Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model
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...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 August 2019
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| In: |
Journal of physics. A, Mathematical and theoretical
Year: 2019, Volume: 52, Issue: 34, Pages: ? |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8121/ab31c5 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1088/1751-8121/ab31c5
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| Author Notes: | N. Defenu, V. Bacso, I.G. Marian, I. Nandori, and A. Trombettoni |
| Summary: | 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 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 sit one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given. |
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| Item Description: | Gesehen am 29.08.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8121/ab31c5 |