Superconducting properties of the attractive Hubbard model: A slave-boson study
Abstract
The superfluid characteristics of the attractive Hubbard model are analyzed for any coupling {vert_bar}{ital U}{vert_bar} and arbitrary electron concentration (0{lt}{ital n}{lt}2) by means of the slave-boson mean-field method and also by the perturbative treatment of the strong-coupling limit. The slave boson method takes into account correlations of electrons and yields a reliable description of the crossover from BCS-type superconductivity to local pair (composite bosons) superconductivity with increasing {vert_bar}{ital U}{vert_bar}. The results for the ground state (the free energy, the gap in the excitation spectrum) and the electromagnetic characteristics (the critical magnetic field, the London penetration depth, the coherence length) are compared with those obtained by the Hartree-Fock approximation and by the self-consistent second-order perturbation theory in the weak-coupling limit as well as with those obtained using perturbational approaches in the strong-coupling limit. We show that the slave-boson method, in contrast to the Hartree-Fock approximation, gives credible results for all investigated quantities in the whole interaction range, interpolating smoothly between the BCS and local pair regimes. A comparison of theoretical predictions for our simple model with experimental data for various families of short-coherence-length superconductors suggests that the best agreement can be obtained for intermediate values of the local attraction. {copyright} {italmore »
- Authors:
-
- Department of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)
- Publication Date:
- OSTI Identifier:
- 389330
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, B: Condensed Matter
- Additional Journal Information:
- Journal Volume: 54; Journal Issue: 18; Other Information: PBD: Nov 1996
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 66 PHYSICS; HUBBARD MODEL; SUPERCONDUCTIVITY; ENERGY GAP; PENETRATION DEPTH; CRITICAL FIELD; FREE ENERGY; ELECTRON CORRELATION; GROUND STATES; SUPERFLUIDITY; MEAN-FIELD THEORY; HARTREE-FOCK METHOD; BCS THEORY; CORRELATION LENGTH
Citation Formats
Bul/ka, B.R., and Robaszkiewicz, S. Superconducting properties of the attractive Hubbard model: A slave-boson study. United States: N. p., 1996.
Web. doi:10.1103/PhysRevB.54.13138.
Bul/ka, B.R., & Robaszkiewicz, S. Superconducting properties of the attractive Hubbard model: A slave-boson study. United States. https://doi.org/10.1103/PhysRevB.54.13138
Bul/ka, B.R., and Robaszkiewicz, S. 1996.
"Superconducting properties of the attractive Hubbard model: A slave-boson study". United States. https://doi.org/10.1103/PhysRevB.54.13138.
@article{osti_389330,
title = {Superconducting properties of the attractive Hubbard model: A slave-boson study},
author = {Bul/ka, B.R. and Robaszkiewicz, S},
abstractNote = {The superfluid characteristics of the attractive Hubbard model are analyzed for any coupling {vert_bar}{ital U}{vert_bar} and arbitrary electron concentration (0{lt}{ital n}{lt}2) by means of the slave-boson mean-field method and also by the perturbative treatment of the strong-coupling limit. The slave boson method takes into account correlations of electrons and yields a reliable description of the crossover from BCS-type superconductivity to local pair (composite bosons) superconductivity with increasing {vert_bar}{ital U}{vert_bar}. The results for the ground state (the free energy, the gap in the excitation spectrum) and the electromagnetic characteristics (the critical magnetic field, the London penetration depth, the coherence length) are compared with those obtained by the Hartree-Fock approximation and by the self-consistent second-order perturbation theory in the weak-coupling limit as well as with those obtained using perturbational approaches in the strong-coupling limit. We show that the slave-boson method, in contrast to the Hartree-Fock approximation, gives credible results for all investigated quantities in the whole interaction range, interpolating smoothly between the BCS and local pair regimes. A comparison of theoretical predictions for our simple model with experimental data for various families of short-coherence-length superconductors suggests that the best agreement can be obtained for intermediate values of the local attraction. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.54.13138},
url = {https://www.osti.gov/biblio/389330},
journal = {Physical Review, B: Condensed Matter},
number = 18,
volume = 54,
place = {United States},
year = {Fri Nov 01 00:00:00 EST 1996},
month = {Fri Nov 01 00:00:00 EST 1996}
}