Generalized BKT Transitions and Persistent Order on the Lattice
| Autor: | Berkowitz, Evan, Buesing, Seth, Chen, Shi, Cherman, Aleksey, Sen, Srimoyee |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The BKT transition in low-dimensional systems with a $U(1)$ global symmetry separates a gapless conformal phase from a trivially gapped, disordered phase, and is driven by vortex proliferation. Recent developments in modified Villain discretizations provide a class of lattice models which have a $\mathbb{Z}_W$ global symmetry that counts vortices mod W, mixed 't Hooft anomalies, and persistent order even at finite lattice spacing. While there is no fully-disordered phase (except in the original BKT limit $W=1$) there is still a phase boundary which separates gapped ordered phases from gapless phases. I'll describe a numerical Monte Carlo exploration of these phenomena. Comment: 7 pages, 2 figures, proceedings for LATTICE 2024 |
| Databáze: | arXiv |
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