theory needed to be accompanied by: (i) an equally important advance in material research which produced many new materials such as the high Tc cuprates, the manganites and nickelates and the fullerines; (ii) as well as significant advances in the refinement of experimental analysis and, in particular, the spectroscopic means such as Angel Resolved Photoemission Spectroscopy, X Ray Absorption Spectroscopy (EXAFS, XANES), Pulsed Neutron Diffraction measurements allowing to study the local dynamical lattice de-formations and optical spectroscopy including time resolved measurements. The scope and purpose of this publication is to review both these theoretical and experimental advances which occurred over the last few decades and to introduce the study of such systems, where both strong electron-electron correlations and large electron-phonon coupling strengths play important roles. |
目次
Basic concepts and models | 1 |
Concepts and recent developments | 27 |
Effects of strong chargelattice coupling on the optical conductivity of transition metal oxides | 53 |
On the local lattice displacements in the correlated transition metal oxides | 79 |
CMR manganites and HTSC cuprates | 101 |
Variational approaches to polarons | 119 |
Polarons and bipolarons in Holstein and Holstein tJ models by dynamical meanfield theory | 131 |
Renormalization group approaches to strongly correlated electronphonon systems | 155 |
Spectral signatures of Holstein polarons | 285 |
Quantum phase transitions in onedimensional electronphonon systems | 297 |
Polaron formation in the AndersonHolstein model | 313 |
From Cooper pairs to resonating bipolarons | 327 |
From cuprates to metalammonia solutions | 349 |
Electronphonon coupling in strongly correlated materials | 361 |
Infrared absorption in polaronic systems | 377 |
Beyond the independent boson model | 391 |
Polarons by exact Diagrammatic Monte Carlo and Stochastic Optimization methods | 177 |
Dynamical localizationdelocalization transition in the HubbardHolstein model | 207 |
Electronphonon coupling in the presence of strong correlations | 227 |
Exact numerical methods for electronphonon problems | 247 |
Thermodynamical and dynamical instabilities in the homogeneous largepolaron gas | 413 |
Change of local lattice deformations by tuning of pair correlations | 429 |
Elenco dei partecipanti | 435 |
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adiabatic antiadiabatic approach approximation atomic band bipolarons bosonic calculated corresponding Coulomb coupling constant crossover Cu-O cuprates density matrix Devreese J. T. displacements distortions DMFT DMRG doping dynamical edited effective eigenstates electron electron-phonon coupling electron-phonon interaction energy EP coupling equation exact diagonalization EXAFS excitations Fehske H Fermi fermions Filippis finite Fisica Fröhlich Green’s function ground-state half-filling Hamiltonian Hilbert space Holstein model Hubbard model Iadonisi impurity increasing insulating lattice Lett limit localisation manganites mean-field metallic method mode Mott insulating Mott transition obtained optical absorption optical conductivity pairs panel parameters particles peak phase phonon phonon frequency Phys Physics polarization polaron potential problem properties quantum quantum dot quasiparticle Ranninger regime renormalization resonance self-energy self-trapped spectral function spectral weight spectrum spin spinless strong-coupling structure superconducting t-J model temperature theory transition vector wave function Wellein G zero