Journal of Physics Conference Series
Disorder and superconductivity in doped semiconductor nanotubes
Tomonori Shirakawa, Satoshi Nishimoto, Y. Ohta, Hiroyuki Fukuyama
Abstract
Finite-size systems of the one-dimensional attractive Hubbard model with random potential are studied as an effective model for doped semiconductor nanotubes. We calculate the binding energy of Cooper pairs and pair correlation function by the density-matrix renormalization group method. We show that, when the scattering potential is strong, there appears the ground state where Cooper pairs are formed but are localized spatially, with a decay length of pair correlation smaller than the system size. Experimental relevance is discussed.