We computationally study the effect of uniaxial strain in modulating the spontaneous emission of photons in silicon nanowires. Our main finding is that a one to two orders of magnitude change in spontaneous emission time occurs due to two distinct mechanisms: (A) Change in wave function symmetry, where within the direct bandgap regime, strain changes the symmetry of wave functions, which in turn leads to a large change of optical dipole matrix element. (B) Direct to indirect bandgap transition which makes the spontaneous photon emission to be of a slow second order process mediated by phonons. This feature uniquely occurs in silicon nanowires while in bulk silicon there is no change of optical properties under any reasonable amount of strain. These results promise new applications of silicon nanowires as optoelectronic devices including a mechanism for lasing. Our results are verifiable using existing experimental techniques of applying strain to nanowires.
A thorough framework for how to interpret
and predict the steady-state
voltammetric responses of semiconductor ultramicroelectrodes (SUMEs)
has been compiled. Through consideration of the Marcus–Gerischer
treatment for heterogeneous charge transfer and the interplay between
the fractions of the applied potential that drop across the space-charge
region, the solution, and their interface in depletion and accumulation
conditions, the complex potential dependences of the majority carrier
densities, n
s, and the rate constant for
electron transfer from the conduction band edge, k
et, are identified. Incorporation of these terms in the
conventional fitting procedures of steady-state voltammetry at inlaid
disk electrodes affords determination of the full J–E responses of n-type SUMEs in a variety
of experimental permutations. Working curves are presented to illustrate
how the specific values of the conduction band edge potential, the
reorganization energy for charge transfer, the standard potential
of the redox species, and the doping density control the form of the
voltammetric responses of a pristine semiconductor/electrolyte interface.
Further working curves are provided to highlight the expected influence
of surface states on the steady-state voltammetry of SUMEs. An example
of how to analyze experimental data without the use of “non-ideality”
factors is shown, illustrating that it is possible to extract validated
estimates of heterogeneous charge-transfer constants and the defect
character of the semiconductor/electrolyte interface. In total, this
work provides a clear guide for utilizing simple, raw voltammetric
data from SUMEs to study semiconductor/electrolyte contacts of interest.
A rigorous analytical evaluation of minority carrier current in a heavily doped region (such as emitter) of a semiconductor device is presented that includes position-dependent band-gap narrowing, position-dependent mobility, and position-dependent lifetime. In addition, the analysis takes into account the possible finite surface recombination velocity.
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