تقرير
Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model
| العنوان: | Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model |
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| المؤلفون: | Defenu, N., Bacsó, V., Márián, I. G., Nándori, I., Trombettoni, A. |
| سنة النشر: | 2017 |
| المجموعة: | Condensed Matter High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics |
| الوصف: | We introduce and study the properties of a periodic model interpolating between the sine-- and the sinh--Gordon 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 sine-Gordon, not having conventional order/magnetization at finite temperature, but exhibiting Berezinskii-Kosterlitz-Thouless (BKT) transition; and the sinh-Gordon, not having a phase transition, but being integrable. The considered interpolation, which we term as {\em sn-Gordon} model, is performed with potentials written in terms of Jacobi functions. The critical properties of the sn-Gordon theory are discussed by a renormalization-group approach. The critical points, except the sinh-Gordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given. Comment: v2, 10 pages, 8 figures, accepted in J. Phys. A |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1706.01444 |
| رقم الأكسشن: | edsarx.1706.01444 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |