Phys. Rev. B 73, 174525 (2006) [16 pages]
Slave-boson approach to the metallic stripe phases with large unit cells
Abstract
References (58)
Citing Articles
Marcin RaczkowskiMarian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, PL-30059 Kraków, Poland and Laboratoire CRISMAT, UMR CNRS-ENSICAEN(ISMRA) 6508, 6 Bld. du Maréchal Juin, F-14050 Caen, FranceRaymond FrésardLaboratoire CRISMAT, UMR CNRS-ENSICAEN(ISMRA) 6508, 6 Bld. du Maréchal Juin, F-14050 Caen, FranceAndrzej M. Ole Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, PL-30059 Kraków, Poland and Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
Received 10 February 2006; revised 18 April 2006; published 26 May 2006
Using a rotationally invariant version of the slave-boson approach in spin space we analyze the stability of stripe phases with large unit cells in the two-dimensional Hubbard model. This approach allows one to treat strong electron correlations in the stripe phases relevant in the low doping regime, and gives results representative of the thermodynamic limit. Thereby we resolve the longstanding controversy concerning the role played by the kinetic energy in stripe phases. While the transverse hopping across the domain walls yields the largest kinetic energy gain in the case of the insulating stripes with one hole per site, the holes propagating along the domain walls stabilize the metallic vertical stripes with one hole per two sites, as observed in the cuprates. We also show that a finite next-nearest neighbor hopping t can tip the energy balance between the filled diagonal and half-filled vertical stripes, which might explain a change in the spatial orientation of stripes observed in the high Tc cuprates at the doping x 1/16.
©2006 The American Physical Society
REFERENCES (58)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. 75, 1201 (2003).
- P. A. Lee, N. Nagaosa, and X.-G. Wen Rev. Mod. Phys. 78, 17 (2006).
- C. Stock, W. J. L. Buyers, R. A. Cowley, P. S. Clegg, R. Coldea, C. D. Frost, R. Liang, D. Peets, D. Bonn, W. N. Hardy, and R. J. Birgeneau, Phys. Rev. B 71, 024522 (2005);
- N. B. Christensen, D. F. McMorrow, H. M. Rønnow, B. Lake, S. M. Hayden, G. Aeppli, T. G. Perring, M. Mangkorntong, M. Nohara, and H. Takagi, Phys. Rev. Lett.93, 147002 (2004).
- G. Seibold and J. Lorenzana Phys. Rev. Lett. 94, 107006 (2005);
- J. Zaanen and O. Gunnarsson, Phys. Rev. B 40, 7391 (1989);
D. Poilblanc and T. M. Rice, ibid. 39, 9749 (1989);
Phys. Rev. Lett. 64, 1445 (1990);
M. Inui and P. B. Littlewood Phys. Rev. B 44, 4415 (1991).
- M. Fujita, H. Goka, K. Yamada, J. M. Tranquada, and L. P. Regnault, Phys. Rev. B 70, 104517 (2004).
- A. R. Moodenbaugh, Y. Xu, M. Suenaga, T. J. Folkerts, and R. N. Shelton, Phys. Rev. B38, 4596 (1988);
M. K. Crawford, R. L. Harlow, E. M. McCarron, W. E. Farneth, J. D. Axe, H. Chou, and Q. Huang, ibid. 44, 7749 (1991).
- K. Yamada, C. H. Lee, K. Kurahashi, J. Wada, S. Wakimoto, S. Ueki, H. Kimura, Y. Endoh, S. Hosoya, G. Shirane, R. J. Birgeneau, M. Greven, M. A. Kastner, and Y. J. Kim, Phys. Rev. B 57, 6165 (1998).
- J. M. Tranquada, J. D. Axe, N. Ichikawa, A. R. Moodenbaugh, Y. Nakamura, and S. Uchida, Phys. Rev. Lett. 78, 338 (1997).
- P. Dai, H. A. Mook, R. D. Hunt, and F. Do
an, Phys. Rev. B 63, 054525 (2001).
- H. A. Mook, P. Dai, and F. Do
an Phys. Rev. Lett. 88, 097004 (2002).
- S. Wakimoto, G. Shirane, Y. Endoh, K. Hirota, S. Ueki, K. Yamada, R. J. Birgeneau, M. A. Kastner, Y. S. Lee, P. M. Gehring, and S. H. Lee, Phys. Rev. B 60, R769 (1999);
S. Wakimoto, R. J. Birgeneau, M. A. Kastner, Y. S. Lee, R. Erwin, P. M. Gehring, S. H. Lee, M. Fujita, K. Yamada, Y. Endoh, K. Hirota, and G. Shirane, ibid. 61, 3699 (2000);
M. Fujita, K. Yamada, H. Hiraka, P. M. Gehring, S. H. Lee, S. Wakimoto, and G. Shirane, ibid. 65, 064505 (2002).
- S. Wakimoto, J. M. Tranquada, T. Ono, K. M. Kojima, S. Uchida, S.-H. Lee, P. M. Gehring, and R. J. Birgeneau, Phys. Rev. B 64, 174505 (2001).
- M. Matsuda, Y. S. Lee, M. Greven, M. A. Kastner, R. J. Birgeneau, K. Yamada, Y. Endoh, P. Böni, S.-H. Lee, S. Wakimoto, and G. Shirane, Phys. Rev. B 61, 4326 (2000);
M. Matsuda, M. Fujita, K. Yamada, R. J. Birgeneau, M. A. Kastner, H. Hiraka, Y. Endoh, S. Wakimoto, and G. Shirane, ibid. 62, 9148 (2000);
M. Matsuda, M. Fujita, K. Yamada, R. J. Birgeneau, Y. Endoh, and G. Shirane, ibid. 65, 134515 (2002).
- V. Sachan, D. J. Buttrey, J. M. Tranquada, J. E. Lorenzo, and G. Shirane, Phys. Rev. B 51, 12742 (1995);
J. M. Tranquada, D. J. Buttrey, and V. Sachan, ibid. 54, 12318 (1996);
R. Kajimoto, K. Ishizaka, H. Yoshizawa, and Y. Tokura, ibid. 67, 014511 (2003).
- S. R. White and D. J. Scalapino, Phys. Rev. Lett. 80, 1272 (1998);
Phys. Rev. B 60, R753 (1999).
- D. Góra, K. Ro
ciszewski, and A. M. Ole , Phys. Rev. B 60, 7429 (1999).
- T. Tohyama, S. Nagai, Y. Shibata, and S. Maekawa, Phys. Rev. Lett. 82, 4910 (1999).
- P. Wróbel and R. Eder, Phys. Rev. B 62, 4048 (2000);
- A. L. Chernyshev, A. H. Castro Neto, and A. R. Bishop, Phys. Rev. Lett. 84, 4922 (2000);
A. L. Chernyshev, S. R. White, and A. H. Castro Neto, Phys. Rev. B 65, 214527 (2002).
- M. Fleck, A. I. Lichtenstein, E. Pavarini, and A. M. Ole
, Phys. Rev. Lett. 84, 4962 (2000);
M. Fleck, A. I. Lichtenstein, and A. M. Ole , Phys. Rev. B 64, 134528 (2001).
- M. G. Zacher, R. Eder, E. Arrigoni, and W. Hanke, Phys. Rev. Lett. 85, 2585 (2000);
Phys. Rev. B 65, 045109 (2002).
- F. Becca, L. Capriotti, and S. Sorella, Phys. Rev. Lett. 87, 167005 (2001);
J. A. Riera, Phys. Rev. B 64, 104520 (2001).
- A. M. Ole
and J. Zaanen, Phys. Rev. B 39, 9175 (1989).
- G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 57, 1362 (1986).
- R. Frésard and W. Zimmermann, Phys. Rev. B 58, 15288 (1998);
I. Yang, E. Lange, and G. Kotliar, ibid. 61, 2521 (2000).
- B. Möller and P. Wölfle, Phys. Rev. B 48, 10320 (1993);
R. Doradzi ski and J. Spa ek, ibid. 56, R14239 (1997);
58, 3293 (1998).
- R. Frésard and G. Kotliar, Phys. Rev. B 56, 12909 (1997);
H. Hasegawa, ibid. 56, 1196 (1997);
A. Klejnberg and J. Spa ek, ibid. 57, 12041 (1998);
61, 15542 (2000);
L. F. Feiner and A. M. Ole , Phys. Rev. B 71, 144422 (2005).
- G. Seibold, E. Sigmund, and V. Hizhnyakov, Phys. Rev. B 57, 6937 (1998).
- G. Seibold, C. Castellani, C. Di Castro, and M. Grilli, Phys. Rev. B 58, 13506 (1998).
- A. Damascelli, Z. Hussain, and Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003).
- T. Tohyama, Phys. Rev. B 70, 174517 (2004).
- L. F. Feiner, J. H. Jefferson, and R. Raimondi, Phys. Rev. Lett. 76, 4939 (1996);
E. Pavarini, I. Dasgupta, T. Saha-Dasgupta, O. Jepsen, and O. K. Andersen, ibid. 87, 047003 (2001).
- P. Prelov
ek and A. Ram ak, Phys. Rev. B 72, 012510 (2005).
- C. T. Shih, T. K. Lee, R. Eder, C.-Y. Mou, and Y. C. Chen, Phys. Rev. Lett. 92, 227002 (2004).
- G. Seibold and J. Lorenzana, Phys. Rev. B 69, 134513 (2004).
- A. H. Castro Neto, Phys. Rev. B 64, 104509 (2001).
- W. Zimmermann, R. Frésard, and P. Wölfle, Phys. Rev. B 56, 10097 (1997).
- S. Florens, A. Georges, G. Kotliar, and O. Parcollet, Phys. Rev. B 66, 205102 (2002).
- E. Arrigoni and G. C. Strinati, Phys. Rev. B 44, 7455 (1991).
- B. Normand and A. P. Kampf, Phys. Rev. B 64, 024521 (2001).
- H. Eskes, A. M. Ole
, M. B. J. Meinders, and W. Stephan, Phys. Rev. B 50, 17980 (1994).
- J. H. Jefferson, H. Eskes, and L. F. Feiner, Phys. Rev. B 45, 7959 (1992).
- L. F. Feiner, J. H. Jefferson, and R. Raimondi, Phys. Rev. B 53, 8751 (1996);
R. Raimondi, J. H. Jefferson, and L. F. Feiner, ibid. 53, 8774 (1996).
CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.
|
A new free weekly publication from APS
|