- Full text:
- PDF (eReader) / PDF (Download) (3504 kB)
In strongly correlated materials, superconductivity is often found near a magnetic quantum critical point (QCP) where a magnetic phase vanishes and its fluctuations proliferate, suggesting unconventional superconductivity mechanisms driven by spin fluctuations. In cuprate superconductors, however, the superconducting transition temperature Tc attains its maximum not at the antiferromagnetic vanishing point, but near the verge of enigmatic pseudogap state that appears below doping-dependent temperature T*. Thus a key question is what kind of fluctuations are associated with the pseudogap. Here we report elastoresistance measurements of nematic susceptibility in (Bi,Pb)2Sr2CaCu2O8+δ, which is sensitive to an electronic order with twofold in-plane anisotropy. The nematic susceptibility shows an anomaly at T*, evidencing a phase transition with broken rotational symmetry. Near the pseudogap end point, nematic susceptibility becomes singular and divergent. This signifies the presence of a nematic QCP, which has emerging links to the high-Tc superconductivity and strange metallic behaviors in cuprates.
References
- 1 B. Keimer, S. A. Kivelson, M. R. Norman, S. Uchida, and J. Zaanen, Nature 518, 179 (2015). 10.1038/nature14165 Crossref, Google Scholar
- 2 A. Shekhter, B. J. Ramshaw, R. Liang, W. N. Hardy, D. A. Bonn, F. F. Balakirev, R. D. McDonald, J. B. Betts, S. C. Riggs, and A. Migliori, Nature 498, 75 (2013). 10.1038/nature12165 Crossref, Google Scholar
- 3 L. Zhao, C. A. Belvin, R. Liang, D. A. Bonn, W. N. Hardy, N. P. Armitage, and D. Hsieh, Nat. Phys. 13, 250 (2017). 10.1038/nphys3962 Crossref, Google Scholar
- 4 Y. Sato, S. Kasahara, H. Murayama, Y. Kasahara, E.-G. Moon, T. Nishizaki, T. Loew, J. Porras, B. Keimer, T. Shibauchi, and Y. Matsuda, Nat. Phys. 13, 1074 (2017). 10.1038/nphys4205 Crossref, Google Scholar
- 5 C. M. Varma, Phys. Rev. B 55, 14554 (1997). 10.1103/PhysRevB.55.14554 Crossref, Google Scholar
- 6 R. A. Cooper, Y. Wang, B. Vignolle, O. J. Lipscombe, S. M. Hayden, Y. Tanabe, T. Adachi, Y. Koike, M. Nohara, H. Takagi, C. Proust, and N. E. Hussey, Science 323, 603 (2009). 10.1126/science.1165015 Crossref, Google Scholar
- 7 A. Legros, S. Benhabib, W. Tabis, F. Laliberté, M. Dion, M. Lizaire, B. Vignolle, D. Vignolles, H. Raffy, Z. Z. Li, P. Auban-Senzier, N. Doiron-Leyraud, P. Fournier, D. Colson, L. Taillefer, and C. Proust, Nat. Phys. 15, 142 (2019). 10.1038/s41567-018-0334-2 Crossref, Google Scholar
- 8 B. J. Ramshaw, S. E. Sebastian, R. D. McDonald, J. Day, B. S. Tan, Z. Zhu, J. B. Betts, R. Liang, D. A. Bonn, W. N. Hardy, and N. Harrison, Science 348, 317 (2015). 10.1126/science.aaa4990 Crossref, Google Scholar
- 9 B. Michon, C. Girod, S. Badoux, J. Kačmarčik, Q. Ma, M. Dragomir, H. Dabkowska, B. Gaulin, S. Zhou, S. Pyon, T. Takayama, H. Takagi, S. Verret, N. Doiron-Leyraud, C. Marcenat, L. Taillefer, and T. Klein, Nature 567, 218 (2019). 10.1038/s41586-019-0932-x Crossref, Google Scholar
- 10 J.-H. Chu, H.-H. Kuo, J. G. Analytis, and I. R. Fisher, Science 337, 710 (2012). 10.1126/science.1221713 Crossref, Google Scholar
- 11 H.-H. Kuo, J.-H. Chu, J. C. Palmstrom, S. A. Kivelson, and I. R. Fisher, Science 352, 958 (2016). 10.1126/science.aab0103 Crossref, Google Scholar
- 12 V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Science 319, 597 (2008). 10.1126/science.1152309 Crossref, Google Scholar
- 13 R. Daou, J. Chang, D. LeBoeuf, O. Cyr-Choiniere, F. Laliberté, N. Doiron-Leyraud, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature 463, 519 (2010). 10.1038/nature08716 Crossref, Google Scholar
- 14 K. Fujita, C. K. Kim, I. Lee, J. Lee, M. H. Hamidian, I. A. Firmo, S. Mukhopadhyay, H. Eisaki, S. Uchida, M. J. Lawler, E.-A. Kim, and J. C. Davis, Science 344, 612 (2014). 10.1126/science.1248783 Crossref, Google Scholar
- 15 S. Nakata, M. Horio, K. Koshiishi, K. Hagiwara, C. Lin, M. Suzuki, S. Ideta, K. Tanaka, D. Song, Y. Yoshida, H. Eisaki, and A. Fujimori, arXiv:1811.10028. Google Scholar
- 16 S. Hosoi, K. Matsuura, K. Ishida, H. Wang, Y. Mizukami, T. Watashige, S. Kasahara, Y. Matsuda, and T. Shibauchi, Proc. Natl. Acad. Sci. U.S.A. 113, 8139 (2016). 10.1073/pnas.1605806113 Crossref, Google Scholar
- 17 I. Paul and M. Garst, Phys. Rev. Lett. 118, 227601 (2017). 10.1103/PhysRevLett.118.227601 Crossref, Google Scholar
- 18 T. Watanabe, T. Fujii, and A. Matsuda, Phys. Rev. Lett. 79, 2113 (1997). 10.1103/PhysRevLett.79.2113 Crossref, Google Scholar
- 19 T. Usui, D. Fujiwara, S. Adachi, H. Kudo, K. Murata, H. Kushibiki, T. Watanabe, K. Kudo, T. Nishizaki, N. Kobayashi, S. Kimura, K. Yamada, T. Naito, T. Noji, and Y. Koike, J. Phys. Soc. Jpn. 83, 064713 (2014). 10.7566/JPSJ.83.064713 Link, Google Scholar
- 20 N. Auvray, B. Loret, S. Benhabib, M. Cazayous, R. D. Zhong, J. Schneeloch, G. D. Gu, A. Forget, D. Colson, I. Paul, A. Sacuto, and Y. Gallais, Nat. Commun. 10, 5209 (2019). 10.1038/s41467-019-12940-w Crossref, Google Scholar
- 21 M. Hashimoto, I. M. Vishik, R.-H. He, T. P. Devereaux, and Z.-X. Shen, Nat. Phys. 10, 483 (2014). 10.1038/nphys3009 Crossref, Google Scholar
- 22 L. Ozyuzer, J. F. Zasadzinski, K. E. Gray, C. Kendziora, and N. Miyakawa, Europhys. Lett. 58, 589 (2002). 10.1209/epl/i2002-00436-6 Crossref, Google Scholar
- 23 K. K. Gomes, A. N. Pasupathy, A. Pushp, S. Ono, Y. Ando, and A. Yazdani, Nature 447, 569 (2007). 10.1038/nature05881 Crossref, Google Scholar
- 24 A. Sacuto, Y. Gallais, M. Cazayous, S. Blanc, M.-A. Méasson, J. Wen, Z. Xu, G. Gu, and D. Colson, Compt. Rend. Phys. 12, 480 (2011). 10.1016/j.crhy.2011.04.001 Crossref, Google Scholar
- 25 S. Kasahara, T. Watashige, T. Hanaguri, Y. Kohsaka, T. Yamashita, Y. Shimoyama, Y. Mizukami, R. Endo, H. Ikeda, K. Aoyama, T. Terashima, S. Uji, T. Wolf, H. v. Löhneysen, T. Shibauchi, and Y. Matsuda, Proc. Natl. Acad. Sci. U.S.A. 111, 16309 (2014). 10.1073/pnas.1413477111 Crossref, Google Scholar
- 26 S. Lederer, Y. Schattner, E. Berg, and S. A. Kivelson, Proc. Natl. Acad. Sci. U.S.A. 114, 4905 (2017). 10.1073/pnas.1620651114 Crossref, Google Scholar
- 27 S. Licciardello, J. Buhot, J. Lu, J. Ayres, S. Kasahara, Y. Matsuda, T. Shibauchi, and N. E. Hussey, Nature 567, 213 (2019). 10.1038/s41586-019-0923-y Crossref, Google Scholar
- 28 X. Wang and E. Berg, Phys. Rev. B 99, 235136 (2019). 10.1103/PhysRevB.99.235136 Crossref, Google Scholar
- 29 S. Benhabib, A. Sacuto, M. Civelli, I. Paul, M. Cazayous, Y. Gallais, M.-A. Méasson, R. D. Zhong, J. Schneeloch, G. D. Gu, D. Colson, and A. Forget, Phys. Rev. Lett. 114, 147001 (2015). 10.1103/PhysRevLett.114.147001 Crossref, Google Scholar
- 30 K. Kawaguchi, Y. Yamakawa, M. Tsuchiizu, and H. Kontani, J. Phys. Soc. Jpn. 86, 063707 (2017). 10.7566/JPSJ.86.063707 Link, Google Scholar
- 31 S. Mukhopadhyay, R. Sharma, C. K. Kim, S. D. Edkins, M. H. Hamidian, H. Eisaki, S. Uchida, E.-A. Kim, M. J. Lawler, A. P. Mackenzie, J. C. Davis, and K. Fujita, Proc. Natl. Acad. Sci. U.S.A. 116, 13249 (2019). 10.1073/pnas.1821454116 Crossref, Google Scholar
- 32 L. Nie, G. Tarjus, and S. A. Kivelson, Proc. Natl. Acad. Sci. U.S.A. 111, 7980 (2014). 10.1073/pnas.1406019111 Crossref, Google Scholar
- 33 S. De Almeida-Didry, Y. Sidis, V. Balédent, F. Giovannelli, I. Monot-Laez, and P. Bourges, Phys. Rev. B 86, 020504(R) (2012). 10.1103/PhysRevB.86.020504 Crossref, Google Scholar
- 34 A. Kaminski, S. Rosenkranz, H. M. Fretwell, J. C. Campuzano, Z. Li, H. Ray, W. G. Cullen, H. You, C. G. Olson, C. M. Varma, and H. Hochst, Nature 416, 610 (2002). 10.1038/416610a Crossref, Google Scholar
- 35 C. M. Varma, Phys. Rev. B 73, 155113 (2006). 10.1103/PhysRevB.73.155113 Crossref, Google Scholar
- 36 M. H. Fischer and E.-A. Kim, Phys. Rev. B 84, 144502 (2011). 10.1103/PhysRevB.84.144502 Crossref, Google Scholar
- 37 T. Watanabe, T. Usui, S. Adachi, Y. Teramoto, M. M. Dobroka, I. Kakeya, A. Kondo, K. Kindo, and S. Kimura, Phys. Rev. B 94, 174517 (2016). 10.1103/PhysRevB.94.174517 Crossref, Google Scholar
- 38 M. R. Presland, J. L. Tallon, R. G. Buckley, R. S. Liu, and N. E. Flower, Physica C 176, 95 (1991). 10.1016/0921-4534(91)90700-9 Crossref, Google Scholar
- 39 H.-H. Kuo, M. C. Shapiro, S. C. Riggs, and I. R. Fisher, Phys. Rev. B 88, 085113 (2013). 10.1103/PhysRevB.88.085113 Crossref, Google Scholar