Effect of perturbative hexagonal warping on quantum capacitance in ultra-thin topological insulators

Anirudha Menon, Debashree Chowdhury, Banasri Basu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal warping term, and this shows it to be a perturbation in the presence of a magnetic field. We find that there are corrections to both energy dispersion and eigenstates which in turn alter the density of states in the presence of a magnetic field. Both the quantum capacitance and the Hall coefficient are evaluated analytically and it is shown here that we recover their established forms along with small corrections which preserve the object of treating hexagonal warping perturbatively. In our approach, the established Hall conductivity expression develops several minute correction terms and thus its behavior remains largely unaffected due to warping. The zero-temperature quantum capacitance exhibits Shubnikov-de Haas oscillations with reduced frequencies, with a lowered average capacitance with increased warping of the Fermi surface, while maintaining the usual amplitudes.

Original languageEnglish
Article number135003
JournalJournal Physics D: Applied Physics
Issue number13
StatePublished - 29 Feb 2016
Externally publishedYes


  • Topological insulator
  • hexagonal warping
  • quantum capacitance

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films


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