Abstract
Quantum Ising models in a transverse field are related to continuous-time percolation processes whose oriented percolation versions are contact processes. We study such models in the presence of quasiperiodic disorder and prove localization in the ground state, no percolation, and extinction, respectively, for sufficiently large disorder.
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Jitomirskaya, S., Klein, A. Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. J Stat Phys 73, 319–344 (1993). https://doi.org/10.1007/BF01052763
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DOI: https://doi.org/10.1007/BF01052763