Physics Reports vol.168

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Buettiker: Phys. Rev. J. : Phys. Rev. Lett. B. I. I. Glazman: Phys. Rev. J. Beenakker: Phys. Rev Lett. H. Mac Donald: Phys. Rev. Lett. M. Luttinger: J. Math. Phys. 4, 1154 (1963) S. Tomonaga: Prog. Theor. Phys. G. Wen: Phys. Rev. B 43, 11025 (1991) Phys. Rev. Lett. 64, 2206 (1990) Phys. Rev. B 44, 5708 (1991) Int. Jour. Mod. Phys. B 6, 1711 (1992) H. Schulz: ‘Fermi liquids and non Fermi liquids’ in ‘Mesoscopic Quantum Physics’, Proceedings of the Les Houches Summer School of Theoretical Physics, Session LXI, 1994, E.

Found ∆ = gµB B + n↓ −n↑ 2 n↓ +n↑ e /(4πεε0 lm ) [15]. Here (n↓ − n↑ )/(n↓ + n↑ ) denotes the relative difference of the total population of spin down and spin up electrons. For even filling factor this is always zero and the enhancement vanishes. For odd filling factor ν = 2k + 1, the effect decreases as 1/(2k + 1). Indeed, the enhancement experimentally observed increases with magnetic field. Note that the correlation energy scale is the same as the one of the FQHE. Because of the spin degree of freedom, the possible excitations are not only charged excitations (electron-hole pairs), but also collective spin excitations or spin waves.

18 shows theoretical calculations of the differential conductance for various values of the parameter TB (the results of Ref. [65,66] have been used). We can see that, increasing the energy (the voltage or the temperature), leads to a progressive transition from the strong backscattering regime to the weak backscattering regime. Fig. 19 shows recent data obtained in our group for the conductance in the strong backscattering regime for ν = 1/3. e. G > 10−4 e2 /3h). The effective exponent deduced from a series of dI/dVds curves for different impurity strengths is compared with the effective one calculated using the finite temperature exact solution.

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