Elastic relaxation on facet edges, renormalization of the surface ener
gy of the facets, and interaction between islands via the strained sub
strate are the driving forces for self-organization of ordered arrays
of uniform coherent three-dimensional islands on crystal surfaces. For
a (100) surface of a cubic crystal, two-dimensional square lattice of
pyramid-like islands (quantum dots) with the periodicity along the di
rections of the lowest stiffness [010] and [001] has the minimum energ
y among different one-dimensional and two-dimensional arrays. For the
InAs/GaAs(100) system, an equilibrium array of dots of the lateral siz
e similar to 120-140 Angstrom exists in a fixed range of growth parame
ters. The main luminescence peak at 1.1 eV, as well as peaks of excite
d states coincide bl energy with the peaks revealed in the calorimetri
c absorption spectra regardless of the amount of InAs deposited (2-5 M
L). Raman spectra indicate significant strain in InAs dots. The ''phon
on bottleneck'' effect is bypassed via multi-phonon exciton and carrie
r relaxation. Ultranarrow lines(< 0.15 meV) are observed in cathodolum
inescence spectra up to high temperatures. Low threshold current densi
ty operation via zero-dimensional states and ultrahigh temperature sta
bility of the threshold current (T-0 = 450 K) are realized for a quant
um dot injection laser. Increase in the gain and significant reduction
in the radiative lifetime are possible via the self-organization of v
ertically-coupled quantum dots (VECODs) arranged in a well ordered art
ificial three-dimensional tetragonal lattice.