Experimental realization of a topological crystalline insulator in SnTe
Yukio Tanaka,Zhi Ren,Takafumi Sato,Kosuke Nakayama,Seigo Souma,Takashi Takahashi,Kouji Segawa,Yoichi Ando +7 more
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TLDR
A topological crystalline insulator has surface metallic states that are topologically protected by time-reversal symmetry as discussed by the authors, where the surface metallic state is instead protected by the mirror symmetry of the crystal.Abstract:
A topological insulator has surface metallic states that are topologically protected by time-reversal symmetry. Tin telluride is now shown to be a ‘topological crystalline insulator’, in which the surface metallic state is instead protected by the mirror symmetry of the crystal.read more
Citations
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Topological Insulator Materials
TL;DR: Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions.
Journal ArticleDOI
Colloquium : Topological band theory
Arun Bansil,Hsin Lin,Tanmoy Das +2 more
TL;DR: In this paper, the authors discuss the underpinnings of the topological band theory and its materials applications, and propose a framework for predicting new classes of topological materials.
Journal ArticleDOI
Topological Insulator Materials
TL;DR: Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions as mentioned in this paper.
Journal ArticleDOI
Topological superconductors: a review
Masatoshi Sato,Yoichi Ando +1 more
TL;DR: In this paper, the relation between topological superconductivity and Majorana fermions is explained, and the difference between dispersive Majorana Fermions and a localized Majorana zero mode is emphasized.
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Dirac materials
TL;DR: A wide range of materials, such as d-wave superconductors, graphene, and topological insulators, share a fundamental similarity: their low-energy fermionic excitations behave as massless Dirac particles rather than fermions obeying the usual Schrodinger Hamiltonian as mentioned in this paper.
References
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Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
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Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
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Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
TL;DR: In this article, the quantum spin Hall (QSH) effect can be realized in mercury-cadmium telluride semiconductor quantum wells, a state of matter with topological properties distinct from those of conventional insulators.
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Z-2 Topological Order and the Quantum Spin Hall Effect
Charles L. Kane,Eugene J. Mele +1 more
TL;DR: The Z2 order of the QSH phase is established in the two band model of graphene and a generalization of the formalism applicable to multiband and interacting systems is proposed.
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Topological field theory of time-reversal invariant insulators
TL;DR: In this paper, it was shown that the fundamental time-reversal invariant (TRI) insulator exists in $4+1$ dimensions, where the effective field theory is described by the $(4 + 1)$-dimensional Chern-Simons theory and the topological properties of the electronic structure are classified by the second Chern number.