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Resolving the Berezinskii-Kosterlitz-Thouless transition in the 2D XY model with tensor-network based level spectroscopy
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Berezinskii-Kosterlitz-Thouless transition of the classical XY model is re-investigated, combining the Tensor Network Renormalization (TNR) and the Level Spectroscopy method based on the finite-size scaling of the Conformal Field Theory. By systematically analyzing the spectrum of the transfer matrix of the systems of various moderate sizes which can be accurately handled with a finite bond dimension, we determine the critical point removing the logarithmic corrections. This improves the accuracy by an order of magnitude over previous studies including those utilizing TNR. Our analysis also gives a visualization of the celebrated Kosterlitz Renormalization Group flow based on the numerical data.
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Cited by 2 Pith papers
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Tensor Renormalization Group Meets Computer Assistance
A new tensor RG map with a verified master function rigorously establishes stability of the high-temperature fixed point and yields new high-temperature bounds for the 2D Ising and XY models.
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Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological $\theta$ term under L\"uscher's admissibility condition
TRG computations show that Lüscher's admissibility condition moves the first-order transition of the 2D U(1) gauge-Higgs model at theta = pi closer to theta = pi under the field-theoretical definition, and locate the ...
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