Perturbative calculation of critical exponents for the Bose–Hubbard model

  title={Perturbative calculation of critical exponents for the Bose–Hubbard model},
  author={Dennis Hinrichs and Axel Pelster and Martin Holthaus},
  journal={Applied Physics B},
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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B 98 , 245107 ( 2018 ) High-order symbolic strong-coupling expansion for the Bose-Hubbard model
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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  • C. HeilW. Linden
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2012
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