scholarly journals Exponentially Correlated Gaussians for Simulating Of Localized and Autolocalized States in Polar Media

2017 ◽  
Vol 12 (2) ◽  
pp. 273-301 ◽  
Author(s):  
Н.И. Каширина ◽  
N.I. Kashirina
Keyword(s):  
Energy Spectrum ◽  
Localized States ◽  
Continuum Approximation ◽  
Electron Systems ◽  
Phonon Interaction ◽  
Phonon Field ◽  
Electron Phonon Interaction ◽  
Polar Media ◽  
Analytical Expressions ◽  
The Continuum

Localized and autolocalized states and their simplest two-electron complexes in polar media are considered in the continuum approximation. The electron-phonon interaction is taken into account in the Pekar-Fröhlich approximation. The exponentially correlated Gaussian basis is used for the calculation of the energy spectrum of two-electron systems in phonon field. Analytical expressions for effective functionals of paramagnetic centers and their simplest two-electron complexes are presented. Numerical examples are given for the calculations of the energy spectrum of localized and self-localized states in metal-ammonia solutions.

scholarly journals A Review of Geometry, Construction and Modelling for Carbon Nanotori

2019 ◽  
Vol 9 (11) ◽  
pp. 2301 ◽  
Author(s):  
Pakhapoom Sarapat ◽  
James Hill ◽  
Duangkamon Baowan
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanostructures ◽  
Single Walled Carbon Nanotubes ◽  
Continuum Approximation ◽  
Interaction Energies ◽  
Jones Potential ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes ◽  
Analytical Expressions ◽  
The Continuum

After the discovery of circular formations of single walled carbon nanotubes called fullerene crop circles, their structure has become one of the most researched amongst carbon nanostructures due to their particular interesting physical properties. Several experiments and simulations have been conducted to understand these intriguing objects, including their formation and their hidden characteristics. It is scientifically conceivable that these crop circles, nowadays referred to as carbon nanotori, can be formed by experimentally bending carbon nanotubes into ring shaped structures or by connecting several sections of carbon nanotubes. Toroidal carbon nanotubes are likely to have many applications, especially in electricity and magnetism. In this review, geometry, construction, modelling and possible applications are discussed and the existing known analytical expressions, as obtained from the Lennard-Jones potential and the continuum approximation, for their interaction energies with other nanostructures are summarised.

OPTICAL PHASE RELAXATION IN DISORDERED SEMICONDUCTORS DUE TO ELECTRON-PHONON COUPLING

1994 ◽  
Vol 08 (07) ◽  
pp. 935-941 ◽  
Author(s):  
V. HEUCKEROTH ◽  
D. BENNHARDT ◽  
P. THOMAS ◽  
H. VAUPEL
Keyword(s):  
Transport Processes ◽  
Localized States ◽  
Phase Relaxation ◽  
Phonon Interaction ◽  
Static Disorder ◽  
Optical Phase ◽  
Electron Phonon Interaction ◽  
Electron Phonon Coupling ◽  
Simple Model System ◽  
Dephasing Rate

Optical phase coherence can be destroyed by various interaction mechanisms, including scattering by static disorder, electron-phonon interaction and interaction among the optical excitations. The electron-phonon interaction strongly depends on the nature of the electronic states, which in turn is determined by the static disorder. It also gives rise to hopping and phonon-induced delocalization, i.e. to transport. However, there is no one-to-one correspondence between transport processes and dephasing processes in general. Only for strongly localized states can the dephasing rate be identified with the hopping rate. A general formulation of the problem is given and illustrated in terms of a simple model system.

Electron-Phonon Interaction in a Multi-Shell Spherical Nanoheterosystem

2003 ◽  
Vol 17 (20n21) ◽  
pp. 1081-1094
Author(s):  
Li Zhang ◽  
Hong-Jing Xie ◽  
Chuan-Yu Chen
Keyword(s):  
Longitudinal Optical ◽  
Core Region ◽  
Continuum Approximation ◽  
Phonon Modes ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
The Core ◽  
Dielectric Continuum ◽  
Shell Region

Under the dielectric continuum approximation, the confined longitudinal-optical (LO) phonon and interface-optical (IO) phonon modes of a multi-shell spherical nanoheterosystem are discussed. To describe the vibrations of the LO phonons, a proper eigenfunction for LO phonon modes in the core region is adopted and a legitimate eigenfunction for LO modes in the shell region is constructed. To deal with the IO phonon modes, determinant methods are employed, and the determinant deciding the frequencies of IO phonon modes are obtained. The quantized LO and IO phonons fields as well as their corresponding electron-phonon interaction Hamiltonians are also derived.

Sign in / Sign up

Export Citation Format

Share Document