Proximity of the Superconducting Dome and the Quantum Critical Point in the Two-Dimensional Hubbard Model

Details Proximity of the Superconducting Dome and the Quantum Critical Point in the Two-Dimensional Hubbard Model Proximity of the Superconducting Dome and the Quantum Critical Point in the Two-Dimensional Hubbard Model

2011-01-31

arxiv.org/abs/1101.6050v2

Phys. Rev. Lett. 106, 047004 (2011)

Physics

Condensed Matter

Superconductivity

5 pages, 4 figures, published on PRL

Scientific paper

10.1103/PhysRevLett.106.047004

We use the dynamical cluster approximation to understand the proximity of the superconducting dome to the quantum critical point in the two-dimensional Hubbard model. In a BCS formalism, $T_c$ may be enhanced through an increase in the d-wave pairing interaction ($V_d$) or the bare pairing susceptibility ($\chi_{0d}$). At optimal doping, where $V_d$ is revealed to be featureless, we find a power-law behavior of $\chi_{0d}(\omega=0)$, replacing the BCS log, and strongly enhanced $T_c$. We suggest experiments to verify our predictions.

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