Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
Ville Pietil\"a, Tapio P. Simula, and Mikko M\"ott\"onen

TL;DR
This paper investigates finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases, focusing on the role of half-quantum vortices and skyrmions in the Berezinskii-Kosterlitz-Thouless transition and related phenomena.
Contribution
It analyzes the impact of skyrmions on the crossover temperature and explores the nature of condensate transitions in trapped quasi-2D spin-1 Bose gases.
Findings
Skyrmions raise the vortex unbinding temperature.
Transitions to condensate and quasi-condensate states are identified.
Fragmented condensates are absent in the studied regime.
Abstract
Recently, the Berezinskii-Kosterlitz-Thouless transition was found to be mediated by half-quantum vortices (HQVs) in two-dimensional (2D) antiferromagnetic Bose gases [Phys. Rev. Lett. 97, 120406 (2006)]. We study the thermal activation of HQVs in the experimentally relevant trapped quasi-2D systems and find that the crossover temperature is shifted upwards if skyrmions are allowed. Above the defect binding temperatures we observe transitions corresponding to the onset of a coherent condensate and a quasi-condensate and discuss the absence of a fragmented condensate.
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