Composite Fermions with Spin Freedom

General rule for the composite fermion transformation, when the spins of the electrons are not polarized is derived. Condition for the quantum phase transition between various spin states is obtained based on the rule. This rule gives foundation for the experimental determination of the mass and $g$-factor of the composite fermion.Comment: 5 pages with 1 ps figure, Revtex, to be published in J. Phys. Soc. Jpn. Vol.68 No.10. Misprints are correcte

Tomonaga-Luttinger-Liquid Theory of Metallic Carbon Nanotubes with Open Boundaries

Tomonaga-Luttinger-liquid theory is formulated for metallic carbon nanotubes with open boundaries. Both cases of single- and multi-wall nanotubes are discussed. Based on this theory, spatial variation of the charge density from an edge is investigated with taking account of the shift of the chemical potential which expresses the carrier injection to the nanotube. The charge density has the spatially independent part and the oscillatory component. Roles of Coulomb interaction on the amplitude of the oscillation, the wavenumbers of it and the uniform component of the charge density are clarified.Comment: 14 pages, 4 figures, to be published in J. Phys. Soc. Jpn. Vol. 71 (2002) No.1

Edge State Transport of Separately Contacted Bilayer Systems in the Fractional Quantum Hall Regime

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the interlayer Coulomb interaction is negligibly small. It is shown that source-drain voltage dependence of the resistances reflects the Luttinger liquid parameter of the edge state.Comment: 3 pages with 2 eps figure, Revtex, contributed paper to EP2DS-1

Transports of Disordered Carbon Nanotubes with Long Range Coulomb Interaction

Transport properties of disordered carbon nanotubes are investigated with including long range Coulomb interactions. The resistivity and optical conductivity are calculated by using the memory functional method. In addition, the effect of localization is taken into account by use of the renormalization group analysis and it is shown that the backward scattering of the intra-valley and that of the inter-valley cannot coexist in the localized regime.Comment: 4 pages, 2 figures, epsf.sty, submitted to Phys. Rev.