DOI: 10.1126/science.285.5436.2110. Evidence for Quantum Critical Behavior in the Optimally Doped Cuprate Bi 2 Sr 2 CaCu 2 O 8+δ

Evidence for Quantum Critical Behavior in the Optimally Doped Cuprate Bi 2 Sr 2 CaCu 2 O 8+δ

10.1126/science.285.5436.2110

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

The photoemission line shapes of the optimally doped cuprate Bi 2 Sr 2 CaCu 2 O 8+δ were studied in the direction of a node in the superconducting order parameter by means of very high resolution photoemission spectroscopy. The peak width or inverse lifetime of the excitation displays a linear temperature dependence, independent of binding energy, for small energies, and a linear energy dependence, independent of temperature, for large binding energies. This behavior is unaffected by the superconducting transition, which is an indication that the nodal states play no role in the superconductivity. Temperature-dependent scaling suggests that the system displays quantum critical behavior.

Bibliography

Valla, T., Fedorov, A. V., Johnson, P. D., Wells, B. O., Hulbert, S. L., Li, Q., Gu, G. D., & Koshizuka, N. (1999). Evidence for Quantum Critical Behavior in the Optimally Doped Cuprate Bi 2 Sr 2 CaCu 2 O 8+Î´. Science, 285(5436), 2110â2113.

Authors 8

T. Valla (first)
A. V. Fedorov (additional)
P. D. Johnson (additional)
B. O. Wells (additional)
S. L. Hulbert (additional)
Q. Li (additional)
G. D. Gu (additional)
N. Koshizuka (additional)

References 32 Referenced 502

P. W. Anderson The Theory of Superconductivity in the High- T c Cuprates (Princeton Univ. Press Princeton NJ 1997).
Campuzano J. C., et al., Phys. Rev. Lett. 64, 2308 (1990); (10.1103/PhysRevLett.64.2308) / Phys. Rev. Lett. by Campuzano J. C. (1990)
Dessau D. S. et al. 71 2781 (1993); (10.1103/PhysRevLett.71.4278)
; P. Aebi et al. ibid. 72 2757 (1994).
Wells B. O., et al., Phys. Rev. B 46, 11830 (1992); (10.1103/PhysRevB.46.11830) / Phys. Rev. B by Wells B. O. (1992)
10.1103/PhysRevLett.70.1553
10.1103/PhysRevB.54.R9678
10.1126/science.273.5273.325
Ding H., et al., Nature 382, 51 (1996). (10.1038/382051a0) / Nature by Ding H. (1996)
D. Pines and P. Nozieres The Theory of Quantum Liquids (Benjamin New York 1969).
G. Grimvall The Electron-Phonon Interaction in Metals (North-Holland New York 1981).
Chakravarty S., Halperin B. I., Nelson D. R., Phys. Rev. B 39, 2344 (1989); (10.1103/PhysRevB.39.2344) / Phys. Rev. B by Chakravarty S. (1989)
Sachdev S., Ye J., Phys. Rev. Lett. 69, 2411 (1992); (10.1103/PhysRevLett.69.2411) / Phys. Rev. Lett. by Sachdev S. (1992)
Sokol A. Pines D. 71 2813 (1993); (10.1103/PhysRevLett.71.2813)
; V. J. Emery and S. A. Kivelson ibid. p. 3701; C. Castellani C. Di Castro M. Grilli ibid. 75 4650 (1995); (10.1103/PhysRevLett.75.4650)
Varma C. M., Phys. Rev. B 55, 14554 (1997). (10.1103/PhysRevB.55.14554) / Phys. Rev. B by Varma C. M. (1997)
Gurvitch M., Fiory A. T., Phys. Rev. Lett. 59, 1337 (1987). (10.1103/PhysRevLett.59.1337) / Phys. Rev. Lett. by Gurvitch M. (1987)
Puchkov A. V., Basov D. N., Timusk T., J. Phys. Condens. Mater. 8, 10049 (1996). (10.1088/0953-8984/8/48/023) / J. Phys. Condens. Mater. by Puchkov A. V. (1996)
The experimental studies reported here were carried out on a Scienta hemispherical analyzer. The instrument has an angular resolution of ±0.1° or better and in the present studies an energy resolution of ∼10 meV. The total spectral response may be measured as a function of angle and energy simultaneously. Photons were provided either by a resonance lamp or by a normal incidence monochromator based at the National Synchrotron Light Source. In the photon energy range used 15 to 21.2 eV the angular resolution of the instrument results in a momentum resolution on the order of 0.005 Å −1 . Samples of optimally doped ( T c = 91 K) Bi 2 Sr 2 CaCu 2 O 8+δ produced by the floating zone method [
Gu G. D., Takamuku K., Koshizuka N., Tanaka S., J. Crystallogr. Growth 130, 325 (1990); (10.1016/0022-0248(93)90872-T) / J. Crystallogr. Growth by Gu G. D. (1990)
] were mounted on a liquid He cryostat and cleaved in situ in the ultra-high vacuum chamber with base pressure 2 × 10 −9 Pa. During the recording of each spectrum the temperature was measured with a silicon sensor mounted near the sample.
J. E. Inglesfield and E. W. Plummer in Angle-Resolved Photoemission S. D. Kevan Ed. (Elsevier Amsterdam 1992).
Krakauer H., Pickett W. E., Phys. Rev. Lett. 60, 1665 (1988). (10.1103/PhysRevLett.60.1665) / Phys. Rev. Lett. by Krakauer H. (1988)
N. W. Ashcroft and N. D. Mermin Solid State Physics (Saunders Philadelphia PA 1976) chap. 13.
P. B. Allen in Quantum Theory of Real Materials J. R. Chelikowsky and S. G. Louie Eds. (Kluwer Boston 1996) pp. 219–250. (10.1007/978-1-4613-0461-6_17)
Fedorov A. V., et al., Phys. Rev. Lett. 82, 2179 (1999). (10.1103/PhysRevLett.82.2179) / Phys. Rev. Lett. by Fedorov A. V. (1999)
Valla T. Fedorov A. V. Johnson P. D. Hulbert S. L. 83 2085 (1999). (10.1103/PhysRevLett.83.2085)
Olson C., et al., Phys. Rev. B 42, 381 (1990). (10.1103/PhysRevB.42.381) / Phys. Rev. B by Olson C. (1990)
Varma C. M., Littlewood P. B., Schmitt-Rink S., Abrahams E., Ruckenstein A. E., Phys. Rev. Lett. 63, 1936 (1989). (10.1103/PhysRevLett.63.1996) / Phys. Rev. Lett. by Varma C. M. (1989)
P. W. Anderson in Frontiers and Borderlines in Many-Particle Physics (North-Holland Amsterdam 1987).
Aeppli G., et al., Science 278, 21 (1997). (10.1126/science.278.5342.1432) / Science by Aeppli G. (1997)
We thank V. J. Emery V. N. Muthukumar R. J. Gooding and S. A. Kivelson for useful discussions. Supported in part by the Department of Energy under contract number DE-AC02-98CH10886 and in part by the New Energy and Industrial Technology Development Organization.

Dates

Type	When
Created	23 years, 1 month ago (July 27, 2002, 5:42 a.m.)
Deposited	1 year, 7 months ago (Jan. 13, 2024, 4:02 a.m.)
Indexed	1 week, 1 day ago (Aug. 19, 2025, 6:32 a.m.)
Issued	25 years, 11 months ago (Sept. 24, 1999)
Published	25 years, 11 months ago (Sept. 24, 1999)
Published Print	25 years, 11 months ago (Sept. 24, 1999)

Funders 0

None

BibTeX

@article{Valla_1999, title={Evidence for Quantum Critical Behavior in the Optimally Doped Cuprate Bi 2 Sr 2 CaCu 2 O 8+δ}, volume={285}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.285.5436.2110}, DOI={10.1126/science.285.5436.2110}, number={5436}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Valla, T. and Fedorov, A. V. and Johnson, P. D. and Wells, B. O. and Hulbert, S. L. and Li, Q. and Gu, G. D. and Koshizuka, N.}, year={1999}, month=sep, pages={2110–2113} }

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