Abstract
We apply perturbation theory and cyclic spin permutation formalism to study the lowest energy states of the infinite-repulsion Hubbard model on finite fragments of n-leg ladder rings and show jump-wise behavior of the ground state spin S 0 as a function of fragment parameters.
Similar content being viewed by others
References
Nagaoka, Y.: Ferromagnetism in a narrow, almost half-filled s band. Phys. Rev. 147, 392–405 (1966)
Liu, L., Yao, H., Berg, E., White, S.R., Kivelson, S.A.: Phases of the infinite U Hubbard model on square lattices. Phys. Rev. Lett. 108(4), 126406 (2012)
Krivnov, V.Y., Ovchinnikov, A.A., Cheranovskii, V.O.: Magnetic properties of the Hubbard model with strong interactions. Synth. Met. 33, 65–79 (1989)
Cheranovskii, V.O.: The application of cyclic spin permutations to the theory of strongly correlated electron systems. Int. J. Quant. Chem. 41, 695–708 (1992)
Cheranovskii, V.O., Esenturk, O., Pamuk, H.O.: Magnetic properties of multiband \(U=\infty \) Hubbard model on anisotropic triangular and rectangular lattice strips. Phys. Rev. B 58, 1226–12266 (1998)
Wei, B.B., Gu, S.J., Lin, H.Q.: Persistent currents in one-dimensional mesoscopic Hubbard ring. J. Phys. Cond. Mat. 20 395209 (2008)
Konho, M.: Aspects of the ground state of the \(U=\infty \) Hubbard ladder. Phys. Rev. B 56, 15015–15024 (1997)
Ezerskaya, E.V., Cheranovskii, V.O.: Magnetic-properties of the Hubbard model with infinite repulsion on rectangular anisotropic lattice. Fizika Nizkikh Temperatur (Kharkov) 18, 872–875 (1992)
Cheranovskii, V.O., Ezerskaya, E.V.: Magnetic properties of the infinite U Hubbard model on one-dimensional frustrated lattices. J. Supercond. Nov. Magn. 28, 773–776 (2015)
Acknowledgements
VOC acknowledges the support of the VolkswagenStiftung, Germany (via grant 151110). DJK acknowledges the support of the Welch Foundation of Houston, TX (via grant BD-0894).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cheranovskii, V.O., Ezerskaya, E.V., Klein, D.J. et al. Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings. J Supercond Nov Magn 31, 1369–1373 (2018). https://doi.org/10.1007/s10948-017-4323-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-017-4323-y