Random Bonds and Topological Stability in Gapped Quantum Spin Chains
- 29 January 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 76 (5) , 839-842
- https://doi.org/10.1103/physrevlett.76.839
Abstract
Using an asymptotically exact real space renormalization procedure, we find that the dimerized spin-1/2 chain is extremely stable against bond randomness. For weak dimerization or, equivalently, strong randomness, it is in a Griffiths phase with short-range spin-spin correlations and a divergent susceptibility. The string topological order persists. We conjecture that random integer spin chains in the Haldane phase exhibit similar thermodynamic and topological properties.Keywords
All Related Versions
This publication has 22 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- Doping Induced Quantum Bound States within the Haldane GapPhysical Review Letters, 1995
- Critical behavior of random transverse-field Ising spin chainsPhysical Review B, 1995
- Random successive growth model for pattern formationPhysical Review E, 1995
- Random antiferromagnetic quantum spin chainsPhysical Review B, 1994
- Ground States of Low-Dimensional Quantum AntiferromagnetsPhysical Review Letters, 1988
- Scaling Studies of Highly Disordered Spin-½ Antiferromagnetic SystemsPhysical Review Letters, 1982
- Low-temperature magnetism of quinolinium, a random-exchange Heisenberg antiferromagnetic chain. I. Static propertiesPhysical Review B, 1981
- Low-temperature properties of the random Heisenberg antiferromagnetic chainPhysical Review B, 1980
- On Next-Nearest-Neighbor Interaction in Linear Chain. IJournal of Mathematical Physics, 1969