Extension of the Pirogov-sinai Theory to a Class of Quasiperiodic Interactions

Koukiou, F.; Petritis, D.; Zahradnik, M.

doi:10.1007/BF01466722

Extension of the Pirogov-sinai Theory to a Class of Quasiperiodic Interactions

Sep, 1987

30 pages

Published in:

Commun.Math.Phys. 118 (1988) 365

DOI:

10.1007/BF01466722

Report number:

Print-87-0773

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Abstract: (Springer)

We extend the Pirogov-Sinai theory in such a manner that it applies to a large class of models with small quasiperiodic interactions as perturbations of periodic ones. We find general diophantine conditions on the frequency module of the quasiperiodic interactions and derivability conditions on the interaction potentials. These conditions allow to prove that the low temperature phase diagram is a homeomorphic deformation of the phase diagram at zero temperature.

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