Critical behavior of pure and dilutedXYmodels with uniform frustrations
- 1 November 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 32 (9) , 5773-5775
- https://doi.org/10.1103/physrevb.32.5773
Abstract
A renormalization-group approach is used to investigate phase transitions in fully frustrated XY models on a square and a triangular lattice. The existence of long-range order associated with the discrete symmetry of the system is demonstrated. It is argued that there exists one transition which is a combination of a Kosterlitz-Thouless–like one for spins and an Ising-like one for chirality. In particular a nonuniversal jump in the helicity modulus is predicted. Dilute randomness is also considered and shown to be irrelevant to the critical behavior.Keywords
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