Magnetic field of the energy position of the luminescence These haveīeen determined from the discontinuous dependence on The FQHE gaps at v - }, j, f, f, f, T, f ,and f in Here we report the first optical measurements of Gaps, this has so far not been achieved in a GaAs structure. Measurements allowed determination of the quasiparticle Quantum wells.11 Although in the Si-MOSFETs the Undertaken on Si-MOSFETs (metal-oxide-semiconductor field-effect transistors) 10 and then in GaAs/AlGaAs Optical measurements in the FQHE regime were first Gaps by means of magneto-optics which is much less sensitive to localization. Small v these measurements become extremely difficultĭue to strong localization at low temperatures and high That of the quantum fluid.2,3 So far, observation4 of thisĬhangeover has proved contro versial and fractional statesĭown to v = y have been detected.5 The usual methodįor experimental determination of the FQHE gaps is activated magnetotransport.6"9 However, in the region of Liquid-to-solid transition should occur when the groundstate energy of the Wigner crystal becomes lower than Gaps provide a rigorous test of the theories, which also l~3 Experimental measurements of these energy Where ns is the 2D density, H is a perpendicular magnetic field, and p,q are integers with q odd) with quasiparticle excitations separated from the ground state by energy Quantum fluids at filling factors v=p/q (v = hns/eH, Two-dimensional (2D) electrons into incompressible Understood to occur as a result of condensation of the The fractional quantum Hall effect (FQHE) is now State, and thereby evaluate the energy gaps at fractional filling factors down to f. Of the chemical potential due to condensation of the 2D electrons into an incompressible Fermi-liquid We associate these energy-position shifts with discontinuous behavior Line corresponding to 2D electron-hole recombination in GaAs/AlGaAs heterojunctions at filling factors Service National des Champs Intenses, Centre National de la Recherche Scientifique,ĭiscontinuities have been observed in the energy dependence on magnetic field of the luminescence ^Institute for Solid State Physics, Academy of Sciences of the USSR., 142432, Chernogolovka, U.S.S.R. Max -Planck -Institut fiir Festkorperforschung, D-7000 Stuttgart 80, Federal Republic of Germany Max-Planck-Institut fur Festkorperforschung, Hochfeld-Magnetlabor, BP 166X, F-38042 Grenoble CEDEX, France Magneto-optical Evidence for Fractional Quantum Hall States down to Filling Factor 9H.
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