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Phase Transitions of Frustrated XY spins in Two Dimensions

M. Benakli·M. Gabay·W. M. Saslow
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Abstract

The row model is used to study the commensurate-incommensurate (C-IC) an isotropic (FFTXY) transitions of the frustrated 2D XY model on the triangular lattice. New relevant variables clarify the physics of these transitions: phase and chiral variables are coupled so that spin waves generate long range polar interactions. The resulting dielectric constan diverges at the transition. A single transition occurs for the FFTXY model; in the C-IC regime the Lifshitz point is at T=0 and the C phase i a Smectic-A like phase which disorders via a 2D nematic-smectic-A transition.

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M. Benakli, M. Gabay, W. M. Saslow. 1994-10-06. Phase Transitions of Frustrated XY spins in Two Dimensions. https://arxiv.org/abs/cond-mat/9410016

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