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Fermi surface reconstruction by a charge density wave with finite correlation length

Yuval Gannot, B. J. Ramshaw, and Steven A. Kivelson
Phys. Rev. B 100, 045128 – Published 22 July 2019
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  • INTRODUCTION
  • MODEL
  • REVIEW OF SEMICLASSICAL ANALYSIS IN THE…
  • SEMICLASSICAL ANALYSIS WITH A CDW…
  • GENERAL RESULT
  • RECONSTRUCTIONS IN THE CUPRATES
  • BERRY PHASE APPROACH
  • DINGLE FACTORS
  • NUMERICS
  • APPLICATION TO YBCO
  • SUMMARY
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    Even a small amplitude charge-density wave (CDW) can reconstruct a Fermi surface, giving rise to new quantum oscillation frequencies. Here, we investigate quantum oscillations when the CDW has a finite correlation length ξ—a case relevant to the hole-doped cuprates. By considering the Berry phase induced by a spatially varying CDW phase, we derive an effective Dingle factor that depends exponentially on the ratio of the cyclotron orbit radius, Rc, to ξ. In the context of YBa2Cu3Oy (YBCO), we conclude that the values of ξ reported to date for bidirectional CDW order are, prima facie, too short to account for the observed Fermi surface reconstruction; on the other hand, the values of ξ for the unidirectional CDW are just long enough.

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    • Received 28 May 2019

    DOI:https://doi.org/10.1103/PhysRevB.100.045128

    ©2019 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Charge density wavesCharge orderFermi surfaceLandau levels
    1. Physical Systems
    Cuprates
    1. Techniques
    Quantum oscillation techniques
    Condensed Matter, Materials & Applied Physics

    Authors & Affiliations

    Yuval Gannot1,*, B. J. Ramshaw2, and Steven A. Kivelson1

    • 1Department of Physics, Stanford University, Stanford, California 94305, USA
    • 2Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

    • *ygannot@stanford.edu

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    Issue

    Vol. 100, Iss. 4 — 15 July 2019

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    Images

    • Figure 1
      Figure 1

      Reconstruction by a Q=(1/3)(2π/a) CDW in the model Hamiltonian. Top: k-space cyclotron orbit, visualized in terms of scattering across the unreconstructed Fermi surface. For clarity, each scattering process is folded back into the first Brillouin zone. Bottom: Corresponding real-space orbit.

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    • Figure 2
      Figure 2

      Effective scattering near real space scattering point.

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    • Figure 3
      Figure 3

      Proposed reconstruction by bidirectional order in the cuprates.

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    • Figure 4
      Figure 4

      Proposed reconstruction by unidirectional order in YBCO, with nematic distortion of the underlying Fermi surface.

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    • Figure 5
      Figure 5

      Numerically computed QOs in the density of states for several values of ξ. Parameter values indicated in the main text.

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    • Figure 6
      Figure 6

      Comparison of QOs for disordering via DCs and smoothly varying phase, for ξ=400 (top) and ξ=100 (bottom).

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    • Figure 7
      Figure 7

      Position-resolved density of states with a single DC at x=0, whose phase slips by +2π/3 (top) or −2π/3 (bottom) as x increases. Red dashed lines mark ±Rc.

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    • Figure 8
      Figure 8

      Raw (top) and background-removed (bottom) data for y=6.59. We extract BD from the 4 K data, where the second harmonic is suppressed by temperature. We divide out the factor RT=2π2kBTℏωc/sinh(2π2kBTℏωc), where the cyclotron frequency ωc=eB/m★ is known from previous measurements [26]. The data is then scaled by e+BD/B, with BD chosen so that the amplitude is field-independent.

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