Inequivalence of the zero-momentum Limits of Transverse and Longitudinal Dielectric Response in the Cuprates

 · Invited

Abstract

In this talk, I will address the question of the mismatch between the zero momentum limits of the transverse (optical conductivity) and longitudinal (momentum resolved EELS) dielectric functions observed in the cuprates. This question translates to whether or not the order in which the longitudinal and transverse momentum transfers are taken to zero commute. While the two limits commute for both isotropic and anisotropic Drude metals, I will argue that a scaleless vertex interaction is sufficient to achieve non-commutativity of the two limits even for a system that is inherently isotropic.

*1) Center for Emergent Superconductivity, DOE EFRC, Grant No. DE- AC0298CH1088.
2) NSF DMR-1461952
3) EPiQS program of the Gordon and Betty Moore Foundation, grant GBMF4542
4) Alexander von Humboldt Foundation: Feodor Lynen Fellowship program.

Presenters

  • Chandan Setty

    • University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign

Authors

  • Chandan Setty

    • University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Bikash Padhi

    • University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Kridsanaphong Limtragool

    • University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Ali Husain

    • University of Illinois at Urbana-Champaign
    • Department of Physics and Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Matteo Mitrano

    • University of Illinois at Urbana-Champaign
    • Department of Physics and Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Peter Abbamonte

    • University of Illinois at Urbana-Champaign
    • University of Illinois Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign
  • Philip Phillips

    • University of Illinois at Urbana-Champaign
    • Physics, University of Illinois at Urbana-Champaign