The Low-Energy Fixed Points of Random Quantum Spin Chains

Details The Low-Energy Fixed Points of Random Quantum Spin Chains The Low-Energy Fixed Points of Random Quantum Spin Chains

1996-10-22

arxiv.org/abs/cond-mat/9610156v1

Phys. Rev. B 55 (1997) 12578

Physics

Condensed Matter

Statistical Mechanics

19 pages, REVTeX, 13 figures

Scientific paper

10.1103/PhysRevB.55.12578

The one-dimensional isotropic quantum Heisenberg spin systems with random couplings and random spin sizes are investigated using a real-space renormalization group scheme. It is demonstrated that these systems belong to a universality class of disordered spin systems, characterized by weakly coupled large effective spins. In this large-spin phase the uniform magnetic susceptibility diverges as 1/T with a non-universal Curie constant at low temperatures T, while the specific heat vanishes as T^delta |ln T| for T->0. For broad range of initial distributions of couplings and spin sizes the distribution functions approach a single fixed-point form, where delta \approx 0.44. For some singular initial distributions, however, fixed-point distributions have non-universal values of delta, suggesting that there is a line of fixed points.

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