title: Green functions of interacting systems in the strongly localized regime.
abstract: We have developed an approach to calculate the single-particle Green function of a one-dimensional many-body system in the strongly localized limit at zero temperature. Our approach sums the contributions of all possible forward scattering paths in configuration space. We demonstrate that for fermions and nearest neighbors interactions the Green function factorizes at every link connecting two sites with the same occupation. As a consequence, the conductance distribution function for interacting systems is log-normal, in the same universality class as non-interacting systems. We have developed a numerical procedure to calculate the ground state and the Green function, generating all possible paths in configuration space. Our results agree with results obtained by exact diagonalization of small systems in the limit of large disorder.
authors.affiliation: Departamento de Física-CIOyN, Universidad de Murcia, Murcia 30.071, Spain.
authors.forename: A M
authors.initials: AM
authors.lastname: Somoza
authors.forename: M
authors.initials: M
authors.lastname: Ortuño
authors.forename: V
authors.initials: V
authors.lastname: Gasparian
authors.forename: M
authors.initials: M
authors.lastname: Pino