Interspecimen Comparison of the Refractive Index of Fused Silica*,†

Malitson, Irving H.

doi:10.1364/josa.55.001205

Cited by 3,534 publications

(1,516 citation statements)

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“…from Ref. 20. We found that 200 Lorentzians were adequate to fit the relatively smooth reflectance spectra.…”

Section: S4 Conversion Of the Reflectance Spectrum To The Absorptionmentioning

confidence: 80%

“…It shows pronounced absorption peaks from excitonic transitions, rather than the steps that would be expected for absorption arising from band-to-band transitions in 2D. The two features, known as the A (~ 1.92 eV) and B (~ 2.08 eV) excitons 2,3,20 , are associated with direct optical transitions from the highest spin-split valence bands to the lowest conduction bands. These transitions are significantly modified by strong Coulomb interactions between the photogenerated electron-hole pairs and the corresponding formation of bound excitons.…”

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confidence: 90%

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Tightly bound trions in monolayer MoS2

Mak¹,

He²,

Lee³

et al. 2012

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Two-dimensional (2D) atomic crystals, such as graphene and transition-metal dichalcogenides, have emerged as a new class of materials with remarkable physical properties 1 . In contrast to graphene, monolayer MoS 2 is a non-centrosymmetric material with a direct energy gap 2-5 . Strong photoluminescence 2,3 , a current on-off ratio exceeding 10 8 in field-effect transistors 6 , and efficient valley and spin control by optical helicity 7-9 have recently been demonstrated in this material. Here we report the spectroscopic identification in doped monolayer MoS 2 of tightly bound negative trions, a quasi-particle composed of two electrons and a hole. These quasiparticles, which can be created with valley and spin polarized holes, have no analogue in other materials. They also possess a large binding energy (~ 20 meV), rendering them significant even at room temperature. Our results open up new avenues both for fundamental studies of many-body interactions and for optoelectronic and valleytronic applications in 2D atomic crystals.The trion binding energy that we observe in monolayer MoS 2 is nearly an order of magnitude larger than that found in conventional quasi-2D systems, such as semiconductor quantum wells (QWs) [10][11][12][13] . This is a consequence of the greatly enhanced Coulomb interactions in monolayer MoS 2 , arising from reduced dielectric screening in gapped 2D crystals and the relatively heavy carrier band masses associated with the Mo d-manifolds 4,5,14 . For an electron density as high as n = 10 11 cm -2 , for instance, the dimensionless interaction parameter r s is ~60 in monolayer MoS 2 (Supplementary Information S1). This value is significantly larger than that for carriers in QWs even at very low doping levels 15 . Monolayer MoS 2 is a strongly interacting system even in the presence of relatively high carrier densities; it thus presents an ideal laboratory for exploring many-body phenomena, such as carrier multiplication and Wigner crystallization 16 .The atomic structure of MoS 2 consists of hexagonal planes of S and Mo atoms in a trigonal prismatic structure (Fig. 1a) 17 . The two sublattices of the hexagonal MoS 2 structure are occupied, respectively, by one Mo and two S atoms (Fig. 1b). Monolayer MoS 2 is a direct gap semiconductor with energy gaps located at the K and K' points of the Brillouin zone (Fig. 1c). Both the highest valence bands and the lowest conduction bands are formed primarily from the Mo d-orbitals 4,17 . The large spin-orbit interaction 2 splits the highest valence bands at the K (K') point by ~ 160 meV 2,3,7,14,18 . The valley and spin (VS) degrees are coupled because of the lack of inversion symmetry in monolayer MoS 2 . As has been recently shown experimentally, this allows optical pumping of a single valley (and spin) with circularly polarized light 7-9 .Here we investigate the optical response of monolayer MoS 2 as a function of carrier density by means of absorption and photoluminescence (PL) spectroscopy. In our investigations we have made use of MoS 2 monolayers p...

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“…from Ref. 20. We found that 200 Lorentzians were adequate to fit the relatively smooth reflectance spectra.…”

Section: S4 Conversion Of the Reflectance Spectrum To The Absorptionmentioning

confidence: 80%

mentioning

confidence: 90%

Tightly bound trions in monolayer MoS2

Mak¹,

He²,

Lee³

et al. 2012

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“…This gives a target thickness difference of 321 nm (for a refractive index of silicon of 3.48 26 ). Given the slight error in etch depth; the actual thickness difference is 310 nm, which is still sufficient to obtain high contrast images.…”

Section: Imaging Lens Systemsmentioning

confidence: 99%

Quantum imaging with undetected photons

Lemos

Borish

Cole

et al. 2014

Nature

620

474

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SUMMARYIndistinguishable quantum states interfere, but the mere possibility of obtaining information that could distinguish between overlapping states inhibits quantum interference. Quantum interference imaging can outperform classical imaging or even have entirely new features.Here, we introduce and experimentally demonstrate a quantum imaging concept that relies on the indistinguishability of the possible sources of a photon that remains undetected. Our experiment uses pair creation in two separate down-conversion crystals. While the photons passing through the object are never detected, we obtain images exclusively with the sister photons that do not interact with the object. Therefore the object to be imaged can be either opaque or invisible to the detected photons. Moreover, our technique allows the probe wavelength to be chosen in a range for which suitable sources and/or detectors are unavailable. Our experiment is a prototype in quantum information where knowledge can be extracted by and about a photon that is never detected.2

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“…The dispersion in the linear refractive index, n 0 (ω), can be calculated from the Sellmeier equation for fused silica. [82] With the dispersion of the probe pulse included, Eqs. 2:19-20 can only be solved numerically, which we have done by using the Fourier-transform-based splitoperator beam-propagation technique, [83] see section 2.1.6.…”

Section: Cross Phase Modulationmentioning

confidence: 99%

“…1 in paper II, maybe with the exception of the highest pump intensity of 270 GW/cm 2 , that the agreement between experiment and simulations are quite good. In particular when it is realized that most of the input to the simulations, such as the description of the pump and probe pulses, the absolute values for the intensities, and the values of n 0 [82] and [108] , are either directly derived from experiments or taken from the literature. The only two parameters which are allowed to vary freely in order to achiever agreement between theory and experiment are the real and imaginary parts of the fifth order non-linear susceptibility, [109] for a WG360 Schott glass filter.…”

mentioning

confidence: 99%

Time-Resolved Laser Spectroscopy

Ekvall¹

Laser Spectroscopy

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Interspecimen Comparison of the Refractive Index of Fused Silica*,†

Cited by 3,534 publications

References 3 publications

Tightly bound trions in monolayer MoS2

Tightly bound trions in monolayer MoS2

Quantum imaging with undetected photons

Time-Resolved Laser Spectroscopy

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