https://doi.org/10.1140/epjb/e2002-00188-7
Dynamical linked cluster expansions with applications to disordered systems
1
School of Engineering and Science, International University Bremen, PO Box 750561,
28725 Bremen, Germany
2
Innovative Medical Technology Center, Falkenried 88, 20251 Hamburg, Germany
Corresponding author: a h.ortmanns@iu-bremen.de
Received:
13
December
2001
Published online:
25
June
2002
Dynamical linked cluster expansions are linked cluster expansions with hopping parameter terms endowed with their own dynamics. We discuss physical applications to systems with annealed and quenched disorder. Examples are the bond-diluted Ising model and the Sherrington-Kirkpatrick spin glass. We derive the rules and identify the full set of graphs that contribute to the series in the quenched case. This way it becomes possible to avoid the vague extrapolation from positive integer n to n=0, that usually goes along with an application of the replica trick.
PACS: 75.10.Nr – Spin-glass and other random models / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 02.10.-v – Logic, set theory, and algebra
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
