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Unified Theory of PT and CP Invariant Topological Metals and Nodal Superconductors

Y. X. Zhao, Andreas P. Schnyder, Z. D. Wang

DOI 10.1103/PhysRevLett.116.156402 · Physical Review Letters

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Abstract

As PT and CP symmetries are fundamental in physics, we establish a unified topological theory of PT and CP invariant metals and nodal superconductors, based on the mathematically rigorous KO theory. Representative models are constructed for all nontrivial topological cases in dimensions d=1, 2, and 3, with their exotic physical meanings being elucidated in detail. Intriguingly, it is found that the topological charges of Fermi surfaces in the bulk determine an exotic direction-dependent distribution of topological subgap modes on the boundaries. Furthermore, by constructing an exact bulk-boundary correspondence, we show that the topological Fermi points of the PT and CP invariant classes can appear as gapless modes on the boundary of topological insulators with a certain type of anisotropic crystalline symmetry.

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FormulaReported Tc (K)Pressure (GPa)Type
TaAs

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NbAs

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Ca3P2

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PbTaSe2

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ZrSiS

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