Vortex confinement transitions in the modified Goldstone model

Michikazu Kobayashi, Gergely Fejos, Chandrasekhar Chatterjee, Muneto Nitta

研究成果: Article査読

8 被引用数 (Scopus)


The modified XY model is a variation of the XY model extended by a half-period term, exhibiting a rich phase structure. As the Goldstone model, also known as the linear O(2) model, can be obtained as a continuum and regular model for the XY model, we define the modified Goldstone model as that of the modified XY model. We construct a vortex, a soliton (domain wall), and a molecule of two half-quantized vortices connected by a soliton as regular solutions of this model. Then we investigate its phase structure in two Euclidean dimensions via the functional renormalization group formalism and full numerical simulations. We argue that the field dependence of the wave function renormalization factor plays a crucial role in the existence of the line of fixed points describing the Berezinskii-Kosterlitz-Thouless (BKT) transition, which can ultimately terminate not only at one but at two end points in the modified model. This structure confirms that a two-step phase transition of the BKT and Ising types can occur in the system. We compare our renormalization group results with full numerical simulations, which also reveal that the phase transitions show a richer scenario than expected.

ジャーナルPhysical Review Research
出版ステータスPublished - 2020 1月

ASJC Scopus subject areas

  • 物理学および天文学(全般)


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