caa a22 4500 445320419 CHVBK 20180317142702.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00023-011-0112-5 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0112-5 Anderson Localization for a Class of Models with a Sign-Indefinite Single-Site Potential via Fractional Moment Method [Elektronische Daten] [Alexander Elgart, Martin Tautenhahn, Ivan Veselić] A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a random Hamiltonian on a lattice whose randomness is generated by the sign-indefinite single-site potential, which is however sign-definite at the boundary of its support. For this class of Anderson operators, we establish a finite-volume criterion which implies that the fractional moment decay property holds. This constructive criterion is satisfied at typical perturbative regimes, e.g. at spectral boundaries which satisfy "Lifshitz tail estimates” on the density of states and for sufficiently strong disorder. We also show how the fractional moment method facilitates the proof of exponential (spectral) localization for such random potentials. Springer Basel AG, 2011 Elgart Alexander 448 Department of Mathematics, McBryde Hall, Virginia Tech, 24061, Blacksburg, VA, USA aut Tautenhahn Martin Technische Universität Chemnitz, Fakultät für Mathematik, 09107, Chemnitz, Germany aut Veselić Ivan Technische Universität Chemnitz, Fakultät für Mathematik, 09107, Chemnitz, Germany aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/8(2011-12-01), 1571-1599 1424-0637 12:8<1571 2011 12 23 https://doi.org/10.1007/s00023-011-0112-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0112-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elgart Alexander 448 Department of Mathematics, McBryde Hall, Virginia Tech, 24061, Blacksburg, VA, USA aut NATIONALLICENCE 700 1- Tautenhahn Martin Technische Universität Chemnitz, Fakultät für Mathematik, 09107, Chemnitz, Germany aut NATIONALLICENCE 700 1- Veselić Ivan Technische Universität Chemnitz, Fakultät für Mathematik, 09107, Chemnitz, Germany aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/8(2011-12-01), 1571-1599 1424-0637 12:8<1571 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer