“…21 The quantum mobility Q i of carriers in each miniband and from the Tamm state were obtained from the damping of the SdH amplitudes at 4.2 K, using the procedure described in Ref. 9. The in-plane effective mass m i for the ith electron species-miniband (iϭMB) and Tamm (iϭT) electronswas determined from the temperature dependence of the SdH oscillations for a magnetic field applied perpendicular to the layers, as described in Ref.…”
Section: B Experimental Resultsmentioning
confidence: 99%
“…The screening of the scattering potential is treated in the random phase approximation ͑RPA͒, which has been previously applied to multisubband systems with success. 8,9 The electronic scattering and momentum relaxation times are studied as a function of the number of layers in the superlattice, the thickness of the layers, the density of dopants, and the spatial distribution of the doping atoms. To maximize the electronic mobility, the doping atoms are placed in the middle of the potential barriers separating the wells.…”
The electronic scattering and momentum relaxation times for the individual levels in finite short-period modulation-doped superlattices were calculated, using the random phase approximation ͑RPA͒ to describe the screened electron-defect interactions. To obtain the highest possible electronic mobility, the donor impurities were placed in the middle of the barriers separating the wells. If the impurities are displaced from their ideal positions, the electronic mobility decreases. To evaluate the theory, measurements of the scattering and momentum relaxation times were done on InP/In 0.53 Ga 0.47 As superlattices. Whereas theory and experiment agree fairly well on the values of the scattering times, the agreement on the momentum relaxation times is only in order of magnitude. This is attributed to the inexactness of the screened potential in the RPA at short distances from the scattering centers.
“…21 The quantum mobility Q i of carriers in each miniband and from the Tamm state were obtained from the damping of the SdH amplitudes at 4.2 K, using the procedure described in Ref. 9. The in-plane effective mass m i for the ith electron species-miniband (iϭMB) and Tamm (iϭT) electronswas determined from the temperature dependence of the SdH oscillations for a magnetic field applied perpendicular to the layers, as described in Ref.…”
Section: B Experimental Resultsmentioning
confidence: 99%
“…The screening of the scattering potential is treated in the random phase approximation ͑RPA͒, which has been previously applied to multisubband systems with success. 8,9 The electronic scattering and momentum relaxation times are studied as a function of the number of layers in the superlattice, the thickness of the layers, the density of dopants, and the spatial distribution of the doping atoms. To maximize the electronic mobility, the doping atoms are placed in the middle of the potential barriers separating the wells.…”
The electronic scattering and momentum relaxation times for the individual levels in finite short-period modulation-doped superlattices were calculated, using the random phase approximation ͑RPA͒ to describe the screened electron-defect interactions. To obtain the highest possible electronic mobility, the donor impurities were placed in the middle of the barriers separating the wells. If the impurities are displaced from their ideal positions, the electronic mobility decreases. To evaluate the theory, measurements of the scattering and momentum relaxation times were done on InP/In 0.53 Ga 0.47 As superlattices. Whereas theory and experiment agree fairly well on the values of the scattering times, the agreement on the momentum relaxation times is only in order of magnitude. This is attributed to the inexactness of the screened potential in the RPA at short distances from the scattering centers.
“…In our experiments (B < 17 T), whereas condition (1) is satisfied for electrons belonging to miniband E 1 , it is not satisfied for electrons belonging to miniband E 2 in samples 207 and 200, and only weakly satisfied for sample 206. In addition, an electron in miniband E 2 has a smaller uncertainty in its k-vector than an electron from miniband E 1 , since the former is less frequently scattered [14], which also favours it being Bragg reflected at the minizone boundary, in contrast to electrons from miniband E 1 (the link between uncertainty in k-vector and magnetic breakdown is discussed in [15]). This explains why cyclotron orbits associated with electrons confined to miniband E 2 are always observed in our samples.…”
Section: Resultsmentioning
confidence: 99%
“…Electrons in miniband E 2 will be distinguishable from those in E 1 only if this energy gap is larger than the energy level broadening. The energy level broadening in single and periodically delta-doped structures has been studied both experimentally [14,20] and theoretically [14,21,22], and for E 2 electrons in periodically delta-doped InP with a carrier density of n S = 5×10 12 cm −2 per period the level width is approximately 10 meV [14]. Our self-consistent calculations show that for the same carrier density the energy gap between E 1 and E 2 minibands is greater than 10 meV only if d is greater than about 50 Å.…”
The cyclotron mass in periodically delta-doped InP was studied, using the temperature dependence of the Shubnikov-de Haas (SdH) effect in tilted magnetic fields. The samples had two populated minibands, E 1 and E 2 , both of which contributed with oscillatory components to the SdH spectrum. When the magnetic field is tilted from the direction parallel to the axis of the superlattice, the cyclotron mass associated with E 1 electrons increases, as expected for a quasi-two-dimensional system. In contrast, the cyclotron mass of E 2 electrons decreases. This decrease is due to Bragg reflections of electrons by the superlattice, which lead to shorter orbits when the magnetic field is tilted. It is estimated that in periodically delta-doped semiconductors the cyclotron mass can decrease at most by a factor of three when the magnetic field is rotated by π/2.
“…1,2 From a fundamental point of view, ␦-doped layers provide interesting systems for studying the fundamental properties of a two-dimensional carrier gas in the limit of strong coupling with the ionized impurities of the ␦-doped layers. Although several theoretical and experimental works have already been devoted to the study of the fundamental properties of single, [3][4][5] double, 6,7 and multiple ␦-doped (M␦D) layers, [8][9][10][11][12][13][14][15][16][17][18][19][20] in GaAs most of them were related to n-type ␦-doped layers. Little is known about the relevant mechanisms that limit the mobility of the two-dimensional hole gas ͑2DHG͒, as well as which ones control its temperature dependence in p-type M␦D GaAs layers.…”
A series of periodically spaced p-type ␦-doped GaAs(311)A layers, with a doping period varying from 100 to 500 Å, was investigated by Hall effect and photoluminescence measurements in the range of 2 up to 280 K. An enhancement of the Hall mobility by a factor of 5 was observed around 100 K for the structure with the largest period with respect to the one with the smallest period. Photoluminescence measurements carried out at different temperatures revealed that the physical origin of the mobility enhancement was related to the escape of confined holes from the two-dimensional hole gas to the undoped GaAs region between ␦-doped layers. Both optical and transport data provided strong evidence of the two-dimensional to three-dimensional transition related to the change from isolated ␦ wells to a superlattice of ␦ wells characterized by the formation of minibands.
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