TY - JOUR
T1 - Continued-fraction technique for tight-binding Hamiltonians
T2 - A generalized-moments method
AU - Lambin, Philippe
AU - Gaspard, Jean-Pierre
PY - 1982
Y1 - 1982
N2 - The tight-binding scheme has been largely used in the description of the electronic properties of disordered systems. Several direct-space techniques of calculation have been developed in order to compute the density of electronic states; among those the moments method and the recursion scheme have become popular. We discuss both of them and we propose a new method that interpolates between these two techniques. It is based on the calculations of generalized moments. We show that the generalized-moments method shares the advantages of both methods and avoids their difficulties.
AB - The tight-binding scheme has been largely used in the description of the electronic properties of disordered systems. Several direct-space techniques of calculation have been developed in order to compute the density of electronic states; among those the moments method and the recursion scheme have become popular. We discuss both of them and we propose a new method that interpolates between these two techniques. It is based on the calculations of generalized moments. We show that the generalized-moments method shares the advantages of both methods and avoids their difficulties.
U2 - 10.1103/PhysRevB.26.4356
DO - 10.1103/PhysRevB.26.4356
M3 - Article
SN - 0163-1829
VL - 26
SP - 4356
EP - 4368
JO - Physical review. B, Condensed matter
JF - Physical review. B, Condensed matter
ER -