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Topological Phases of Quantum Matter

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The Role of Topology in Materials

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 189))

Abstract

Role of topology in generating exotic topological phases of quantum matter is discussed. Illustrative examples of 2D quantum spin-Hall insulators, 3D topological insulators, topological crystalline insulators, and topological Weyl and Dirac semi-metals are presented. We also comment on topological superconductors and on the effects of strong electron correlations in driving topological phases.

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Acknowledgements

W.F.T. is supported by the National Thousand-Young-Talents Program, China. The work at Northeastern University was supported by the US Department of Energy (DOE), Office of Science, Basic Energy Sciences grant number DE-FG02-07ER46352 (core research), and benefited from Northeastern University’s Advanced Scientific Computation Center (ASCC), the NERSC supercomputing center through DOE grant number DE-AC02-05CH11231, and support (applications to layered materials) from the DOE EFRC: Center for the Computational Design of Functional Layered Materials (CCDM) under DE-SC0012575.

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  1. School of Physics, Sun Yat-Sen University, Guangzhou, 510275, China

    Wei-Feng Tsai

  2. Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan

    Hsin Lin

  3. Department of Physics, Northeastern University, Boston, MA, 02115, USA

    Arun Bansil

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  1. Department of Physics and Astronomy, Western Kentucky University, Bowling Green, Kentucky, USA

    Sanju Gupta

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Avadh Saxena

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Tsai, WF., Lin, H., Bansil, A. (2018). Topological Phases of Quantum Matter. In: Gupta, S., Saxena, A. (eds) The Role of Topology in Materials. Springer Series in Solid-State Sciences, vol 189. Springer, Cham. https://doi.org/10.1007/978-3-319-76596-9_6

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