Abstract
We present an extension of the recently proposed dual fermion approach to investigate the superconducting properties of the Hubbard model in two dimensions. From the spin–spin susceptibility, we find a reduction of the Néel temperature compared to results from dynamical mean-field theory (DMFT) calculations due to the incorporation of spatial correlations. We present results for the temperature dependence of the leading eigenvalue of the Bethe–Salpeter equation for the particle–particle channel. In agreement with previous studies, we find singlet d-wave pairing to be the dominant contribution to pairing. We further present first results for the finite-doping phase diagram obtained from the leading eigenvalue of the Bethe–Salpeter equations for the particle–hole and particle–particle channels.
Similar content being viewed by others
References
Lee, P.A., Nagaosa, N., Wen, X.-G.: Rev. Mod. Phys. 78, 17 (2006)
White, S.R., Scalapino, D.J., Sugar, R.L., Loh, E.Y., Gubernatis, J.E., Scalettar, R.T.: Phys. Rev. B 40, 506 (1989)
Lichtenstein, A.I., Katsnelson, M.I.: Phys. Rev. B 62, R9283 (2000)
Maier, T.A., Jarrell, M., Schulthes, T.C., Kent, P.R.C., White, J.B.: Phys. Rev. Lett. 95, 237001 (2005)
Sénéchal, D., Lavertu, P.-L., Marois, M.-A., Tremblay, A.-M.S.: Phys. Rev. Lett. 94, 156404 (2005)
Maier, T.A., Jarrell, M.S., Scalapino, D.J.: Phys. Rev. Lett. 96, 047005 (2006)
Rubtsov, A.N., Katsnelson, M.I., Lichtenstein, A.I.: Phys. Rev. B 77, 033101 (2008)
Rubtsov, A.N., Savkin, V.V., Lichtenstein, A.I.: Phys. Rev. B 72, 035122 (2005)
Brener, S., Hafermann, H., Rubtsov, A.N., Katsnelson, M.I., Lichtenstein, A.I.: Phys. Rev. B 77, 195105 (2008)
Li, G., Lee, H., Monien, H.: cond-mat/0804.3043 (2008)
Georges, A., Kotliar, G., Krauth, W., Rozenberg, M.J.: Rev. Mod. Phys. 68, 13 (1996)
Fleck, M., Liechtenstein, A.I., Oleś, A.M., Hedin, L., Anisimov, V.I.: Phys. Rev. Lett. 80, 2393 (1998)
Katanin, A.A., Toschi, A., Held, K.: cond-mat/0808.0689 (2008)
Hafermann, H., Brener, S., Rubtsov, A.N., Katsnelson, M.I., Lichtenstein, A.I.: JETP Lett. 86, 677 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hafermann, H., Kecker, M., Brener, S. et al. Dual Fermion Approach to High-Temperature Superconductivity. J Supercond Nov Magn 22, 45–49 (2009). https://doi.org/10.1007/s10948-008-0361-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-008-0361-9