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Bulletin of the American Physical Society

Diagrammatic Monte Carlo for Fermions with Spin-Dependent Hopping Anisotropy

Jan Gukelberger, Evgeny Kozik, Lode Pollet, Kris Van Houcke, Nikolay V. Prokof'ev, Boris V. Svistunov, Matthias Troyer

Published Mar 21, 2013• 0 citations
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We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for unconventional types of order. Unbiased sampling of the Feynman diagrammatic series using diagrammatic Monte Carlo methods reveals a rich phase diagram in the regime of intermediate coupling strength. Instead of a proposed Cooper-pair Bose metal phase [A. E. Feiguin and M. P. A. Fisher, Phys. Rev. Lett. 103, 025303 (2009)], we find an incommensurate density wave at strong anisotropy and two different p-wave superfluid states with unconventional symmetry at intermediate anisotropy.