Nonlinear Electronic Dispersion in CuCl

Haueisen, D. C.; Mahr, H.

doi:10.1103/physrevlett.26.838

Cited by 56 publications

(15 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The TPA spectra of the LE1 excitons displayed in Fig. 3͑b͒ show a shift of 357 eV/amu induced by the replacement of 35 Cl by 37 Cl in samples containing natural Cu. In contrast, LE1 decreases by 80 eV/amu when increasing the copper mass from 63 Cu to 65 Cu in samples that contain natural Cl ͓Fig.…”

Section: Resultsmentioning

confidence: 98%

“…5 While the fractional change of the lattice constant with isotope substitution has not been directly measured for CuCl, we estimate from the temperature dependence of the lattice parameter 40 ‫ץ(‬ ln a 0 /‫ץ‬M Cl ) p ӍϪ4 ϫ10 Ϫ5 1/amu and ‫ץ(‬ ln a 0 /‫ץ‬M Cu ) p Ӎϩ5.4ϫ10 Ϫ6 1/amu. From these values we estimate a contribution of ϳϩ40 eV/ amu for the substitution of 35 Cl by 37 Cl and ϳϪ6 eV/amu for that of 63 Cu by 65 Cu as compared with the measured values of ‫ץ‬E 0 /‫ץ‬M Cl ϭϩ364(18) eV/amu and ‫ץ‬E 0 /‫ץ‬M Cu ϭϪ76(5) eV/amu. Although this is only a rough estimate of the isotope lattice expansion contribution, in view of its small value compared to the measured gap renormalization we feel justified in neglecting it.…”

Section: A Mass and Temperature Dependence Of The Fundamental Gapmentioning

confidence: 97%

“…The elements used to grow our samples were isotopically pure ͑99.9%͒ except for the enriched 37 Cl, which contained about 11% of 35 Cl, as determined by mass spectroscopy. In order to avoid trivial effects caused by varying chemical impurities and crystal quality we investigated samples from independent sources and confirmed that the Raman spectra for identical isotopic compositions coincide.…”

Section: A Samplesmentioning

confidence: 99%

“…36 The intensity of second-harmonic generation ͑SHG͒ was monitored in order to determine the TP2 energy close to k ជ ϭ0 ជ . 37 Luminescence spectra were excited using ϳ0.3 mW of the 3638-Å ͑3.408-eV͒ line of an Ar-ion laser. The scattered light was dispersed by a Spex 1404 double monochromator ( f ϭ0.85 m͒.…”

Section: B Optical Spectroscopymentioning

confidence: 99%

See 3 more Smart Citations

Effects of the isotopic composition on the fundamental gap of CuCl

et al. 1998

View full text Add to dashboard Cite

We have investigated the effects of isotopic composition on the band gap of CuCl on a series of samples made out of the stable isotopes 63 Cu, 65 Cu, 35 Cl, and 37 Cl. Besides specimens containing elements with the natural abundances, we have measured samples with monoisotopic sublattices as well as artificial mixtures of isotopes. With nonlinear ͑two-photon absorption, second-harmonic generation͒ and linear ͑luminescence͒ optical spectroscopy we find that the fundamental gap of CuCl increases by 364͑18͒ eV/amu when increasing the Cl mass. However, it decreases by 76͑5͒ eV/amu when increasing the Cu mass. Using a two-oscillator model for the lattice dynamics of CuCl we show that these rates are consistent with the anomalous increase of the band gap with increasing temperature. These effects can be traced back to the strong p-d mixing in the copper halides. From the temperature dependence of the band gap of CuBr we also estimate the changes of its gap with isotopic composition.

show abstract

Section: Resultsmentioning

confidence: 98%

Section: A Mass and Temperature Dependence Of The Fundamental Gapmentioning

confidence: 97%

Section: A Samplesmentioning

confidence: 99%

Section: B Optical Spectroscopymentioning

confidence: 99%

See 2 more Smart Citations

Effects of the isotopic composition on the fundamental gap of CuCl

et al. 1998

View full text Add to dashboard Cite

show abstract

“…This peak at 2H(JO = E ex is much less pronounced than that observed from the low-temperature experiments with CuCl. 10 For CdSe, the enhancement of \d 33 \ when 2Hco is larger than 3.0 eV can be associated with the E x peaks in its joint density of states 25 (^ = 4.98 eV).…”

Section: Dispersion Of Nonlinear Optical Susceptibilities In Hexagonamentioning

confidence: 99%

Dispersion of Nonlinear Optical Susceptibilities in Hexagonal II-VI Semiconductors

1971

View full text Add to dashboard Cite

We have determined the dispersion of three independent nonlinear optical susceptibilities, l<2 15 l, \d n l and ldf 33 l, for CdS and CdSe. Tunable dye lasers (0.73 to 1.0 Mm) were used. In spite of the large absorption at the second harmonic and/or fundamental wavelengths, Kleinman's relation (d n^d3i ) holds. The ratio id 33 /d dl l exhibits dispersion and deviates from Robinson's relation (ratio of 2). The relative phase angles between d 15 and d 31 and between d gl and <2 33 were measured at two wavelengths by a new reflection interference technique.A II-VI semiconductor with 6mm point group has three independent nonlinear optical coefficients, d 15 , d 319 and d 33 . x Several calculations 2 ' 3 have suggested that additional symmetries exist among the components of the d tensor. For a lossless and dispersionless crystal, Kleinman 2 predicted d 15 =d 31 . Robinson, 3 using symmetry properties of isolated AB 4 tetrahedra, further predicted d 33 = -2d 31 . More recent calculations, 4 ' 5 based on Phillips's dielectric theory of electronegativity, 6,7 have yielded similar relations among the components of the d tensor. Levine 5 * 8 has calculated both the absolute magnitudes and signs of the nonlinear optical coefficients. These are in excellent agreement with experiment. 9 Recently, numerous experiments 10 " 12 and theory 13,14 have considered the dispersion of the nonlinear optical coefficients of 43m crystals in the region where 2MOJ is strongly absorbed. However, none of the theoretical and experimental results have dealt with crystals of 6mm symmetry in the absorption region. This paper will present the dispersion measurements of Id 33 1, \d 15 /d 31 \, and \d 33 /d 31 \ in the range where the second-harmonic photon energy 2H(JO is near and much larger than the exciton energy gaps of CdS and CdSe. The relative phases among d 15 , d 3l , and d 33 will also be presented at several wavelengths. Dispersion measurements of d coefficients in 6mm crystals will enable one to test the generality of the additional symmetry relations in the d tensor.The experimental arrangement and apparatus used in this investigation have been reported previously. 12 The tunable dye lasers 15 (0.7 to 1.0 |im) were pumped by a Q-switched ruby laser. The second-harmonic photons generated by transmission from the quartz monitor 16 and generated by reflection from the sample under study were detected by two photo multipliers (EMI 963 5QD). The two photocurrent outputs were digitized by a gated electronic pulse integrator which had the capability of accumulating data from successive laser pulses. The CdS and CdSe single crystals were oriented with their a axes as the face normal and their c axes in the crystal face. Since the generation of reflected second harmonic requires careful crystal preparation, the crystal surfaces were polished with Linde C, A, and B abrasives in succession and were then mildly etched. 17 The quality of the crystal surface was judged in two ways. First, the crystal surface had to have good mirrorlike reflection....

show abstract

Theorie der nichtstationären Anregung von Exziton‐Polaritonen durch Zweiphotonenabsorption

Ponath¹

1976

Annalen der Physik

View full text Add to dashboard Cite

I n ha1 tsiibersi c ht. Es wird eine Theorie der nichtstationiirenZweiphotonenabsorption, die durch einen ultrakurzen Laserimpuls mit der Dauer TL 5 (T Exzitonenniveau-Linienbreite) und einem inkohkenten Teststrahl angeregt wird, fur nichtlineare Piezokristalle mit einem isolierten dipolaktiven Exzitonenniveau entwickelt. Die .,mechanische" Response der Exzitonen sowie die unterschiedlichen Gruppengeschwindigkeiten von Polaritonen-, Pump-und Testfeldern werden bei der Berechnung der nichtstationiiren Polaritonen-und TestfeldstrahlungsfluDdichten beriicksichtigt, die raumliche Dispersion der mechanischen Exzitonenbewegung jedoch wird vernachliissigt. Am Beispiel des Rechteckimpulses fur das Pumpfeld werden die allgemeinen nichtstationiiren analytischen Losungen fur die Fiille gleicher und verschiedener Pump-und Testfeld-Gruppengeschwindigkeiten diskutiert. An Hand der Energie-und Quasiimpulserhaltungbsltze und mit den Dispersidnsbeziehungen werden fiir einachsige Kristalle die verschiedenen moglichen Zweiphotonenabsorptionsvarianten veranschaulicht.A b s t r a c t . A theory of nonstationary two-photon absorption for nonlinear non-centrosymmetric crystals is presented. The time-dependent radiation flux density of the generated polariton beam is calculated under the condition of an ultrashort laser pulse duration TL 5 P' (1" is the exciton line width) and a stationary incoherent test field. The "mechanical" response of the excitons and different group velocities of the polariton and the laser and test fields are taken into account, the spatial dispersion of the exciton motion being neglected. With a rectangular laser pulse shape the analytically nonstationary solutions are discussed for identical and for different group velocities of laser and test fields. Using the conservation laws for energy and quasimomentum we illustrate, by considering the polariton dispersion branches, the various possible cases of two-photon absprption in uiiiaxial piezocrystals. EinleitungDie in den Arbeiten [ 1-41 entwickelten und init Experimenten belegten stationaren

show abstract

Nonlinear Electronic Dispersion in CuCl

Cited by 56 publications

References 8 publications

Effects of the isotopic composition on the fundamental gap of CuCl

Effects of the isotopic composition on the fundamental gap of CuCl

Dispersion of Nonlinear Optical Susceptibilities in Hexagonal II-VI Semiconductors

Theorie der nichtstationären Anregung von Exziton‐Polaritonen durch Zweiphotonenabsorption

Contact Info

Product

Resources

About