Abstract
Using the variational Monte Carlo method for the two-dimensional t-t′-t″-U Hubbard model, we discuss the ground state of the underdoped region on the high-T c cuprates. We found that, while stripe states with the periodicity consistent with experiments for La2− x Sr x CuO4 are stabilized in the case of t′/t < 0, the positive t′/t makes the stripe state unstable with the lowest energy state being the commensurate AF state, which is consistent with experiments on the electron doping system such as Nd2− x Ce x CuO4. We also show that the stripe state is sensitive to the value of t″/t > 0. These results indicate that the nesting condition is a critical factor to the stripe instability.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
M. Fujita, K. Yamada, H. Hiraka, P. M. Gehring, S. H. Lee, S. Wakimoto, and G. Shirane, Phys. Rev. B 65, 064505 (2002).
K. Yamada, K. Kurahashi, T. Uefuji, M. Fujita, S. Park, S.-H. Lee, and Y. Endoh, Phys. Rev. Lett. 90, 137004 (2003).
X. J. Zhou, P. Bogdanov, S. A. Kellar, T. Noda, H. Eisak, S. Uchida, Z. Hussain, and Z. X. Shen, Science 286, 268 (1999).
T. Yoshida, X. J. Zhou, T. Sasagawa, W. L. Yang, P. V. Bogdanov, A. Lanzara, Z. Hussain, T. Mizokawa, A. Fujimori, H. Eisaki, Z. X. Shen, T. Kakeshita, and S. Uchida, Phys. Rev. Lett. 91, 027001 (2003).
N. P. Armitage, F. Ronning, D. H. Lu, C. Kim, A. Damascelli, K. M. Shen, D. L. Feng, H. Eisaki, Z. X. Shen, P. K. Mang, N. Kaneko, M. Greven, Y. Onose, Y. Taguchi, and Y. Tokura, Phys. Rev. Lett. 88, 257001 (2002).
K. Machida, Physica C 158, 192 (1989); D. Poilblanc and T. M. Rice, Phys. Rev. B 39, 9749 (1989); J. Zaanen and O. Gunnarson, Phys. Rev. B 40, 7391 (1989); H. J. Schulz, Phys. Rev. Lett. 64, 1445 (1990).
T. Giamarch and C. Lhuillier, Phys. Rev. B 42, 10641 (1990).
T. Yanagisawa, S. Koike, and K. Yamaji, Phy. Rev. B 64, 184509 (2001)
A. Himeda, T. Kato, and M. Ogata, Phys. Rev. Lett. 90, 117001 (2002).
M. Miyazaki, K. Yamaji, and T. Yanagisawa, J. Phys. Chem. Solids 63, 1403 (2002).
M. Miyazaki, T. Yanagisawa, and K. Yamaji, J. Phys. Soc. Jpn. 73, 1643 (2004).
M. Ichioka and K. Machida, J. Phys. Soc. Jpn. 68, 4020 (1999).
E. Kaneshita, M. Ichioka, and K. Machida, J. Phys. Soc. Jpn. 72, 2441 (2003).
T. Yanagisawa, M. Miyazaki, and K. Yamaji, Physica C, 412–414 (2004).
J. M. Tranquada, J. D. Axe, N. Ichikawa, Y. Nakamura, S. Uchida, and B. Nachumi, Phys. Rev. B 654, 7489 (1996).
K. Yamaji, M. Miyazaki, and T. Yanagisawa, in Proceedings of Stripe 04 (Springer, Roma, 2005), in press.
T. Tohyama and S. Maekawa, Supercond. Sci. Technol. 13, R17 (2000).
J. W. Loram, K. A. Mirza, J. R. Cooper, N. Athanassopoulou, and W. Liang, in Proceedings of the 10th Annual HTS Workshop (World Scientific, Singapore, 1996), p. 341.
ACKNOWLEDGMENTS
One of the authors (M. M.) was supported by a Grant-in-Aid for 21st COE Program from the MEXT of the Japanese Government. VMC calculations were performed on Aoyama Plus Systems as well as on the group's facility of AIST.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Miyazaki, M., Yamaji, K. & Yanagisawa, T. Effects of Higher Hopping Terms on the Stripe States in the Two-Dimensional Hubbard Model. J Supercond 18, 727–730 (2005). https://doi.org/10.1007/s10948-005-0069-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-005-0069-z