Lefschetz thimble Monte Carlo for many-body theories: A Hubbard model study - INSPIRE

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Lefschetz thimble Monte Carlo for many-body theories: A Hubbard model study

Abhishek Mukherjee
(
- ECT, Trento and
- Fond. Bruno Kessler, Povo
)
,
Marco Cristoforetti
(
- ECT, Trento and
- Fond. Bruno Kessler, Povo
)

Mar 22, 2014

6 pages

Published in:

Phys.Rev.B 90 (2014) 3, 035134

Published: Jul 25, 2014

e-Print:

1403.5680 [cond-mat.str-el]

DOI:

10.1103/PhysRevB.90.035134

View in:

ADS Abstract Service

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Abstract: (APS)

Recently, a method based on stochastic integration on the surfaces of steepest descent of the action was introduced to tackle the sign problem in quantum-field theories. We show how this method can be used in many-body theories to perform fully nonperturbative calculations of quantum corrections about mean-field solutions. We discuss an explicit algorithm for implementing our method, and present results for the repulsive Hubbard model away from half-filling at intermediate temperatures. Our results are consistent with those from other state-of-the-art calculations.

Note:

7 pages, 2 figures

71.10.Fd
71.15.-m
correction: quantum
mean field approximation
many-body problem
Hubbard model
nonperturbative
temperature
Monte Carlo
stochastic

References(31)

Figures(2)

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