# Bold diagrammatic Monte Carlo method applied to fermionized frustrated spins.

@article{Kulagin2013BoldDM,
title={Bold diagrammatic Monte Carlo method applied to fermionized frustrated spins.},
author={Sergey A. Kulagin and Nikolay Prokof'ev and Oleg A. Starykh and Boris Svistunov and Christopher N. Varney},
journal={Physical review letters},
year={2013},
volume={110 7},
pages={
070601
}
}
• S. Kulagin, +2 authors C. Varney
• Published 1 December 2012
• Medicine, Physics
• Physical review letters
We demonstrate, by considering the triangular lattice spin-1/2 Heisenberg model, that Monte Carlo sampling of skeleton Feynman diagrams within the fermionization framework offers a universal first-principles tool for strongly correlated lattice quantum systems. We observe the fermionic sign blessing--cancellation of higher order diagrams leading to a finite convergence radius of the series. We calculate the magnetic susceptibility of the triangular-lattice quantum antiferromagnet in the…

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## References

SHOWING 1-10 OF 36 REFERENCES
Diagrammatic Monte Carlo
• Physics, Mathematics
• 2008
Quantum phase transitions
Nature abounds with phase transitions. The boiling and freezing of water are everyday examples of phase transitions, as are more exotic processes such as superconductivity and superfluidity. The
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Phys
• Rev. E 75, 061118
• 2007
Phys
• Rev. B 71, 134422
• 2005
Proc
• Steklov Inst. Math. 177, 184
• 1991
Sov
• Phys. - JETP 67, 535
• 1988
N
• Prokof’ev, O. Starykh, B. Svistunov, and C. Varney, Phys. Rev. B 87, 024407
• 2013
N
• Prokof’ev, B. Svistunov, M. J. H. Ku, A. T. Sommer, L. W. Cheuk, A. Schirotzek, and M. W. Zwierlein, Nat. Phys. 8, 366
• 2012
Phys
• Rev. B 84, 214418
• 2011