Outgoing excitonic resonance in multiphonon Raman scattering from polar semiconductors

Belitsky, V. I.; Cantarero, A.; Pavlov, S. T.; Cardona, M.; Lang, I. G.; Prokhorov, A. V.

doi:10.1103/physrevb.52.11920

Cited by 12 publications

(13 citation statements)

References 13 publications

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“…Note that the results for the QQ and QG sectors were used by us previously for the evaluation of NLO corrections to the amplitudes of the non-forward processes making use of the conformal covariant operator product expansion [51,52].…”

Section: (133)mentioning

confidence: 99%

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Broken conformal invariance and spectrum of anomalous dimensions in QCD

1999

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Employing the operator algebra of the conformal group and the conformal Ward identities, we derive the constraints for the anomalies of dilatation and special conformal transformations of the local twist-2 operators in Quantum Chromodynamics. We calculate these anomalies in the leading order of perturbation theory in the minimal subtraction scheme. From the conformal consistency relation we derive then the off-diagonal part of the anomalous dimension matrix of the conformally covariant operators in the two-loop approximation of the coupling constant in terms of these quantities. We deduce corresponding off-diagonal parts of the Efremov-RadyushkinBrodsky-Lepage kernels responsible for the evolution of the exclusive distribution amplitudes and non-forward parton distributions in the next-to-leading order in the flavour singlet channel for the chiral-even parity-odd and -even sectors as well as for the chiral-odd one. We also give the analytical solution of the corresponding evolution equations exploiting the conformal partial wave expansion.

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Section: (133)mentioning

confidence: 99%

“…In the final section 8 we give our conclusions. To clarify the presentations given in the body of the paper 5 Exploiting this fact together with the conformal operator product expansion we had, recently, the opportunity to give several predictions for some non-forward processes [50,51,52].…”

Section: Introductionmentioning

confidence: 99%

Broken conformal invariance and spectrum of anomalous dimensions in QCD

1999

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“…In the past, high-order MRRS spectra have been extensively studied in bulk II-VI semiconductors. [55][56][57] A "cascade model" process is usually used to explain the MRRS mechanism. 58 Hot excitons, i.e., excitons with very large kinetic energy, are considered to be generated when the resonance absorption happens.…”

Section: Mrrs In Polar Semiconductormentioning

confidence: 99%

Multiphonon Resonant Raman Scattering (MRRS) of Semiconductor Nanomaterials for Biodetection

Xia

Chu²,

Liu³

2011

j nanosci nanotechnol

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Robust, rapid and sensitive detection of specific molecules at ultra low concentrations is becoming increasing important, especially for medical diagnosis, food safety and environmental protection. Various spectroscopic techniques have been developed to apply in analysis and assay fields, including fluorescent spectroscopy, infrared spectroscopy and surface-enhanced Raman spectroscopy (SERS), etc. Multiphonon resonant Raman scattering (MRRS) technique is usually used to investigate optical lattice vibrations and the interaction between phonon and electron in semiconductor nanomaterials. Recently, it exhibits fascinating prospects in biodetection due to its significant specific spectroscopic and material advantages. The multiple-order phonon lines are material intrinsic and thus can be used as a characteristic fingerprint signal to label the biomolecules. The strong anti-interference capacity to external environment allows an accurate detection. Narrow bandwidth makes the technique suitable for multiplexed analysis. Proper choice of nontoxic inorganic semiconductor materials facilitates in-vivo detection. This review focuses on the current theoretical and technical developments in MRRS of semiconductor nanomaterials and highlights their applications in bioanalysis. The basic principle, merits, challenges and future perspectives of MRRS detection technique are discussed.

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“…[3] that means that we can understand the above expansion only in a restricted sense. Namely, we have to represented it in the form [8] x…”

Section: Solution Of the Two-loop Evolution Equationmentioning

confidence: 99%

“…At the present stage all the required perturbative inputs are available, i.e. one-loop coefficient functions [5,6,7,8,9] and two-loop anomalous dimensions of the moments of the non-forward functions [10,11], which make possible its analysis in next-to-leading order (NLO) of perturbation theory in the flavour singlet channel. In the above list of corrections the latter were derived within a formalism which allows to determine the eigenfunctions of the two-loop generalized Efremov-Radyushkin-Brodsky-Lepage (ER-BL) evolution equations in closed analytical form.…”

Section: Introductionmentioning

confidence: 99%