Competing binary and k-tuple interactions on a Cayley tree of arbitrary order
We study the phase diagram for the Ising model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp, and one-level k-tuple neighbor interaction Jo. The phase diagram is studied for several ranges of the competing param...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier BV * North-Holland
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/1/PhysicaA_Selman.pdf |
| Summary: | We study the phase diagram for the Ising model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp, and one-level k-tuple neighbor interaction Jo. The phase diagram is studied for several ranges of the competing parameters; it shows the appearance of several features and modulated phases arising from the frustration effects introduced by the one-level k-tuple neighbor interaction Jo. The variation of the wavevector with temperature in the modulate phase is studied in detail; it shows narrow commensurate steps between incommensurate
regions. Finally, the Lyapunov exponent associated with the trajectory of the system is investigated. |
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