B. Ammon et M. Sigrist, Monte Carlo study of the separation of energy scales in quantum spin 1/2 chains with bond disorder, J PHYS JPN, 68(3), 1999, pp. 1018-1024
One-dimensional Heisenberg spin 1/2 chains with random ferro- and antiferro
magnetic bonds are realized in systems such as Sr3CuPt1-xIrxO6. We have inv
estigated numerically the thermodynamic properties of a generic random bond
model and of a realist ic model of Sr3CuPt1-xIrxO6 by the quantum Monte Ca
rlo loop algorithm. For the first time we demonstrate the separation into t
hree different temperature regimes for the original Hamiltonian based on an
exact treatment, especially we show that the intermediate temperature regi
me is well-defined and observable in both the specific heat and the magneti
c susceptibility The crossover between the regimes is indicated by peaks in
the specific heat. The uniform magnetic susceptibility shows Curie-like be
havior in the high-, intermediate- and low-temperature regime, with differe
nt values of the Curie constant in each regime. We show that these regimes
are overlapping in the realistic model and give numerical data for the anal
ysis of experimental tests.