Trigonal warping in bilayer graphene: Energy versus entanglement spectrum

Sonja Predin, Paul Wenk, and John Schliemann
Phys. Rev. B 93, 115106 – Published 2 March 2016

Abstract

We present a mainly analytical study of the entanglement spectrum of Bernal-stacked graphene bilayers in the presence of trigonal warping in the energy spectrum. Upon tracing out one layer, the entanglement spectrum shows qualitative geometric differences to the energy spectrum of a graphene monolayer. However, topological quantities such as Berry-phase-type contributions to Chern numbers agree. The latter analysis involves not only the eigenvalues of the entanglement Hamiltonian but also its eigenvectors. We also discuss the entanglement spectra resulting from tracing out other sublattices. As a technical basis of our analysis, we provide closed analytical expressions for the full eigensystem of bilayer graphene in the entire Brillouin zone with a trigonally warped spectrum.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 21 December 2015
  • Revised 10 February 2016

DOI:https://doi.org/10.1103/PhysRevB.93.115106

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Sonja Predin, Paul Wenk, and John Schliemann

  • Institute for Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 93, Iss. 11 — 15 March 2016

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×