Theory of real space imaging of Fermi surfaces

Abstract

A scanning tunneling microscope can be used to visualize in real space Fermi surfaces with buried impurities far below substrates acting as local probes. A theory describing this feature is developed based on the stationary phase approximation. It is demonstrated how a Fermi surface of a material acts as a mirror focusing electrons that scatter at hidden impurities.

10 pages, 4 figures

References in corpus (4)

• Quantum Holographic Encoding in a Two-dimensional Electron Gas
• Method to determine defect positions below a metal surface by STM
• Signature of Fermi surface anisotropy in point contact conductance in the presence of defects
• Magneto-orientation and quantum size effect in SP-STM conductance in the presence of a subsurface magnetic cluster

Cited by in corpus (33)

• Experimental demonstration of a two-band superconducting state for lead using scanning tunneling spectroscopy
• Interplay between Kondo effect and Ruderman-Kittel-Kasuya-Yosida interaction
• Mapping Itinerant Electrons around Kondo Impurities
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• Long-range focusing of magnetic bound states in superconducting lanthanum
• Quantum well states and amplified spin-dependent Friedel oscillations in thin films
• Strongly anisotropic RKKY interaction in monolayer black phosphorus
• $k_z$ selective scattering within Quasiparticle Interference measurements of FeSe
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• FeSe and the missing electron pocket problem
• Mesoscopic electron focusing in topological insulators
• Ab-initio Theory of Fourier-transformed Quasiparticle Interference Maps and Application to the Topological Insulator Bi${}_2$Te${}_3$
• Instability of the ferromagnetic quantum critical point in strongly interacting 2D and 3D electron gases with arbitrary spin-orbit splitting
• On the nature of quasiparticle interference in three dimensions
• Quasiparticle focusing of bound states in two-dimensional $s$-wave superconductors
• First-principles investigation of spin wave dispersions in surface-reconstructed Co thin films on W(110)
• Friedel oscillations induced by magnetic skyrmions: from scattering properties to all-electrical detection
• Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems
• RKKY-like contributions to the magnetic anisotropy energy: 3d adatoms on Pt(111) surface
• Selective generation and amplification of RKKY interactions by P-N interface
• Fermi surface contours obtained from STM images around surface point defects
• Disorder effects in spiral spin liquids: Long-range spin textures, Friedel-like oscillations, and spiral spin glasses
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Distinct quasiparticle interference patterns for surface impurity scattering on various Weyl semimetals
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Detecting the topological winding of superconducting nodes via Local Density of States
• Scanning Tunneling Spectroscopy of Subsurface Ag and Ge Impurities in Copper
• Quasiparticle scattering in three-dimensional topological insulators near the thickness limit
• Bringing ultimate depth to scanning tunnelling microscopy: deep subsurface vision of buried nano-objects in metals
• Dimensionality effects in the LDOS of ferromagnetic hosts probed via STM: spin-polarized quantum beats and spin filtering
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• Tomographic mapping of the hidden dimension in quasi-particle interference