Work

Two dimensional Villain model in the BKT phase

Year: 2026

Type: preprint

Abstract: We establish sharp two-point function asymptotics for the two dimensional Villain model at sufficiently low temperatures, confirming a central prediction in the Berezinskii-Kosterlitz-Thouless theory. We characterise the power law exponent through the renormalisation group flow of a marginal line defect observable in the dual high-temperature Discrete Gaussian model.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.10083

Authors: Park, Jiwoon, Wu, Wei

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: New York University Shanghai, National Natural Science Foundation of China, National Research Foundation of Korea, Korea Advanced Institute of Science and Technology, Ministry of Science and ICT, South Korea

Award: G3310507423

OpenAlex ID: W7220921216

Cites: 7

Cited by:

Related to: 10