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Tensor renormalization group study of the three-dimensional O (2) model

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We calculate thermodynamic potentials and their derivatives for the three-dimensional O(2) model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical… Click to show full abstract

We calculate thermodynamic potentials and their derivatives for the three-dimensional O(2) model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical potential to study the Silver Blaze phenomenon, which is related to the particle number density at zero temperature. Furthermore, the temperature dependence of the number density is explored using asymmetric lattices. Our results for both zero and non-zero magnetic field, temperature, and chemical potential are consistent with those obtained using other methods.

Keywords: group study; model; renormalization group; three dimensional; tensor renormalization; dimensional model

Journal Title: Physical Review D
Year Published: 2021

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