A BOOK OF ABSTRACT ALGEBRA
CONTENTS CHAPTER 1 FRENKEL AND CHARGE-TRANSFER EXCITONS IN ORGANIC SOLIDS 1 INTRODUCTION 2 MICROSCOPIC THEORY OF FRENKEL EXCITONS 3 DIELECTRIC THEORY OF FRENKEL EXCITONS 4 DIFFUSION OF FRENKEL EXCITONS 5 SELF-TRAPPING OF EXCITONS: SPECTRA AND TRANSPORT 6 CHARGE-TRANSFER EXCITONS IN ORGANIC SOLIDS 7 MOLECULAR AGGREGATES: LOW-DIMENSIONAL EXCITON SYSTEMS 8 EXCITONS IN BIOLOGICAL SYSTEMS 9 CONCLUDING REMARKS ACKNOWLEDGEMENT REFERENCES CHAPTER 2 WANNIER–MOTT EXCITONS IN SEMICONDUCTORS 1 INTRODUCTION 2 WANNIER–MOTT EXCITONS IN BULK SEMICONDUCTORS 3 QUANTUM CON?NED WANNIER–MOTT EXCITONS 4 QUANTUM WELL EXCITON OPTICAL NONLINEARITIES CHAPTER 3 POLARITONS 1 INTRODUCTION AND GENERAL CONCEPTS 2 CLASSICAL THEORY OF POLARITONS 3 QUANTUM THEORY OF POLARITONS 4 REAL SPACE DENSITY MATRIX APPROACH 5 EXPERIMENTS ON POLARITONS 6 SURFACE POLARITONS 7 QUANTUM WELL POLARITONS 8 QUANTUM WIRE POLARITONS 9 EXCITON-POLARITONS IN MICROCAVITIES ACKNOWLEDGEMENTS CHAPTER 4 OPTICS AND NONLINEARITIES OF EXCITONS IN ORGANIC MULTILAYERED NANOSTRUCTURES AND SUPERLATTICES 1 INTRODUCTION 2 DIELECTRIC CONSTANT TENSOR OF LONG PERIOD ORGANIC SUPERLATTICES WITH ISOTROPIC LAYERS 3 DIELECTRIC CONSTANT TENSOR OF LONG PERIOD ORGANIC SUPERLATTICES WITH ANISOTROPIC LAYERS 4 OPTICAL NONLINEARITIES IN ORGANIC MULTILAYERS 5 DIELECTRIC TENSOR FOR SHORT PERIOD ORGANIC SUPERLATTICES 6 GAS-CONDENSED MATTER SHIFT AND POSSIBILITY TO GOVERN SPECTRA OF FRENKEL EXCITONS 7 FERMI RESONANCE INTERFACE MODES IN ORGANIC SUPERLATTICES CHAPTER 5 MIXING OF FRENKEL AND CHARGE-TRANSFER EXCITONS AND THEIR QUANTUM CON?NEMENT IN THIN FILMS 1 INTRODUCTION 2 ELECTRONIC FRENKEL AND CHARGE-TRANSFER EXCITONS IN RIGID ONE-DIMENSIONAL CRYSTALS 3 STRONG COUPLING OF THE ELECTRONIC EXCITATIONS WITH INTERNAL PHONON MODES 4 APPLICATIONS AND CONSEQUENCES FOR QUANTUM CON?NEMENT 5 CONCLUSION CHAPTER 6 TWO-DIMENSIONAL CHARGE-TRANSFER EXCITONS AT A DONOR–ACCEPTOR INTERFACE 1 PHASE TRANSITION FROM DIELECTRIC TO CONDUCTING STATE (COLD PHOTOCONDUCTIVITY) 2 CUMULATIVE PHOTOVOLTAGE IN ASYMMETRICAL DONOR–ACCEPTOR ORGANIC SUPERLATTICES 3 NONLINEAR OPTICAL RESPONSE OF CHARGE-TRANSFER EXCITONS AT DONOR–ACCEPTOR INTERFACE CHAPTER 7 HYBRIDIZATION OF FRENKEL AND WANNIER–MOTT EXCITONS IN ORGANIC-INORGANIC HETEROSTRUCTURES STRONG COUPLING REGIME 1 INTRODUCTION 2 HYBRID 2D FRENKEL WANNIER–MOTT EXCITONS AT THE INTERFACE OF ORGANIC AND INORGANIC QUANTUM WELLS 3 NONLINEAR OPTICS OF 2D HYBRID FRENKEL–WANNIER–MOTT EXCITONS 4 HYBRID EXCITONS IN PARALLEL ORGANIC AND INORGANIC SEMICONDUCTOR QUANTUM WIRES 5 ON THE HYBRIDIZATION OF “ZERO-DIMENSIONAL” FRENKEL AND WANNIER–MOTT EXCITONS 6 HYBRIDIZATION OF EXCITONS IN MICROCAVITY CON?GURATIONS CHAPTER 8 STRONG OPTICAL COUPLING IN ORGANIC SEMICONDUCTOR MICROCAVITIES 1 INTRODUCTION 2 ORGANIC SEMICONDUCTOR MICROCAVITIES 3 ORGANIC SEMICONDUCTORS FOR STRONG OPTICAL COUPLING 4 OPTICAL MEASUREMENT TECHNIQUES 5 DISPERSION OF CAVITY POLARITONS 6 CAVITY EMISSION FOLLOWING NON-RESONANT LASER EXCITATION 7 PHOTON EMISSION FOLLOWING RESONANT EXCITATION 8 PHOTON-MEDIATED HYBRIDISATION BETWEEN FRENKEL EXCITONS 9 FUTURE PROSPECTS CHAPTER 9 ELECTRONIC ENERGY TRANSFER IN A PLANAR MICROCAVITY 1 ENERGY TRANSFER: AN INTRODUCTORY DISCUSSION 2 SEMICLASSICAL DESCRIPTION OF THE TRANSFER 3 MODELING A SPECI?C STRUCTURE 4 WEAK ABSORPTION REGIME 5 NUMERICAL RESULTS 6 DISCUSSION 7 CONCLUDING REMARKS CHAPTER 10 ENERGY TRANSFER FROM A SEMICONDUCTOR NANOSTRUCTURE TO AN ORGANIC MATERIAL AND A NEW CONCEPT FOR LIGHT-EMITTING DEVICES 1 INTRODUCTION 2 THE GENERAL CALCULATION SCHEME FOR THE ENERGY TRANSFER 3 TRANSFER IN THE PLANAR GEOMETRY: QUANTUM WELLS 4 TRANSFER IN THE SPHERICAL GEOMETRY: QUANTUM DOTS 5 APPLICATION TO LIGHT-EMITTING DEVICES 6 SUMMARY CHAPTER FRENKEL AND CHARGE-TRANSFER EXCITONS IN ORGANIC SOLIDS 1 INTRODUCTION 1 INTRODUCTION EXCITONS ARE ELECTRONIC EXCITATIONS OF DIELECTRIC SOLIDS AND CLUSTERS THAT PLAY A CRUCIAL RULE IN THE OPTICAL RESPONSE OF THESE MATERIALS THEY REPRESENT BOUND ELECTRON–HOLE PAIRS, THAT MAY BE GENERATED BY ABSORPTION OF LIGHT OR BY RELAX- ATION OF FREE ELECTRONS AND HOLES AFTER OPTICAL OR ELECTRICAL PUMPING AMONG THE OPTICAL PROPERTIES OF EXCITON SYSTEMS THAT HAVE AROUSED MUCH INTEREST, ARE COOP- ERATIVE SPONTANEOUS EMISSION [1,2] (INCLUDING APPLICATION IN LIGHT-EMITTING DIODES [3] AND LASERS [4]), STRONG OPTICAL NONLINEARITIES [5–7], AND OPTICAL BISTABILITY [8] ALSO THE POSSIBILITY TO OPTICALLY CREATE BOSE–EINSTEIN CONDENSATES OF (PAIRS OF) EXCITONS HAS ATTRACTED MUCH ATTENTION [9,10] BEING ELECTRON–HOLE PAIRS, EXCITONS CARRY NO CHARGE, WHICH MEANS THAT THEY DO NOT CONTRIBUTE TO ELECTRICAL CONDUCTION THEY DO CARRY EXCITATION ENERGY, HOWEVER, AND THEIR MOBILITY THEREFORE IS RESPONSIBLE FOR ENERGY TRANSPORT PROCESSES THIS TRANSPORT NOT ONLY IS OF MUCH INTEREST IN SOLIDS, LIKE SEMICONDUCTORS AND INSU- LATING ORGANIC CRYSTALS, BUT ALSO IN MESOSCOPIC AND NANOSCOPIC SYSTEMS, SUCH AS THE MOLECULAR CYANINE AGGREGATES THAT ARE RESPONSIBLE FOR LIGHT SENSITIZATION OF A BOOK OF ABSTRACT ALGEBRA