Perturbative calculation of critical exponents for the Bose–Hubbard model

@article{Hinrichs2013PerturbativeCO,
  title={Perturbative calculation of critical exponents for the Bose–Hubbard model},
  author={Dennis Hinrichs and Axel Pelster and Martin Holthaus},
  journal={Applied Physics B},
  year={2013},
  volume={113},
  pages={57-67}
}
We develop a strategy for calculating critical exponents for the Mott insulator-to-superfluid transition shown by the Bose–Hubbard model. Our approach is based on the field-theoretic concept of the effective potential, which provides a natural extension of the Landau theory of phase transitions to quantum critical phenomena. The coefficients of the Landau expansion of that effective potential are obtained by high-order perturbation theory. We counteract the divergency of the weak-coupling… 
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Tao Wang ( ),1,2 Xue-Feng Zhang ( ),3,2,4,* Chun-Feng Hou,5 Sebastian Eggert,2 and Axel Pelster2 1School of Science, Wuhan Institute of Technology, 438000 Wuhan, China 2Physics Department and
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