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Modulation of the local density of states within the d-density wave theory of the underdoped cuprates

Amit Ghosal, Angela Kopp, and Sudip Chakravarty
Phys. Rev. B 72, 220502(R) – Published 5 December 2005
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    Abstract

    The low temperature scanning tunneling microscopy spectra in the underdoped regime are analyzed from the perspective of coexisting d-density wave and d-wave superconducting states. The calculations are carried out in the presence of a low concentration of unitary impurities and within the framework of the fully self-consistent Bogoliubov–de Gennes theory, which allows local modulations of the magnitude of the order parameters in response to the impurities. Our theory captures the essential aspects of the experiments in the underdoped Bi2Sr2CaCu2O8+δ (BSCCO) at very low temperatures.

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    • Received 10 November 2005

    DOI:https://doi.org/10.1103/PhysRevB.72.220502

    ©2005 American Physical Society

    Authors & Affiliations

    Amit Ghosal, Angela Kopp, and Sudip Chakravarty

    • Department of Physics, University of California Los Angeles, Los Angeles, California 90095-1547, USA

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    Issue

    Vol. 72, Iss. 22 — 1 December 2005

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    Images

    • Figure 1
      Figure 1
      Density plots on a linear scale of the FT-LDOS within the first Brillouin zone in the kx−ky plane. The panels (a)–(f) correspond to different energies, ω, for the coexisting DDW+DSC phase. Here nimp=0.01 and V0=100. Peaks at q*∼0.15(2π) are clear in panels (a)–(d). At smaller energies, panels (e) and (f) q* peaks are absent and a broad peak appears near q=0, whose width decreases with increasing ∣ω∣. The strength of the peak at (0,0) is reduced for clarity.Reuse & Permissions
    • Figure 2
      Figure 2
      FT-LDOS as in Fig. 1 but for DDW (χ0≈0.28). DSC order is forced to zero on all sites. Qualitative features are similar to Fig. 1 for a wide range of ω.Reuse & Permissions
    • Figure 3
      Figure 3
      Top panel: dispersion of q* (in units of 2π) with ω in an impure DDW+DSC phase. Bottom panel: the same as in top panel but for the DDW phase. The error bars are about the size of the symbols.Reuse & Permissions
    • Figure 4
      Figure 4
      Impurity averaged normalized DOS, N(ω), for coexisting DDW+DSC for nimp=0.01. The spectrum is asymmetric and low-energy humps appear around Δ0. The inset corresponds to DDW (χ0≈0.28) and DSC (Δ0≈0.196), with nimp=0.01, J=1.4, and W=0.5.Reuse & Permissions
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