BerezinskiiKosterlitzThouless transition and criticality of an elliptic deformation of the sineGordon model
Abstract
We introduce and study the properties of a periodic model interpolating between the sine and the sinhGordon theories in $1+1$ dimensions. This model shows the peculiarities, due to the preservation of the functional form of their potential across RG flows, of the two limiting cases: the sineGordon, not having conventional order/magnetization at finite temperature, but exhibiting BerezinskiiKosterlitzThouless (BKT) transition; and the sinhGordon, not having a phase transition, but being integrable. The considered interpolation, which we term as {\em snGordon} model, is performed with potentials written in terms of Jacobi functions. The critical properties of the snGordon theory are discussed by a renormalizationgroup approach. The critical points, except the sinhGordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given.
 Publication:

arXiv eprints
 Pub Date:
 June 2017
 DOI:
 10.48550/arXiv.1706.01444
 arXiv:
 arXiv:1706.01444
 Bibcode:
 2017arXiv170601444D
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics
 EPrint:
 v2, 10 pages, 8 figures, accepted in J. Phys. A