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Published January 2010 | public
Journal Article

Quantum oscillations from Fermi arcs

Abstract

When a metal is subjected to a strong magnetic field B, nearly all measurable quantities show oscillations periodic in 1/B. Such quantum oscillations represent a canonical probe of the defining aspect of a metal, its Fermi surface. Recent breakthrough experiments demonstrating the existence of unambiguous quantum oscillations in a cuprate superconductor, YBa_(2)Cu_(3)O_(6.51), contradict the well-established result of many angle resolved photoemission studies, which consistently indicate 'Fermi arcs'—truncated segments of a Fermi surface—in the normal state of the cuprates. In this study, with the goal of reconciling the above disagreement, we introduce a mechanism for quantum oscillations that requires only finite segments of a Fermi surface. We show that oscillations periodic in 1/B can occur if the Fermi surface segments are terminated by a pairing gap and present arguments that these oscillations are in fact occurring in the cuprates.

Additional Information

© 2010 Nature Publishing Group. Received 24 April 2009; accepted 15 September 2009; published online 1 November 2009. The authors acknowledge discussions with D. Bonn, W. Hardy, B. Seradjeh, L. Taillefer, Z. Te²anovi¢, O. Vafek, M. Vojta and N.-C. Yeh. The work was supported in part by NSERC, CIfAR (M.F.), DFG through SFB 608 (H.W.), the Packard Foundation and the Research Corporation (G.R.). T.P.B. and H.W. contributed equally to this work. T.P.B. carried out the semiclassical analysis, H.W. carried out the lattice computations and G.R. and M.F. advised. The authors declare no competing financial interests. Supplementary information accompanies this paper on www.nature.com/naturephysics. Reprints and permissions information is available online at http://npg.nature.com/reprintsandpermissions. Correspondence and requests for materials should be addressed to T.P.B.

Additional details

Created:
August 21, 2023
Modified:
October 19, 2023