Quantum Nano-Plasmonics

Description

With examples and clear explanation throughout, this step-by-step approach makes quantum theory of plasmons accessible to readers without specialized training in theory. Jacak uses original research results to offer a fully analytical theory formulation suitable for further development and applications. The theory is focused on the Random Phase Approximation description of plasmons in metallic nano-structures, previously defined for bulk metal. Particular attention is paid to large damping of plasmons in nanostructures including electron scattering and Lorentz friction losses, quantum description of plasmon photovoltaic effect is presented and there is in-depth analysis of plasmon-polariton kinetics in metallic nano-chains. Suitable for students in the field of plasmonics, opto-electronics and photonics, and for researchers active in the field of photo-voltaics, opto-electronics, nano-plasmonics and nano-photonics. Also of help to researchers in soft plasmonics with applications to electro-signalling in neurons. Contents Preface 1 Introduction and Description of Contents 2 Physics of Metals – Preliminaries 2.1 Definition of a Metal 2.2 Scheme of the Fermi Liquid Theory 2.2.1 Phenomenological Theory of a Fermi Liquid 2.2.2 Outline of the Microscopic Theory of a Normal Fermi Liquid 3 Quasiclassical Description of Plasmons in the Bulk Metal 3.1 Random Phase Approximation Theory of Plasmons of Pines and Bohm 3.2 Screening of the Coulomb Interaction in Metals 4 Plasmon Excitations in Nanometre-Sized Metallic Particles 5 Damping of Plasmons in Metallic Nanoparticles 5.1 Damped Plasmonic Oscillations in Metallic Nanospheres in Dielectric Surroundings 5.2 Attenuation of Dipole Surface Plasmons with Exact Inclusion of the Lorentz Friction 5.3 Comparison of Surface Plasmon Oscillation Features Including Lorentz Friction with the Experimental Data and Simplified Mie Approach 5.4 Numerical Modelling of Plasmon Resonances in Metallic Nanoparticles 6 Plasmon Photovoltaic Effect 6.1 Semiclassical RPA Approach to Plasmons in Large Metallic Nanospheres 6.2 Damping of Plasmons in Large Nanospheres 6.2.1 Radiation from Dipole Surface Plasmons – Lorentz Friction for Plasmons 6.3 Transfer of Sunlight Energy to a Semiconductor Mediated by Surface Plasmons through the Channel of Dipole Coupling in the Near-Field Regime 6.3.1 Fermi Golden Rule for Band Electron Transitions due to Coupling with Plasmons 6.3.2 Plasmon Damping Rate due to Near-Field Coupling with Semiconductor-Band Electrons 6.3.3 Transfer of Light Energy via the Plasmon Channel 6.4 Experimental Demonstration of the Proximity Constraints of the Plasmon Effect 6.5 Calculation of the Matrix Element for the Fermi Golden Rule Expression (6.37) 7 Plasmon-Induced Efficiency Enhancement of Solar Cells Modified by Metallic Nanoparticles: Material Dependence 7.1 Plasmon-Mediated Photoeffect: Probability of Electron Interband Excitation Due to Plasmons 7.2 Damping Rate for Plasmons in a Metallic Nanoparticle Deposited on a Semiconductor 7.3 Efficiency of the Light Absorption Channel via Plasmons for Various Materials 8 Numerical Simulation of Plasmon Photoeffect 8.1 Lorentz Friction Channel for Energy Losses of Surface Plasmons in a Metallic Nanoparticle 8.2 Fermi Golden Rule for Probability of Electron Interband Excitation due to Plasmons in a Metallic Nanoparticle 8.3 Numerical Modelling of the Plasmon Photoeffect by COMSOL 8.4 Comparison with Experiment 8.5 Conclusions 9 Plasmon–Polaritons in Metallic Nanoparticle Chains 9.1 Plasmon Oscillations in Metallic Nanospheres 9.2 Radiative Properties of a Metallic Nanosphere in a Chain 9.3 Calculation of the Radiative Damping of a Plasmon–Polariton in a Chain 9.4 Plasmon–Polariton Self-Modes in a Chain Propagation 9.5 The Self-Frequencies and Group Velocities of Plasmon–Polaritons in a Nano-Chain 9.6 Exact Solution of Eq. (9.20) for the Plasmon–Polariton Self-Energy 9.7 Collective Plasmon-Wave-Type Propagation along a Nano-Chain; Near-Field-Zone Approximation 9.7.1 Near-Field-Zone Approximation of the Dipole Interaction in a Chain 9.7.2 Medium- and Far-Field Corrections to the Near-Field Dipole Interaction 9.7.3 Nonlinear Corrections to the Lorentz Friction 9.7.4 Nonlinear Correction to the Radiation Losses of Plasmon–Polariton in a Nano-Chain 10 Plasmon–Polariton Kinetics in a Metallic Nano-Chain Located in Absorbing Surroundings 10.1 Plasmon Oscillations in a Single Metallic Nanosphere Including Damping 10.2 Radiative Properties of Plasmon–Polaritons in a Metallic Nano-Chain Embedded in a Dielectric Medium 10.3 Plasmon–Polariton Self-Modes in a Chain in Dielectric Surroundings 10.4 Damping of Surface Plasmons in a Single Metallic Nanoparticle Deposited on a Semiconductor Substrate 10.5 Plasmon–Polariton Dynamics in a Metallic Chain Deposited on a Semiconductor 11 Plasmons in Finite Spherical Ionic Systems 11.1 Fluctuations of the Charge Density in a Spherical Electrolyte System 11.2 Model Definition 11.3 Solution of RPA Plasmon Equation: Volume and Surface Plasmon Frequencies in a Spherical Finite Ion System 11.3.1 Ionic Surface Ion Plasmon Frequencies for an Electrolyte Nanosphere Embedded in a Dielectric Medium with ε1 > 1 11.4 Damping of Plasmon Oscillations in Ionic Systems 11.4.1 Exact Inclusion of the Lorentz Damping 11.5 Derivation of Plasmon Frequencies for a Finite Electrolyte System 11.5.1 Volume Ionic Plasmons 11.5.2 Surface Ionic Plasmons 12 Plasmon–Polaritons in a Chain of Finite Ionic Systems; Model of Saltatory Conduction in Myelinated Axons 12.1 Plasmon–Polariton Propagation in Linear Periodic Ionic Systems 12.2 Plasmon–Polariton Model of Saltatory Conduction: Fitting the Kinetics to the Axon Parameters 12.3 Soft Plasmonics Application: The Role of Grey and White Matter in Information Processing in the Brain 12.3.1 Possible Link with the Topological Model of a Neuron Web References Index