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

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 nonzero 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 nonzero magnetic field, temperature, and chemical potential are consistent with those obtained using other methods.

Automated summary

Thermodynamic properties and derivatives of the three-dimensional O(2) model were calculated using tensor-network methods to investigate second-order phase transitions and the Silver Blaze phenomenon. Results were consistent with those obtained using other methods, even at nonzero magnetic field, temperature, and chemical potential.