Cited by 607Topological Materials and PhenomenaMagnetic properties of thin filmsAdvanced Condensed Matter Physics

Massive Dirac fermions and spin physics in an ultrathin film of topological insulator

Open access
Lu, Hai-Zhou, Shan, Wen-Yu, Yao, Wang, Niu, Qian, Shen, Shun-Qing·2010·Physical Review B

Abstract

We study transport and optical properties of the surface states, which lie in the bulk energy gap of a thin-film topological insulator. When the film thickness is comparable with the surface-state decay length into the bulk, the tunneling between the top and bottom surfaces opens an energy gap and form two degenerate massive Dirac hyperbolas. Spin-dependent physics emerges in the surface bands, which are vastly different from the bulk behavior. These include the surface spin Hall effects, spin-dependent orbital magnetic moment, and spin-dependent optical transition selection rule, which allows optical spin injection. We show a topological quantum phase transition where the Chern number of the surface bands changes when varying the thickness of the thin film.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevb.81.115407

Cites

32 of 32 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The sign change of the effective mass accompanying band inversion is closely related to the topological order of a medium.

    “On the other hand, it is known that the sign change of the effective mass accompanying the band inversion is closely related to the topological order of a medium2324.”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 2

  1. [7]7. A. Nishide, A. A. Taskin, Y. Takeichi, T. Okuda, A. Kakizaki, T. Hirahara, K. Nakatsuji, F. Komori, Y. Ando, and I. Matsuda, arXiv:0902.2251 ͑unpublished͒. · arXiv
  2. [22]22. D. Xiao, M. C. Chang, and Q. Niu, arXiv:0907.2021 ͑unpub- lished͒. · arXiv

Cited by

Sorted by citations

Authors
Lu, H.-Z., Shan, W.-Y., Yao, W., Niu, Q., & Shen, S.-Q.
Affiliations
  • University of Hong Kong (HK)
  • The University of Texas at Austin (US)
Venue
Physical Review B
Published
2010-03-03
Volume
81
Issue
11
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2029095318
Cited by
607
References
32
Citations by year
2026: 21 · 2025: 23 · 2024: 29 · 2023: 34 · 2022: 34 · 2021: 30 · 2020: 31 · 2019: 35 · 2018: 41 · 2017: 51 · 2016: 34 · 2015: 52 · 2014: 47 · 2013: 43 · 2012: 40
FWCI
24.87
Type
journal article
Language
en
Open access
Locations
  • Physical Review B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation
  • Welch Foundation (F-1255)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
topological insulators, ultrathin films, surface states, massive Dirac fermions, spin Hall effect, optical spin injection, orbital magnetic moment, topological quantum phase transition, Chern number, interlayer tunneling

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review