Solution to sign problems in half-filled spin-polarized electronic systems

@article{Huffman2014SolutionTS,
  title={Solution to sign problems in half-filled spin-polarized electronic systems},
  author={Emilie Huffman and Shailesh Chandrasekharan},
  journal={Physical Review B},
  year={2014},
  volume={89},
  pages={111101}
}
We solve the sign problem in a particle-hole symmetric spin-polarized fermion model on bipartite lattices using the idea of fermion bags. The solution can be extended to a class of models at half filling but without particle-hole symmetry. Attractive Hubbard models with an odd number of fermion species can also be solved. The new solutions should allow us to study quantum phase transitions that have remained unexplored so far due to sign problems. 

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References

SHOWING 1-10 OF 27 REFERENCES
Eur
  • Phys. J., A49, 90
  • 2013
Phys
  • Rev. X, 3, 031010
  • 2013
I and J
Phys
  • Rev. D, 85 091502
  • 2012
Rev
  • Mod. Phys., 83 349
  • 2011
Phys
  • Rev. A, 82, 053621
  • 2010
Phys
  • Rev. D, 82, 025007
  • 2010
V
  • Jurǐ cić, and O. Vafek, Phys. Rev. B, 80, 075432
  • 2009
N
  • Prokof’ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett., 101, 090402
  • 2008
and C
  • Strouthos, Phys.Rev., D75, 101701
  • 2007
...
1
2
3
...