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Published

22 Apr 2021
We show that pairs of triple points in systems with negligible spin-orbit coupling (three-fold momentum-space band structure degeneracies along high-symmetry lines) facilitate higher-topology. Our main result is a universal bulk-hinge correspondence of such pairs to fractional quantized jumps of the hinge charge as a function of the hinge-momentum. For the special case of \(\mathcal{P}\mathcal{T}\)-symmetric crystalline solids we further find that triple points are characterized by monople charges. We illustrate the derived phenomena on material examples using first-principles calculations.

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Published

22 Apr 2021
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Published

01 Mar 2021
We classify three-fold momentum-space band structure degeneracies (triple points) occurring along high-symmetry lines of \(\mathcal{P}\mathcal{T}\)-symmetric crystalline solids with negligible spin-orbit coupling. By employing the recently discovered non-Abelian band topology, we argue that a rotation-symmetry-breaking strain transforms a certain class of triple points into multi-band nodal links. We propose material candidates and study the consequences of this phenomenon.

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Published

01 Mar 2021
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Published

14 Feb 2020
We consider a recently introduced real-space renormalization group (RG) algorithm which is based on maximizing real-space mutual information (RSMI). Based on general proofs and detailed studies of arbitrary coarse-grainings of the Ising chain, we argue that maximizing RSMI minimizes the range of interactions and, for disordered systems, correlations in the disorder distribution of the coarse-grained system.

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Published

14 Feb 2020