Abstract
Projector Quantum-Monte-Carlo method is used to examine effects of spin ordering on superconducting correlations in the two dimensional spin-one-half Falicov-Kimball model with Hund and Hubbard coupling. At first, the ground state spin configurations of the model are determined for a wide range of model parameters like the d-electron filling Nd, the Hund coupling Jz, the Hubbard coupling U, and then the average vertex correlation functions, as a measure of the superconducting correlations in these ground states, are calculated. It is found that the presence of the fully or partially developed antiferromagnetic spin ordering in the ground state dramatically enhances superconducting correlations in the d-wave channel, while the ferromagnetic spin substructures in the form of parallel/antiparallel domains, bands or lines superconducting correlations strongly suppress.
Graphical abstract
Similar content being viewed by others
References
C.H. Chen, S.-W. Cheong, A.S. Cooper, Phys. Rev. Lett. 71, 2461 (1993)
J.M. Tranquada, D.J. Buttrey, V. Sachan, J.E. Lorenzo, Phys. Rev. Lett. 73, 1003 (1994)
J.M. Tranquada, D.J. Buttrey, V. Sachan, J.E. Lorenzo, Phys. Rev. B 52, 3581 (1995)
V. Sachan et al., Phys. Rev. B 51, 12742 (1995)
J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Nature (London) 375, 561 (1995)
J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Phys. Rev. B 54, 7489 (1996)
J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Phys. Rev. Lett. 78, 338 (1997)
H.A. Mook, P. Dai, F. Dogan, Phys. Rev. Lett. 88, 097004 (2002)
K. Takada, H. Sakurai, E. Takayama-Muromachi, F. Izumi, R. Dilanian, T. Sasaki, Nature (London) 422, 53 (2003)
A.M. Oles, Acta Phys. Pol. B 31, 2963 (2000)
S.R. White, D.J. Scalapino, Phys. Rev. Lett. 80, 1272 (1998)
V.J. Emery, S.A. Kivelson, H.Q. Lin, Phys. Rev. Lett. 64, 475 (1990)
R. Lemanski, J.K. Freericks, G. Banach, Phys. Rev. Lett. 89, 196403 (2002)
L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)
R. Lemanski, Phys. Rev. B 71, 035107 (2005)
P. Farkašovský, H. Čenčariková, Eur. Phys. J. B 47, 517 (2005)
R. Lemanski, J. Wrzodak, Phys. Rev. B 78, 085118 (2008)
P. Farkašovský, Eur. Phys. J. B 20, 209 (2001)
H. Čenčariková, P. Farkašovský, Int. J. Mod. Phys. B 18, 357 (2004)
P. Farkašovský, J. Supercond. Nov. Mag. 30, 581 (2017)
M. Imada, Y. Hatsugai, J. Phys. Soc. Jpn. 58, 3752 (1989)
E. Dagotto, Rev. Mod. Phys. 66, 763 (1994)
M. Fettes, I. Morgenstern, T. Husslein, Comput. Phys. Commun. 106, 1 (1997)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Farkašovský, P. Enhancement of superconducting correlations by spin ordering in the spin-one-half Falicov-Kimball model with Hund and Hubbard coupling: Quantum Monte-Carlo study. Eur. Phys. J. B 93, 217 (2020). https://doi.org/10.1140/epjb/e2020-10250-y
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjb/e2020-10250-y