Topological superconductors: a review
Masatoshi Sato,Yoichi Ando +1 more
TLDR
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.Abstract:
This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are explained, and the difference between dispersive Majorana fermions and a localized Majorana zero mode is emphasized. A variety of routes to topological superconductivity are explained with an emphasis on the roles of spin-orbit coupling. Present experimental situations and possible signatures of topological superconductivity are summarized with an emphasis on intrinsic topological superconductors.read more
Citations
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Quantum information processing with superconducting circuits: a review
TL;DR: The time is ripe for describing some of the recent development of superconducting devices, systems and applications as well as practical applications of QIP, such as computation and simulation in Physics and Chemistry.
Journal ArticleDOI
Higher-order topological insulators and superconductors protected by inversion symmetry
TL;DR: In this article, higher-order topological insulators and superconductors protected by inversion symmetry are investigated, characterized by gapped bulk and surface with gapless modes confined to hinges or corners of the sample.
Journal ArticleDOI
Non-Hermitian Physics
TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
Journal ArticleDOI
Symmetry and Topology in Non-Hermitian Physics
TL;DR: In this paper, a complete theory of symmetry and topology in non-Hermitian physics is developed, and a classification of topological phases in arbitrary dimensions and symmetry classes is presented.
MonographDOI
Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators
TL;DR: In this paper, a pedagogical introduction to the important role of Berry phases and curvatures in the physics of electrons in solids is provided, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state.
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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Quantal phase factors accompanying adiabatic changes
TL;DR: In this article, it was shown that the Aharonov-Bohm effect can be interpreted as a geometrical phase factor and a general formula for γ(C) was derived in terms of the spectrum and eigen states of the Hamiltonian over a surface spanning C.
Journal ArticleDOI
Quantum spin Hall effect in graphene
Charles L. Kane,Eugene J. Mele +1 more
TL;DR: Graphene is converted from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator and the spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed.
Journal ArticleDOI
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
TL;DR: In this article, first-principles electronic structure calculations of the layered, stoichiometric crystals Sb2Te3, Bi2Se3, SbSe3 and BiSe3 were performed.