LOW-ENERGY FIXED-POINTS OF RANDOM QUANTUM SPIN CHAINS

Citation
E. Westerberg et al., LOW-ENERGY FIXED-POINTS OF RANDOM QUANTUM SPIN CHAINS, Physical review. B, Condensed matter, 55(18), 1997, pp. 12578-12593
Citations number
31
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
55
Issue
18
Year of publication
1997
Pages
12578 - 12593
Database
ISI
SICI code
0163-1829(1997)55:18<12578:LFORQS>2.0.ZU;2-Y
Abstract
The one-dimensional isotropic quantum Heisenberg spin systems with ran dom couplings and random spin sizes are investigated using a real-spac e renormalization-group scheme. It is demonstrated that these systems belong to a universality class of disordered spin systems, characteriz ed by weakly coupled large effective spins. In this large-spin phase t he uniform magnetic susceptibility diverges as T-1 with a nonuniversal Curie constant at low temperatures T, while the specific heat vanishe s as T-/alpha//lnT/ for T-->0. For a broad range of initial distributi ons of couplings and spin sizes the distribution functions approach a single fixed-point form, where alpha(approximate to) -0.44. For some s ingular initial distributions, however, the fixed-point form of distri butions becomes nonuniversal, suggesting that there is a line of fixed points.