Three-Dimensional Topological Insulators

By M. Zahid Hasan, J. Moore. Annual Review of Condensed Matter Physics, 2010

548 citations recorded by the source corpus.

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known examples of topological order in bulk solids. We review the basic phenomena and experimental history, starting with the observation of topological insulator behavior in BixSb1−x by angle and spin-resolved photoemission spectroscopy (spin-ARPES) and continuing through measurements on other materials and by other probes. A self-contained introduction to the single-particle theory is then given, followed by the many-particle definition of a topological insulator as a material with quantized magnetoelectric polarizability. The last section reviews recent work on strongly correlated topological insulators and new effects that arise from the proximity effect between a topological insulator and a superconductor. Although this article is not intended to be a comprehensive review of what is already a rather large field, we hope that it serves as a useful introduction, summary of recent progress, and guideline to future directions.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/45d7ef6837d3bed5da82712f6355f2b5119bc19a

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

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Citations in the corpus

Three Lectures On Topological Phases Of Matter (2015, background): “For an entrée to the literature, see the review articles [1, 2, 3] and the book [4].”
Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems (2018, background): “Topological insulators are a class of materials displaying intriguing properties such as insulating bulk and conductive chiral and helical surfaces (Hasan and Moore, 2011; Qi and Zhang, 2011; Wehling et al., 2014).”
Opportunities at the Frontiers of Spintronics (2015, background): “More recently this has been extended to topological insulators [48,49], where strong Rashba-type spin-orbit coupling can give rise to metallic surface states for bulk insulators.”
Gapped boundary phases of topological insulators via weak coupling (2016, background): “The topological insulator [1]-[10] is a fascinating and experimentally accessible example of a symmetry-protected topological (SPT) [11]-[16] phase of matter.”
Magnetometry with nitrogen-vacancy defects in diamond (2013, background): “• Study of exotic states of matter such as topological insulators [143] or strongly correlated electron systems [144].”
Spin Hall Effects in Metals (2013, background): “While these surface state have interesting spin-polarized transport properties, such as the quantum spin Hall effect, their discussion goes beyond the scope of this article and more details can be found in recent reviews, such as [88], [89].”
Maximally-localized Wannier Functions: Theory and Applications (2011, background): “Hasan and Kane (2010) and Hasan and Moore (2011) provide excellent reviews of the background, current status of this field, and provide references into the literature.”