We show that scale-invariant scattering theory allows to exactly determine the critical points of two-dimensional systems with coupled O(N) and Ising order parameters. The results are obtained for N continuous and include criticality of the loop gas type. In particular, for N = 1 we exhibit three critical lines intersecting at the Berezinskii Kosterlitz Thouless transition point of the Gaussian model and related to the Z4 symmetry of the isotropic Ashkin Teller model. For N = 2 we classify the critical points that can arise in the XY-Ising model and provide exact answers about the critical exponents of the fully frustrated XY model.

Critical points of coupled vector-Ising systems. Exact results / Delfino, G.; Lamsen, N.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 52:35(2019), pp. 1-8. [10.1088/1751-8121/ab3055]

Critical points of coupled vector-Ising systems. Exact results

Delfino G.
;
Lamsen N.
2019-01-01

Abstract

We show that scale-invariant scattering theory allows to exactly determine the critical points of two-dimensional systems with coupled O(N) and Ising order parameters. The results are obtained for N continuous and include criticality of the loop gas type. In particular, for N = 1 we exhibit three critical lines intersecting at the Berezinskii Kosterlitz Thouless transition point of the Gaussian model and related to the Z4 symmetry of the isotropic Ashkin Teller model. For N = 2 we classify the critical points that can arise in the XY-Ising model and provide exact answers about the critical exponents of the fully frustrated XY model.
2019
52
35
1
8
35LT02
https://iopscience.iop.org/article/10.1088/1751-8121/ab3055/pdf
https://ui.adsabs.harvard.edu/abs/2019JPhA...52ILT02D/abstract
Delfino, G.; Lamsen, N.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/108594
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