Correlations of the local density of states in quasionedimensional wires
Abstract
We report a calculation of the correlation function of the local density of states in a disordered quasionedimensional wire in the unitary symmetry class at a small energy difference. Using an expression from the supersymmetric sigma model, we obtain the full dependence of the twopoint correlation function on the distance between the points. In the limit of zero energy difference, our calculation reproduces the statistics of a single localized wave function. At logarithmically large distances of the order of the Mott scale, we obtain a reentrant behavior similar to that in strictly onedimensional chains.
 Publication:

Physical Review B
 Pub Date:
 May 2009
 DOI:
 10.1103/PhysRevB.79.205108
 arXiv:
 arXiv:0901.1914
 Bibcode:
 2009PhRvB..79t5108I
 Keywords:

 73.20.Fz;
 73.21.Hb;
 73.22.Dj;
 Weak or Anderson localization;
 Quantum wires;
 Single particle states;
 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 Published version. Minor technical and notational improvements. 16 pages, 1 figure