Abstract
All conventional metals are known to possess a three-dimensional Fermi surface, which is the locus in reciprocal space of the long-lived electronic excitations that govern their electronic properties at low temperatures. These excitations should have well-defined momenta with components in all three dimensions. The high-transition-temperature (high-Tc) copper oxide superconductors have unusual, highly two-dimensional properties above the superconducting transition1. This, coupled with a lack of unambiguous evidence for a three-dimensional Fermi surface, has led to many new and exotic models for the underlying electronic ground state2. Here we report the observation of polar angular magnetoresistance oscillations3 in the overdoped superconductor Tl2Ba2CuO6+δ in high magnetic fields, which firmly establishes the existence of a coherent three-dimensional Fermi surface. Analysis of the oscillations reveals that at certain symmetry points, however, this surface is strictly two-dimensional. This striking form of the Fermi surface topography, long-predicted by electronic band structure calculations4, provides a natural explanation for a wide range of anisotropic properties both in the normal5,6 and superconducting states7,8,9. Our data reveal that, despite their extreme electrical anisotropy, the high-Tc materials at high doping levels can be understood within a framework of conventional three-dimensional metal physics.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Ong, N. P. Non-Fermi-liquid aspects of charge-transport in cuprate superconductors. Physica C 235, 221–224 (1994)
Orenstein, J. & Millis, A. J. Advances in the physics of high temperature superconductivity. Science 288, 468–474 (2000)
Yamaji, K. On the angle dependence of the magnetoresistance in quasi-two-dimensional organic superconductors. J. Phys. Soc. Jpn 58, 1520–1522 (1989)
Andersen, O. K., Liechtenstein, A. I., Jepsen, O. & Paulsen, F. LDA energy bands, low-energy Hamiltonians t′, t″, t⊥(k) and J⊥ . J. Phys. Chem. Solids 56, 1573–1591 (1995)
Ioffe, L. B. & Millis, A. J. Zone-diagonal-dominated transport in high-Tc cuprates. Phys. Rev. B 58, 11631–11637 (1998)
van der Marel, D. Anisotropy of the optical conductivity of high-Tc cuprates. Phys. Rev. B 60, R765–R769 (1999)
Xiang, T. & Wheatley, J. M. c-axis superfluid response of copper oxide superconductors. Phys. Rev. Lett. 77, 4632–4635 (1996)
Wu, C., Xiang, T. & Su, Z.-B. Absence of the zero bias peak in vortex tunneling spectra of high-temperature superconductors. Phys. Rev. B 62, 14427–14430 (2000)
Franz, M. & Tesanovic, Z. Quasiparticle spectra in the vicinity of a d-wave vortex. Phys. Rev. B 60, 3581–3588 (1999)
Kartsovnik, M. V., Laukhin, V. N., Pesotskii, S. I., Schegolev, I. F. & Yakovenko, V. M. Angular magnetoresistance oscillations and the shape of the Fermi surface in β- (ET)2IBr2 . J. Phys. I 2, 89–99 (1992)
Wosnitza, J. et al. The Fermi surfaces of β-(BEDT-TTF)2X. J. Phys. I 6, 1597–1608 (1996)
Mackenzie, A. P., Julian, S. R., Sinclair, D. C. & Lin, C. T. Normal state magnetotransport in superconducting Tl2Ba2CuO6+δ to millikelvin temperatures. Phys. Rev. B. 53, 5848–5854 (1996)
Tyler, A. W. An Investigation into the Magnetotransport Properties of Layered Superconducting Perovskites. Thesis, Univ. Cambridge (1997)
Tyler, A. W. et al. High field study of normal state magnetotransport in Tl2Ba2CuO6+δ . Phys. Rev. B 57, R728–R731 (1998)
Mackenzie, A. P. et al. Resistance upper critical field in Tl2Ba2CuO6 at low temperatures and high magnetic fields. Phys. Rev. Lett. 71, 1238–1241 (1993)
Hussey, N. E. et al. Angular dependence of the c-axis normal state magnetoresistance in single crystal Tl2Ba2CuO6+δ . Phys. Rev. Lett. 76, 122–125 (1996)
Dragulescu, A., Yakovenko, V. M. & Singh, D. J. Theory of angular magnetoresistance oscillations in Tl2Ba2CuO6 . Phys. Rev. B 60, 6312–6315 (1999)
Singh, D. J. & Pickett, W. E. Electronic characteristics of Tl2Ba2CuO6 . Physica C 203, 193–199 (1992)
Bergemann, C., Julian, S. R., Mackenzie, A. P., NishiZaki, S. & Maeno, Y. Detailed topography of the Fermi surface of Sr2RuO4 . Phys. Rev. Lett. 84, 2662–2665 (2000)
Ziman, J. M. Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge, 1972)
Pavarini, E., Dasgupta, I., Saha-Dasgupta, T., Jepsen, O. & Andersen, O. K. Band-structure trend in hole-doped cuprates and correlation with Tcmax . Phys. Rev. Lett. 87, 047003 (2001)
McKenzie, R. H. & Moses, P. Incoherent interlayer transport and angular-dependent magneto-resistance oscillations in layered metals. Phys. Rev. Lett. 81, 4492–4495 (1998)
Kumar, N. & Jayannavar, A. M. Temperature dependence of the c-axis resistivity of high-Tc layered oxides. Phys. Rev. B 45, 5001–5004 (1992)
Tamasaku, K., Ito, T., Takagi, H. & Uchida, S. Interplane charge dynamics in La2-xSrxCuO4 . Phys. Rev. Lett. 72, 3088–3091 (1994)
Damascelli, A., Hussain, Z. & Shen, Z.-X. Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys. 75, 473–541 (2003)
Hussey, N. E. The normal state scattering rate in high-Tc cuprates. Eur. Phys. J. B 31, 495–507 (2003)
Hussey, N. E. Low-energy quasi-particles in high-Tc cuprates. Adv. Phys. 51, 1685–1771 (2002)
Nakamae, S. et al. Electronic ground state of heavily overdoped non-superconducting La2-xSrxCuO4 . Phys. Rev. B 68, 100502 (2003)
Proust, C., Boaknin, E., Hill, R. W., Taillefer, L. & Mackenzie, A. P. Heat transport in a strongly overdoped cuprate: Fermi liquid and a pure d-wave BCS superconductor. Phys. Rev. Lett. 89, 147003 (2002)
Bergemann, C. et al. Quasi-two-dimensional Fermi liquid properties of the unconventional superconductor Sr2RuO4 . Adv. Phys. (in the press)
Acknowledgements
We acknowledge technical support from S. Hannahs, and discussions with O. K. Andersen, C. Bergemann, S. J. Blundell, B. L. Gyorrfy, R. Hlubina, A. J. Leggett, G. Santi and J. A. Wilson. We also acknowledge J. R. Cooper for first recognizing the potential of AMRO studies in Tl2201. This work was supported by EPSRC, the Leverhulme Trust and by a cooperative agreement between the State of Florida and NSF. The crystals were grown by A.P.M., the experiments carried out by M.A.-J., L.B., A.C. and N.E.H., and the analysis performed by M.A.-J. and N.E.H. in discussion with A.P.M.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The authors declare that they have no competing financial interests.
Rights and permissions
About this article
Cite this article
Hussey, N., Abdel-Jawad, M., Carrington, A. et al. A coherent three-dimensional Fermi surface in a high-transition-temperature superconductor. Nature 425, 814–817 (2003). https://doi.org/10.1038/nature01981
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/nature01981
This article is cited by
-
Anomalous anisotropic magnetoresistance in the topological semimetal HoPtBi
NPG Asia Materials (2023)
-
Charge density waves and Fermi surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+δ
Nature Communications (2022)
-
Fermi surface transformation at the pseudogap critical point of a cuprate superconductor
Nature Physics (2022)
-
Quantum phase transition from superconducting to insulating-like state in a pressurized cuprate superconductor
Nature Physics (2022)
-
High-T\(_c\) Cuprates: a Story of Two Electronic Subsystems
Journal of Superconductivity and Novel Magnetism (2022)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.