scholarly journals Polaritonic crystal formed of a tunnel-coupled microcavity array and an ensemble of quantum dots

2021 ◽  
Vol 2052 (1) ◽  
pp. 012036
Author(s):  
V V Rumyantsev ◽  
S A Fedorov ◽  
K V Gumennyk ◽  
A Ye Rybalka ◽  
Yu D Zavorotnev

Abstract Propagation of polariton excitations in a defect-containing one-dimensional lattice of microcavities with embedded ultracold atomic nanoclusters (quantum dots) is being considered. The virtual crystal approximation is used to study the properties of electromagnetic excitation spectrum resulting from random variations of the atomic subsystem composition and positions of micropores, as well as from a homogeneous elastic deformation of the considered one-dimensional structure. The group velocity dependence of polariton excitations on structural defect concentration and on deformation parameter is being numerically modeled.

RSC Advances ◽  
2016 ◽  
Vol 6 (15) ◽  
pp. 12467-12471 ◽  
Author(s):  
Qiong Luo ◽  
Liyong Chen ◽  
Binhua Duan ◽  
Zhizhi Gu ◽  
Jing Liu ◽  
...  

Hierarchical porous and hollow N-doped graphitic carbon with one-dimensional structure was successfully achieved by a sacrificial template method, and exhibited an enhanced electrocatalytic performance towards ORR due to its special structure.


2007 ◽  
Vol 21 (02n03) ◽  
pp. 139-154 ◽  
Author(s):  
J. H. ASAD

A first-order differential equation of Green's function, at the origin G(0), for the one-dimensional lattice is derived by simple recurrence relation. Green's function at site (m) is then calculated in terms of G(0). A simple recurrence relation connecting the lattice Green's function at the site (m, n) and the first derivative of the lattice Green's function at the site (m ± 1, n) is presented for the two-dimensional lattice, a differential equation of second order in G(0, 0) is obtained. By making use of the latter recurrence relation, lattice Green's function at an arbitrary site is obtained in closed form. Finally, the phase shift and scattering cross-section are evaluated analytically and numerically for one- and two-impurities.


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