Random Exchange Quantum Heisenberg Chains

Details Random Exchange Quantum Heisenberg Chains Random Exchange Quantum Heisenberg Chains

1995-07-20

arxiv.org/abs/cond-mat/9507083v1

Physics

Condensed Matter

13 pages, RevTex, 12 figures available on request (furusaki@mit.edu)

Scientific paper

10.1103/PhysRevB.52.15930

The one-dimensional quantum Heisenberg model with random $\pm J$ bonds is studied for $S=\frac{1}{2}$ and $S=1$. The specific heat and the zero-field susceptibility are calculated by using high-temperature series expansions and quantum transfer matrix method. The susceptibility shows a Curie-like temperature dependence at low temperatures as well as at high temperatures. The numerical results for the specific heat suggest that there are anomalously many low-lying excitations. The qualitative nature of these excitations is discussed based on the exact diagonalization of finite size systems.

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