New Universality Class in the S=1/2 Fibonacci Heisenberg Chains
arXiv:cond-mat/0403602 · doi:10.1103/PhysRevLett.93.037205
Abstract
Low energy properties of the S=1/2 antiferromagnetic Heisenberg chains with Fibonacci exchange modulation are studied using the real space renormalization group method for strong exchange modulation. It is found that the ground state of this model belongs to a new universality class with logarithmically divergent dynamical exponent which is neither like Fibonacci XY chains nor like XY chains with relevant aperiodicity.
arXiv comment4 pages, 3 figures
References in corpus (8)
- Formation of a quasiperiodic copper thin film
- Quantum Antiferromagnetism in Quasicrystals
- Correlated Fermions in a one-dimensional quasiperiodic potential
- Interacting fermions in self-similar potentials
- Quantum Spins and Quasiperiodicity: a real space renormalization group approach
- Density Matrix Renormalization Group Study of the S=1/2 Anisotropic Antiferromagnetic Heisenberg Chains with Quasiperiodic Exchange Modulation
- Quasi-periodic spin chains in a magnetic field
- Interplay between quasi-periodicity and disorder in quantum spin chains in a magnetic field
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