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arXiv · 1408.2088

Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram

Youjin Deng·Evgeny Kozik·Nikolay V. Prokof'ev·Boris V. Svistunov
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Abstract

A significant part of the phase diagram of the two-dimensional fermionic Hubbard model for moderate interactions and filling factors ($U < 4, \, n<0.7$) is governed by effective Fermi liquid physics with weak BCS-type instabilities. We access this regime in a controlled way by a combination of the bold-line diagrammatic Monte Carlo method with an additional ladder-diagram summation trick and semi-analytic treatment of the weak instability in the Cooper channel. We obtain the corresponding ground-state phase diagram in the $(n,U)$ plane describing the competition between the $p-$ and $d-$wave superfluid states. We also claim the values of the dimensionless BCS coupling constants controlling the superfluid $T_c$ at the phase boundaries, which prove to be very small up to $U=4, n = 0.6$.

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Youjin Deng, Evgeny Kozik, Nikolay V. Prokof'ev, Boris V. Svistunov. 2014-08-09. Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram. https://doi.org/10.1209/0295-5075/110/57001

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