Low-energy band structure very sensitive to the interlayer distance in Bernal-stacked tetralayer graphene

Kyu Won Lee, Cheol Eui Lee

Research output: Contribution to journalArticlepeer-review


We have investigated Bernal-stacked tetralayer graphene as a function of interlayer distance and perpendicular electric field by using density functional theory calculations. The low-energy band structure was found to be very sensitive to the interlayer distance, undergoing a metal-insulator transition. It can be attributed to the nearest-layer coupling that is more sensitive to the interlayer distance than are the next-nearest-layer couplings. Under a perpendicular electric field above a critical field, six electric-field-induced Dirac cones with mass gaps predicted in tight-binding models were confirmed, however, our density functional theory calculations demonstrate a phase transition to a quantum valley Hall insulator, contrasting to the tight-binding model prediction of an ordinary insulator.

Original languageEnglish
Pages (from-to)1393-1398
Number of pages6
JournalCurrent Applied Physics
Issue number11
Publication statusPublished - 2018 Nov

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (Project Nos. 2016R1D1A1A09917003 and 2016R1D1A1B03931144 ). K.W.L. gratefully acknowledges a Korea University research grant.

Publisher Copyright:
© 2018 Korean Physical Society

Copyright 2018 Elsevier B.V., All rights reserved.


  • A. Tetralayer graphene
  • B. Interlayer couplings
  • C. Metal-insulator transition
  • D. Quantum valley Hall effect

ASJC Scopus subject areas

  • General Materials Science
  • General Physics and Astronomy


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