ISSN:
1572-9613
Keywords:
Ising model
;
Cayley tree
;
devil's staircase
;
spin-glass
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study the phase diagram for the Ising Model on a Cayley tree with competing nearest-neighbor interactionsJ 1 and next-nearest-neighbor interactionsJ 2 andJ 3 in the presence of an external magnetic field. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular cases, previous works by Vannimenus and by Inawashiroet al. At vanishing temperature, the phase diagram is fully determined, for all values and signs ofJ 2/J 1 andJ 3/J 2; in particular, we verify that values ofJ 3/J 2 high enough favor the paramagnetic phase. At finite temperatures, several interesting features (evolution of reentrances, separation of the modulated region into two disconnected pieces, etc.) are exhibited for typical values ofJ 2/J 1 andJ 3/J 2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01017186
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