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The Low-Energy Fixed Points of Random Quantum Spin Chains | | E. Westerberg
; A. Furusaki
; M. Sigrist
; P. A. Lee
; | | Date: |
22 Oct 1996 | | Journal: | Phys. Rev. B 55 (1997) 12578 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/9610156 | | Services: | Forum | Review | PDF | Favorites | |
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