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, YBa2Cu3O6.51, 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.
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Acknowledgements
The authors acknowledge discussions with D. Bonn, W. Hardy, B. Seradjeh, L. Taillefer, Z. Tešanović, 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.).
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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.
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Pereg-Barnea, T., Weber, H., Refael, G. et al. Quantum oscillations from Fermi arcs. Nature Phys 6, 44–49 (2010). https://doi.org/10.1038/nphys1431
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DOI: https://doi.org/10.1038/nphys1431
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