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Physica C Superconductivity

Quantum Monte Carlo study on the pairing symmetry competition in the Hubbard model

Kazuhiko Kuroki, Yukio Tanaka, T. Kimura, Ryotaro Arita

Published May 8, 2004• 0 citations
Publisher
DOI
10.1016/j.physc.2003.11.064

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To shed light into the pairing mechanism of possible spin triplet superconductors ${(\text{TMTSF})}_{2}X$ and ${\text{Sr}}_{2}{\text{RuO}}_{4}$, we study the competition among various spin singlet and triplet pairing channels in the Hubbard model by calculating the pairing interaction vertex using the ground state quantum Monte Carlo technique. We model ${(\text{TMTSF})}_{2}X$ by a quarter-filled quasi-one-dimensional (quasi-1D) Hubbard model, and the $\ensuremath{\gamma}$ band of ${\text{Sr}}_{2}{\text{RuO}}_{4}$ by a two-dimensional (2D) Hubbard model with a band filling of $\ensuremath{\sim}4∕3$. For the quasi-1D system, we find that triplet $f$-wave pairing not only dominates over the triplet $p$ wave in agreement with the spin fluctuation theory, but also looks unexpectedly competitive against $d$ waves. For the 2D system, although the results suggest the presence of an attractive interaction in the triplet pairing channels, the $d$-wave pairing interaction is found to be larger than those of the triplet channels.

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Quantum Monte Carlo Investigations for the Hubbard Model

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To shed light into the pairing mechanism of possible spin triplet superconductors (TMTSF)2X{(\text{TMTSF})}_{2}X(TMTSF)2​X and Sr2RuO4{\text{Sr}}_{2}{\text{RuO}}_{4}Sr2​RuO4​, we study the competition among various spin singlet and triplet pairing channels in the Hubbard model by calculating the pairing interaction vertex using the ground state quantum Monte Carlo technique. We model (TMTSF)2X{(\text{TMTSF})}_{2}X(TMTSF)2​X by a quarter-filled quasi-one-dimensional (quasi-1D) Hubbard model, and the $\ensuremath{\gamma}$ band of Sr2RuO4{\text{Sr}}_{2}{\text{RuO}}_{4}Sr2​RuO4​ by a two-dimensional (2D) Hubbard model with a band filling of $\ensuremath{\sim}4∕3$. For the quasi-1D system, we find that triplet fff-wave pairing not only dominates over the triplet ppp wave in agreement with the spin fluctuation theory, but also looks unexpectedly competitive against ddd waves. For the 2D system, although the results suggest the presence of an attractive interaction in the triplet pairing channels, the ddd-wave pairing interaction is found to be larger than those of the triplet channels.