Distribution of the Local Density of States, Reflection Coefficient, and Wigner Delay Time in Absorbing Ergodic Systems at the Point of Chiral Symmetry
Abstract
Employing the chiral Gaussian unitary ensemble of random matrices, we calculate the probability distribution of the local density of states for zerodimensional (”quantum chaotic”) twosublattice systems at the point of chiral symmetry E=0 and in the presence of uniform absorption. The obtained result can be used to find the distributions of the reflection coefficient and of the Wigner time delay for such systems.
 Publication:

Physical Review Letters
 Pub Date:
 February 2004
 DOI:
 10.1103/PhysRevLett.92.084103
 arXiv:
 arXiv:condmat/0310149
 Bibcode:
 2004PhRvL..92h4103F
 Keywords:

 05.45.Mt;
 11.30.Rd;
 Quantum chaos;
 semiclassical methods;
 Chiral symmetries;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 4 pages, 3 figures