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Chiral-Symmetric Higher-Order Topological Phases of Matter
Wladimir A. Benalcazar, Alexander Cerjan
We introduce novel higher-order topological phases of matter in chiral-symmetric systems (class AIII of the tenfold classification), most of which would be misidentified as trivial…
Bound states in the continuum of higher-order topological insulators
Wladimir A. Benalcazar, Alexander Cerjan
We show that lattices with higher-order topology can support corner-localized bound states in the continuum (BICs). We propose a method for the direct identification of BICs in con…
Fractional corner charges in spin-orbit coupled crystals
Frank Schindler, Marta Brzezińska, Wladimir A. Benalcazar +5
We study two-dimensional spinful insulating phases of matter that are protected by time-reversal and crystalline symmetries. To characterize these phases we employ the concept of c…
Quantization of fractional corner charge in -symmetric higher-order topological crystalline insulators
Wladimir A. Benalcazar, Tianhe Li, Taylor L. Hughes
In the presence of crystalline symmetries, certain topological insulators present a filling anomaly: a mismatch between the number of electrons in an energy band and the number of…