2D compressibility of surface states on 3D topological insulators

Abstract

We develop a theory for the compressibility of the surface states of 3D topological insulators and propose that surface probes of the compressibility via scanning single electron transistor microscopy will be a straightforward way to access the topological states without interference from the bulk states. We describe the single-particle nature of the surface states taking into account an accurate Hamiltonian for the bands and then include the contribution from electron--electron interactions and discuss the implications of the ultra-violet cutoff, including the universality of the exchange contribution when expressed in dimensionless units. We also compare the theory with experimentally obtained dμ/dn as extracted from angle-resolved photoemission spectroscopy measurements. Finally, we point out that interaction-driven renormalization of the Fermi velocity may be discernible via this technique.

5 pages, 5 figures, RevTeX

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Cited by in corpus (4)

• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Multiphoton excitation and high-harmonics generation in topological insulator
• Landau theory of helical Fermi liquids
• Switchable quantized conductance in topological insulators revealed by the Shockley-Ramo theorem