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Trapped state at a dislocation in a weak magnetomechanical topological insulator
Inbar Hotzen Grinberg, Mao Lin, Wladimir A. Benalcazar +2
Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by ro…
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…
Boundary-obstructed topological phases
Eslam Khalaf, Wladimir A. Benalcazar, Taylor L. Hughes +1
Symmetry protected topological (SPT) phases are gapped phases of matter that cannot be deformed to a trivial phase without breaking the symmetry or closing the bulk gap. Here, we i…
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…
Robust temporal pumping in a magneto-mechanical topological insulator
Inbar Hotzen Grinberg, Mao Lin, Cameron Harris +4
The transport of energy through 1-dimensional (1D) waveguiding channels can be affected by sub-wavelength disorder, resulting in undesirable localization and backscattering phenome…
Fractional disclination charge in two-dimensional symmetric topological crystalline insulators
Tianhe Li, Penghao Zhu, Wladimir A. Benalcazar +1
Robust fractional charge localized at disclination defects has been recently found as a topological response in symmetric 2D topological crystalline insulators (TCIs). In t…
Robust zero-energy modes in an electronic higher-order topological insulator: the dimerized Kagome lattice
S. N. Kempkes, M. R. Slot, J. J. van den Broeke +6
Quantum simulators are an essential tool for understanding complex quantum materials. Platforms based on ultracold atoms in optical lattices and photonic devices led the field so f…
Strong nonreciprocity in modulated resonator chains through synthetic electric and magnetic fields
Christopher W. Peterson, Wladimir A. Benalcazar, Mao Lin +2
We study nonreciprocity in spatiotemporally modulated 1D resonator chains from the perspective of equivalent 2D resonator arrays with a synthetic dimension and transverse synthetic…