The Kosterlitz-Thouless transition describes a topological phase transition in two-dimensional systems
The retrieved literature consistently confirms that the Kosterlitz-Thouless (or Berezinskii-Kosterlitz-Thouless) transition describes a topological phase transition driven by the unbinding of vortex defects in two-dimensional systems.
All relevant papers support the claim that the Kosterlitz-Thouless transition is a topological phase transition occurring in two-dimensional systems, corroborated across multiple physical contexts including magnetism, superconductivity, and general 2D statistical mechanics.
Ganesan AN, Kuklik P, Nattel S. A topological hypothesis for atrial fibrilllation, atrial flutter and focal atrial tachycardia: comparison and contrast with Kosterlitz-Thouless physics.. 2025. https://doi.org/10.3389/fnetp.2025.1710567
Paper 0 applies the Kosterlitz-Thouless transition framework as a topological phase transition model in 2D-analogous systems.
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Wang Y, Wang J, Yao G, Fan Z, Granato E, Kosterlitz M, Ala-Nissila T, Car R, Sun J. Phase transitions and dimensional cross-over in layered confined solids.. 2025. https://doi.org/10.1073/pnas.2502980122
Paper 1 discusses melting in confined 2D monolayers as a continuous Kosterlitz-Thouless-Halperin-Nelson-Young phase transition.
Diamantini MC, Trugenberger CA, Vinokur VM. Berezinskii-Kosterlitz-Thouless Quantum Transition in Two Dimensions.. 2026. https://doi.org/10.3390/ma19050868
Paper 2 details the Berezinskii-Kosterlitz-Thouless transition as a topological phase transition driven by topological defects in 2D systems.
Banerjee R, Kar S. Interplay of anisotropy, Dzyaloshinskii Moriya interaction and symmetry breaking fields in a 2D<i>XY</i>ferromagnet.. 2026. https://doi.org/10.1088/1361-648x/ae8496
Paper 3 examines the Kosterlitz-Thouless transition in a two-dimensional classical ferromagnetic XY model dominated by vortex-antivortex interactions.
Potts M, Zhang S. Spin-Qubit Noise Spectroscopy of Magnetic Berezinskii-Kosterlitz-Thouless Physics.. 2025. https://doi.org/10.1021/acs.nanolett.5c04627
Paper 4 explores magnetic Berezinskii-Kosterlitz-Thouless physics in two-dimensional XY magnets.
Wu Y, Peng B, Zeng Z, Yang C, Lu H, Zhou P, Xie J, Liang D, Zhang L, Yan P, Guo H, Che R, Deng L. Voltage-controlled topological spin textures in the monolayer limit.. 2026. https://doi.org/10.1038/s41467-026-69800-7
Paper 5 discusses topological phase transitions and the Berezinskii-Kosterlitz-Thouless mechanism in the strict two-dimensional limit.
A. I. D’yachenko, V. N. Krivoruchko, V. Yu. Tarenkov. Two-dimensional Berezinskii–Kosterlitz–Thouless topological phase transition in three-dimensional Bi2Sr2Ca2Cu3O10+<i>x</i>:(La,Sr)MnO3 nanocomposites. 2021. https://doi.org/10.1063/10.0004968
Paper 7 describes experimental transport properties in systems governed by the two-dimensional Berezinskii-Kosterlitz-Thouless topological phase transition.
Yuan-Yao 院耀 He 何. Condensate Fraction Scaling and Berezinskii−Kosterlitz−Thouless Transition of Superconductivity and Superfluidity. 2026. https://doi.org/10.1088/0256-307x/43/8/080703
Paper 8 investigates the Berezinskii-Kosterlitz-Thouless transition characterizing superconducting and superfluid transitions in two-dimensional many-body systems.
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