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Ising model in a quasiperiodic transverse field,percolation, and contact processes in quasiperiodic environments |
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| Authors: | Svetlana Jitomirskaya Abel Klein |
| Institution: | (1) Department of Mathematics, University of California, 92717 Irvine, California |
| 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. |
| Keywords: | Quantum Ising model in quasiperiodic transverse field percolation and contact processes in quasiperiodic environments quasiperiodic disorder |
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