Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators

Abstract

References (111)

Citing Articles

Download: PDF (470 kB) or Buy this Article (US$25) (Use Article Pack)

S. S. Kancharla,¹ B. Kyung,¹ D. Sénéchal,¹ M. Civelli,^2,3 M. Capone,⁴ G. Kotliar,² and A.-M. S. Tremblay¹
¹Département de Physique and Regroupement Québécois sur les Matériaux de Pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
²Department of Physics and Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA
³Theory Group, Insititut Laue Langevin, Grenoble, France
⁴SMC, CNR-INFM, and Physics Department, University of Roma “La Sapienza,” Piazzale A. Moro 2, I-00185 Rome, Italy and ISC-CNR, Via dei Taurini 19, I-00185 Rome, Italy

Received 9 August 2005; revised 19 December 2007; published 23 May 2008

Proximityto a Mott insulating phase is likely to be animportant physical ingredient of a theory that aims to describehigh-temperature superconductivity in the cuprates. Quantum cluster methods are wellsuited to describe the Mott phase. Hence, as a steptoward a quantitative theory of the competition between antiferromagnetism andd-wave superconductivity in the cuprates, we use cellular dynamical mean-fieldtheory to compute zero-temperature properties of the two-dimensional square latticeHubbard model. The d-wave order parameter is found to scalelike the superexchange coupling J for on-site interaction U comparableto or larger than the bandwidth. The order parameter alsoassumes a dome shape as a function of doping, while,by contrast, the gap in the single-particle density of statesdecreases monotonically with increasing doping. In the presence of afinite second neighbor hopping t, the zero-temperature phase diagram displaysthe electron-hole asymmetric competition between antiferromagnetism and superconductivity that isobserved experimentally in the cuprates. Adding realistic third neighbor hoppingt improves the overall agreement with the experimental phase diagram.Since band parameters can vary depending on the specific cuprateconsidered, the sensitivity of the theoretical phase diagram to bandparameters challenges the commonly held assumption that the doping vsT_c/T <sub>c</sub><sup>max</sup> phase diagram of the cuprates is universal. The calculatedangle-resolved photoemission spectrum displays the observed electron-hole asymmetry. The tendencyto homogeneous coexistence of the superconducting and antiferromagnetic order parametersis stronger than observed in most experiments but consistent withmany theoretical results and with experiments in some layered high-temperaturesuperconductors. Clearly, our calculations reproduce important features of d-wave superconductivityin the cuprates that would otherwise be considered anomalous fromthe point of view of the standard Bardeen–Cooper–Schrieffer approach. Atstrong coupling, d-wave superconductivity and antiferromagnetism naturally appear as twoequally important competing instabilities of the normal phase of thesame underlying Hamiltonian.

URL:	http://link.aps.org/doi/10.1103/PhysRevB.77.184516
DOI:	10.1103/PhysRevB.77.184516
PACS:	71.10.Fd; 71.35.-y; 72.80.Sk; 78.30.Am 71.10.Fd Lattice fermion models (condensed matter) 71.35.-y Excitons and related phenomena 72.80.Sk Electrical conductivity of insulators 78.30.Am Infrared and Raman spectra in elemental semiconductors and insulators YEAR: 2008
KEYWORDS:	antiferromagnetic materials, BCS theory, doping, d-wave superconductivity, high-temperature superconductors, hopping conduction, Hubbard model, localised states, magnetic superconductors, phase diagrams, photoelectron spectra, superexchange interactions

REFERENCES (111)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

M. Sutherland et al., Phys. Rev. B 67, 174520 (2003).
M. B. J. Meinders, H. Eskes, and G. A. Sawatzky, Phys. Rev. B 48, 3916 (1993).
A. Macridin, M. Jarrell, T. Maier, and G. A. Sawatzky, Phys. Rev. B 71, 134527 (2005).
G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Phys. Rev. Lett. 87, 186401 (2001).
B. Kyung and A.-M. S. Tremblay, Phys. Rev. Lett. 97, 046402 (2006).
P. Sahebsara and D. Sénéchal, Phys. Rev. Lett. 97, 257004 (2006).
T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. 77, 1027 (2005).
A. M. S. Tremblay, B. Kyung, and D. Senechal, Low Temp. Phys. 32, 424 (2006).
G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. 78, 865 (2006).
A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
M. Jarrell, Phys. Rev. Lett. 69, 168 (1992).
M. H. Hettler, A. N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B 58, R7475 (1998).
M. Potthoff, M. Aichhorn, and C. Dahnken, Phys. Rev. Lett. 91, 206402 (2003).
G. Biroli and G. Kotliar, Phys. Rev. B 71, 037102 (2005).
C. J. Bolech, S. S. Kancharla, and G. Kotliar, Phys. Rev. B 67, 075110 (2003).
M. Capone, M. Civelli, S. S. Kancharla, C. Castellani, and G. Kotliar, Phys. Rev. B 69, 195105 (2004).
O. Parcollet, G. Biroli, and G. Kotliar, Phys. Rev. Lett. 92, 226402 (2004).
M. Civelli, M. Capone, S. S. Kancharla, O. Parcollet, and G. Kotliar, Phys. Rev. Lett. 95, 106402 (2005).
B. Kyung, S. S. Kancharla, D. Senechal, A.-M. S. Tremblay, M. Civelli, and G. Kotliar, Phys. Rev. B 73, 165114 (2006).
A. Damascelli, Z. Hussain, and Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003).
M. Caffarel and W. Krauth, Phys. Rev. Lett. 72, 1545 (1994).
D. Poilblanc and D. J. Scalapino, Phys. Rev. B 66, 052513 (2002).
B. Kyung, G. Kotliar, and A.-M. S. Tremblay, Phys. Rev. B 73, 205106 (2006).
B. Kyung, J.-S. Landry, and A. M. S. Tremblay, Phys. Rev. B 68, 174502 (2003).
J. Reiss, D. Rohe, and W. Metzner, Phys. Rev. B 75, 075110 (2007).
T. Maier, M. Jarrell, T. Pruschke, and J. Keller, Phys. Rev. Lett. 85, 1524 (2000).
D. Sénéchal, P.-L. Lavertu, M.-A. Marois, and A.-M. S. Tremblay, Phys. Rev. Lett. 94, 156404 (2005).
A. Paramekanti, M. Randeria, and N. Trivedi, Phys. Rev. B 70, 054504 (2004).
S. Sorella, G. B. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola, and E. Dagotto, Phys. Rev. Lett. 88, 117002 (2002).
G. Kotliar and J. Liu, Phys. Rev. Lett. 61, 1784 (1988).
M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Phys. Rev. Lett. 93, 047001 (2004).
R. Ofer, G. Bazalitsky, A. Kanigel, A. Keren, A. Auerbach, J. S. Lord, and A. Amato, Phys. Rev. B 74, 220508(R) (2006).
L. Spanu, M. Lugas, F. Becca, and S. Sorella, Phys. Rev. B 77, 024510 (2008).
S. R. White and D. J. Scalapino, Phys. Rev. B 60, R753 (1999).
E. Pavarini, I. Dasgupta, T. Saha-Dasgupta, O. Jepsen, and O. K. Andersen, Phys. Rev. Lett. 87, 047003 (2001).
D. Sénéchal and A.-M. S. Tremblay, Phys. Rev. Lett. 92, 126401 (2004).
B. Kyung, V. Hankevych, A.-M. Daré, and A.-M. S. Tremblay, Phys. Rev. Lett. 93, 147004 (2004).
R. Coldea, S. M. Hayden, G. Aeppli, T. G. Perring, C. D. Frost, T. E. Mason, S.-W. Cheong, and Z. Fisk, Phys. Rev. Lett. 86, 5377 (2001).
B. Kyung, Phys. Rev. B 62, 9083 (2000).
H. Mukuda, M. Abe, Y. Araki, Y. Kitaoka, K. Tokiwa, T. Watanabe, A. Iyo, H. Kito, and Y. Tanaka, Phys. Rev. Lett. 96, 087001 (2006).
P. Dai, H. J. Kang, H. A. Mook, M. Matsuura, J. W. Lynn, Y. Kurita, S. Komiya, and Y. Ando, Phys. Rev. B 71, 100502(R) (2005).
B. Khaykovich, Y. S. Lee, R. W. Erwin, S.-H. Lee, S. Wakimoto, K. J. Thomas, M. A. Kastner, and R. J. Birgeneau, Phys. Rev. B 66, 014528 (2002).
Y. Zhang, E. Demler, and S. Sachdev, Phys. Rev. B 66, 094501 (2002).
J. Chang et al., Phys. Rev. Lett. 98, 077004 (2007).
T. Giamarchi and C. Lhuillier, Phys. Rev. B 47, 2775 (1993).
A. Himeda and M. Ogata, Phys. Rev. B 60, R9935 (1999).
A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 62, R9283 (2000).
M. Capone and G. Kotliar, Phys. Rev. B 74, 054513 (2006).
M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B 74, 024508 (2006).
M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B 74, 235117 (2006).
M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B 76, 224509 (2007).
T. A. Maier, M. Jarrell, T. C. Schulthess, P. R. C. Kent, and J. B. White, Phys. Rev. Lett. 95, 237001 (2005).
T. A. Maier, M. Jarrell, and D. J. Scalapino, Phys. Rev. B 75, 134519 (2007).
T. A. Maier, M. Jarrell, and D. J. Scalapino, Phys. Rev. B 74, 094513 (2006).
T. A. Maier, M. S. Jarrell, and D. J. Scalapino, Phys. Rev. Lett. 96, 047005 (2006).
A. Macridin, M. Jarrell, T. Maier, P. R. C. Kent, and E. D'Azevedo, Phys. Rev. Lett. 97, 036401 (2006).
R. S. Markiewicz, S. Sahrakorpi, M. Lindroos, H. Lin, and A. Bansil, Phys. Rev. B 72, 054519 (2005).
P. W. Leung, B. O. Wells, and R. J. Gooding, Phys. Rev. B 56, 6320 (1997).
S. D. Obertelli, J. R. Cooper, and J. L. Tallon, Phys. Rev. B 46, 14928 (1992).
Y. Ando, Y. Hanaki, S. Ono, T. Murayama, K. Segawa, N. Miyamoto, and S. Komiya, Phys. Rev. B 61, R14956 (2000).
T. Kondo, T. Takeuchi, U. Mizutani, T. Yokoya, S. Tsuda, and S. Shin, Phys. Rev. B 72, 024533 (2005).
C. Renner, B. Revaz, J.-Y. Genoud, K. Kadowaki, and O. Fischer, Phys. Rev. Lett. 80, 149 (1998).
B. P. Xie et al., Phys. Rev. Lett. 98, 147001 (2007).
J. Graf et al., Phys. Rev. Lett. 98, 067004 (2007).
W. Meevasana et al., Phys. Rev. B 75, 174506 (2007).
T. Valla, T. E. Kidd, W.-G. Yin, G. D. Gu, P. D. Johnson, Z.-H. Pan, and A. V. Fedorov, Phys. Rev. Lett. 98, 167003 (2007).
F. Tan, Y. Wan, and Q.-H. Wang, Phys. Rev. B 76, 054505 (2007).
M. Aichhorn, E. Arrigoni, Z. B. Huang, and W. Hanke, Phys. Rev. Lett. 99, 257002 (2007).
M. Civelli, M. Capone, A. Georges, K. Haule, O. Parcollet, T. Stanescu, and G. Kotliar, Phys. Rev. Lett. 100, 046402 (2008).
N. P. Armitage et al., Phys. Rev. Lett. 86, 1126 (2001).
Q. Li, M. Hücker, G. D. Gu, A. M. Tsvelik, and J. M. Tranquada, Phys. Rev. Lett. 99, 067001 (2007).
E. Berg, E. Fradkin, E.-A. Kim, S. A. Kivelson, V. Oganesyan, J. M. Tranquada, and S. C. Zhang, Phys. Rev. Lett. 99, 127003 (2007).
B. Fauqué, Y. Sidis, V. Hinkov, S. Pailhès, C. T. Lin, X. Chaud, and P. Bourges, Phys. Rev. Lett. 96, 197001 (2006).
S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. 75, 1201 (2003).
M. T. Beal-Monod, C. Bourbonnais, and V. J. Emery, Phys. Rev. B 34, 7716 (1986).
K. Miyake, S. Schmitt-Rink, and C. M. Varma, Phys. Rev. B 34, 6554 (1986).
D. J. Scalapino, E. Loh, and J. E. Hirsch, Phys. Rev. B 34, 8190 (1986).
S. R. Hassan, B. Davoudi, B. Kyung, and A.-M. S. Tremblay, Phys. Rev. B 77, 094501 (2008).
K. Haule and G. Kotliar, Phys. Rev. B 76, 104509 (2007).
A. H. Nevidomskyy, C. Scheiber, D. Sénéchal, and A.-M. S. Tremblay, Phys. Rev. B 77, 064427 (2008).