Abstract
The search for a superconducting state in the two-dimensional one-band Hubbard model (HM) has been intense in the last few years. Monte Carlo methods, haunted by the infamous fermion sign problem, have been unable to study large enough systems and low enough temperatures. The Constrained Path Monte Carlo method (CPMC) evades the sign problem by introducing an approximate constraining state. We introduce a new formulation of the CPMC that allows the implementation of a whole family of generalized mean-field states as constraint, and calculate superconducting pairing correlation functions in the HM for lattices up to 12×12. We compare the results obtained using a BCS and a free-electron constraining wave-function. We find that the d-wave correlations are insensitive to the constraining state used.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
