Holographic Maps of Quasiparticle Interference

Abstract

The analysis of Fourier-transformed scanning-tunneling-microscopy (STM) images with subatomic resolution is a common tool for studying properties of quasiparticle excitations in strongly correlated materials. While Fourier amplitudes are generally complex valued, earlier analysis mostly considered only their absolute values. Their complex phases were deemed random, and thus irrelevant, due to the unknown positions of impurities in the sample. Here we show how to factor out these random phases by analysing overlaps between Fourier amplitudes that differ by reciprocal lattice vectors. The resulting holographic maps provide important and previously-unknown information about the electronic structures of materials. When applied to superconducting cuprates, our method solves a long-standing puzzle of the dichotomy between equivalent wavevectors. We show that $d$-wave Wannier functions of the conduction band provide a natural explanation for experimental results that were interpreted as evidence for competing unconventional charge modulations. Our work opens a new pathway to identify the nature of electronic states in STM measurements.

10+14 pages, 5+9 figures

References in corpus (11)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
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• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Bond order instabilities in a correlated two-dimensional metal
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• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Charge ordering in three-band models of the cuprates

Cited by in corpus (10)

• Topological Materials Discovery from Crystal Symmetry
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Quasiparticle Interference Studies of Quantum Materials
• Distinct fingerprints of charge density waves and electronic standing waves in ZrTe${}_3$
• The study of electronic nematicity in an overdoped (Bi, Pb)${}_2$Sr${}_2$CuO${}_{6+\delta }$ superconductor using scanning tunneling spectroscopy
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries
• Phase-sensitive determination of nodal $\mathbf{d}$-wave order parameter in single-band and multiband superconductors
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Quasiparticle scattering interference in cuprate superconductors