Advances in polaron physics

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Hauptverfasser: Alexandrov, Alexandre S. (VerfasserIn), Devreese, Jozef T. 1937- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 2010
Schriftenreihe:Springer series in solid state sciences 159
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Datensatz im Suchindex

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adam_text Titel: Advances in polaron physics Autor: Alexandrov, Alexandre S. Jahr: 2010 Contents Introduction............................................... 1 1.1 First-Principle Hamiltonian............................... 1 1.2 Local Density Approximation............................. 2 1.3 Electron-Phonon Interaction in the Bloch Representation..... 3 1.4 Electron-Phonon Interaction in the Wannier (Site) Representation.......................................... 5 Continuum Polaron........................................ 11 2.1 Pekar s Polaron......................................... 12 2.1.1 Ground State..................................... 12 2.1.2 Effective Mass of Pekar s Polaron.................... 13 2.2 Frohlich Large Polaron................................... 15 2.2.1 Weak-Coupling Regime............................ 15 2.2.2 Lee-Low-Pines Transformation..................... 16 2.3 All-Coupling Frohlich Polaron............................. 18 2.3.1 Feynman Theory.................................. 18 2.3.2 Diagrammatic Monte Carlo Algorithm............... 22 2.4 Response of Continuum Polarons.......................... 27 2.4.1 Mobility.......................................... 27 2.4.2 Optical Absorption at Weak Coupling................ 32 2.4.3 Optical Absorption at Strong Coupling............... 34 2.4.4 Optical Absorption at Arbitrary Coupling............ 37 2.4.5 Main Peak Line and Strong-Coupling Expansion...... 41 2.4.6 Comparison Between Optical Conductivity Spectra Obtained by Different Methods ..................... 45 2.4.7 Sum Rules for the Optical Conductivity Spectra of Frohlich Polarons............................... 46 2.5 Polaron Scaling Relations................................. 50 VIII Contents 3 Lattice Polaron............................................ 53 3.1 Holstein Model.......................................... 53 3.1.1 Nonadiabatic Holstein Polaron...................... 55 3.1.2 Adiabatic Holstein Polaron......................... 56 3.2 Lang-Firsov Canonical Transformation..................... 58 3.2.1 I/A Expansion and Polaron Band................. 59 3.2.2 Temperature Effect on the Polaron Band............. 61 3.3 Effect of EPI Range and Phonon Dispersion on Lattice Polaron Dynamics....................................... 63 3.4 All-Coupling Lattice Polaron.............................. 66 3.4.1 Holstein Model at Any Coupling.................... 66 3.4.2 Short-Range EPI in Infinite Lattices................. 68 3.4.3 Finite-Range EPI: Mobile Small Polaron............. 71 3.5 Isotope Effect on the Polaron Mass........................ 77 3.6 Jahn-Teller Polaron..................................... 78 3.7 Trapping of Lattice Polarons by Impurities................. 81 3.8 Response of Lattice Polarons.............................. 83 3.8.1 Hopping Mobility ................................. 83 3.8.2 Optical Conductivity .............................. 86 3.8.3 Spectral and Green s Functions ..................... 90 4 Bipolaron.................................................. 97 4.1 Polaron-Polaron Interaction.............................. 97 4.2 Holstein Bipolaron....................................... 99 4.3 Continuum Frohlich Bipolaron............................104 4.4 Discrete Superlight Frohlich Bipolaron.....................106 4.5 Discrete All-Coupling Frohlich Bipolaron...................Ill 4.6 Polaronic Exciton.......................................113 5 Multipolaron Problem.....................................115 5.1 Ground State of a Large-Polaron Gas, Polaron Wigner Crystals, and Ripplopolarons .............................115 5.2 Breakdown of the Migdal-Eliashberg Theory in the Strong-Coupling Regime..................................121 5.3 Polaronic Superconductivity..............................124 5.4 Lattice Bipolarons and Competing Orders..................126 5.5 Bipolaronic Superconductivity ............................129 5.6 Polarons and Spin Effects ................................131 6 Polarons and Bipolarons in Advanced Materials...........135 6.1 Polarons in High-Temperature Superconductors.............135 6.2 Polarons in Colossal Magnetoresistance Oxides..............139 6.3 Polarons in Nanostructures...............................141 6.3.1 Polaron Effects in Semiconductor Quantum Dots......141 Contents IX 6.3.2 Correlated Polaron Transport Through Molecular Quantum Dots....................................143 7 Current Status of Polarons and Open Problems ...........145 References.....................................................149 Index..........................................................165
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indexdate 2024-12-23T22:45:39Z
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physical IX, 167 S. Ill., graph. Darst.
publishDate 2010
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publishDateSort 2010
publisher Springer
record_format marc
series Springer series in solid state sciences
series2 Springer series in solid state sciences
spellingShingle Alexandrov, Alexandre S.
Devreese, Jozef T. 1937-
Advances in polaron physics
Springer series in solid state sciences
Elektron-Phonon-Wechselwirkung (DE-588)4140167-0 gnd
Polaron (DE-588)4140166-9 gnd
subject_GND (DE-588)4140167-0
(DE-588)4140166-9
title Advances in polaron physics
title_auth Advances in polaron physics
title_exact_search Advances in polaron physics
title_full Advances in polaron physics Alexandre S. Alexandrov ; Jozef T. Devreese
title_fullStr Advances in polaron physics Alexandre S. Alexandrov ; Jozef T. Devreese
title_full_unstemmed Advances in polaron physics Alexandre S. Alexandrov ; Jozef T. Devreese
title_short Advances in polaron physics
title_sort advances in polaron physics
topic Elektron-Phonon-Wechselwirkung (DE-588)4140167-0 gnd
Polaron (DE-588)4140166-9 gnd
topic_facet Elektron-Phonon-Wechselwirkung
Polaron
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018669503&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000016582
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