Polarons in Bulk Materials and Systems With Reduced Dimensionality

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G. 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.
 

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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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