Fu–Kane–Mele monopoles in semimetals

In semimetals with time-reversal symmetry, the interplay between Weyl points and Fu–Kane–Mele indices results in coexisting surface Dirac cones and Fermi arcs that are transmutable without a topological phase transition. We show that Weyl points act as a new type of monopole, and that their connecti...

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Main Authors: Guo Chuan Thiang, Koji Sato, Kiyonori Gomi
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317302493
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author Guo Chuan Thiang
Koji Sato
Kiyonori Gomi
author_facet Guo Chuan Thiang
Koji Sato
Kiyonori Gomi
author_sort Guo Chuan Thiang
collection DOAJ
description In semimetals with time-reversal symmetry, the interplay between Weyl points and Fu–Kane–Mele indices results in coexisting surface Dirac cones and Fermi arcs that are transmutable without a topological phase transition. We show that Weyl points act as a new type of monopole, and that their connectivity is essential for capturing the full topology of semimetals and their role as intermediaries of topological insulator transitions. The history of Weyl point creation–annihilation provides a simple and mathematically equivalent way to classify semimetals, and directly prefigures the surface state topology. We further predict the possibility of a topological Dirac cone on the interface between two Weyl semimetals.
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spelling doaj.art-4ededc58a58c4482be1a651eab0e37fc2022-12-22T03:44:53ZengElsevierNuclear Physics B0550-32131873-15622017-10-01923C10712510.1016/j.nuclphysb.2017.07.018Fu–Kane–Mele monopoles in semimetalsGuo Chuan Thiang0Koji Sato1Kiyonori Gomi2School of Mathematical Sciences, University of Adelaide, SA 5000, AustraliaInstitute for Materials Research, Tohoku University, Sendai 980-8577, JapanDepartment of Mathematical Sciences, Shinshu University, Matsumoto, Nagano 390-8621, JapanIn semimetals with time-reversal symmetry, the interplay between Weyl points and Fu–Kane–Mele indices results in coexisting surface Dirac cones and Fermi arcs that are transmutable without a topological phase transition. We show that Weyl points act as a new type of monopole, and that their connectivity is essential for capturing the full topology of semimetals and their role as intermediaries of topological insulator transitions. The history of Weyl point creation–annihilation provides a simple and mathematically equivalent way to classify semimetals, and directly prefigures the surface state topology. We further predict the possibility of a topological Dirac cone on the interface between two Weyl semimetals.http://www.sciencedirect.com/science/article/pii/S0550321317302493
spellingShingle Guo Chuan Thiang
Koji Sato
Kiyonori Gomi
Fu–Kane–Mele monopoles in semimetals
Nuclear Physics B
title Fu–Kane–Mele monopoles in semimetals
title_full Fu–Kane–Mele monopoles in semimetals
title_fullStr Fu–Kane–Mele monopoles in semimetals
title_full_unstemmed Fu–Kane–Mele monopoles in semimetals
title_short Fu–Kane–Mele monopoles in semimetals
title_sort fu kane mele monopoles in semimetals
url http://www.sciencedirect.com/science/article/pii/S0550321317302493
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