Random antiphase state and frustration in two dimensions
Open Access
- 1 January 1982
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 43 (10), 347-354
- https://doi.org/10.1051/jphyslet:019820043010034700
Abstract
The phase diagram of the frustration model of random interactions ± J between nearest neighbour Ising spins on a square lattice is studied in the (T, x) plane : T temperature, x concentration of antiferromagnetic interactions. At T = 0 K exact ground states are generated by a new algorithm of graph theory and maps of rigid bonds or solidary spins for all ground states are obtained. At intermediate x it is found a new phase made up of erratic magnetic walls (lines). At T ≠ 0 K a simple renormalization group approach confirms the existence of the random antiphase stateKeywords
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