1.4k citations · 5.9k across the 31 of their papers we have counts for
32 papers
Higher-order Topological Knots and the classification of non-Hermitian lattices under symmetry
Yifan Wang, Wladimir A. Benalcazar
In two dimensions, Hermitian lattices with non-zero Chern numbers and non-Hermitian lattices with a higher-order skin effect (HOSE) bypass the constraints of the Nielsen-Ninomiya n…
Solitons with Self-induced Topological Nonreciprocity
Pedro Fittipaldi de Castro, Wladimir Alejandro Benalcazar
The nonlinear Schrodinger equation supports solitons -- self-interacting, localized states that behave as nearly independent objects. We exhibit solitons with self-induced nonrecip…
A mono-atomic orbital-based 1D topological crystalline insulator
Gengming Liu, Violet Workman, Jiho Noh +4
Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary corres…
Nonlinear breathers with crystalline symmetries
Frank Schindler, Vir B. Bulchandani, Wladimir A. Benalcazar
Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models a…
Prevalence of two-dimensional photonic topology
Ali Ghorashi, Sachin Vaidya, Mikael Rechtsman +3
The topological characteristics of photonic crystals have been the subject of intense research in recent years. Despite this, the basic question of whether photonic band topology i…
Realization of a Z classified chiral-symmetric higher-order topological insulator in a coupling-inversion acoustic crystal
Dongyi Wang, Yuanchen Deng, Mourad Oudich +3
Higher-order topological band theory has transformed the landscape of topological phases in quantum and classical systems. Here, we experimentally demonstrate a two-dimensional (2D…
Response to polarization and weak topology in Chern insulators
Sachin Vaidya, Mikael C. Rechtsman, Wladimir A. Benalcazar
Chern insulators present a topological obstruction to a smooth gauge in their Bloch wave functions that prevents the construction of exponentially-localized Wannier functions - thi…
Topological Phases of Photonic Crystals under Crystalline Symmetries
Sachin Vaidya, Ali Ghorashi, Thomas Christensen +2
Photonic crystals (PhCs) have emerged as a popular platform for realizing various topological phases due to their flexibility and potential for device applications. In this article…
Photonic quadrupole topological insulator using orbital-induced synthetic flux
Julian Schulz, Jiho Noh, Wladimir A. Benalcazar +2
The rich physical properties of multiatomic molecules and crystalline structures are determined, to a significant extent, by the underlying geometry and connectivity of atomic orbi…
Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
Yuanchen Deng, Wladimir A. Benalcazar, Ze-Guo Chen +3
Building upon the bulk-boundary correspondence in topological phases of matter, disclinations have recently been harnessed to trap fractionally quantized density of states (DoS) in…
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…
Topological phases of the dimerized Hofstadter butterfly
Zheng-Wei Zuo, Wladimir A. Benalcazar, Yunzhe Liu +1
In this work, we study the topological phases of the dimerized square lattice in the presence of an external magnetic field. The dimerization pattern in the lattice's hopping ampli…
Observation of bound states in the continuum embedded in symmetry bandgaps
Alexander Cerjan, Christina Jörg, Sachin Vaidya +5
In the last decade, symmetry-protected bound states in the continuum (BICs) have proven to be an important design principle for creating and enhancing devices reliant upon states w…
Bilayer Photonic Graphene
Mourad Oudich, Guangxu Su, Yuanchen Deng +6
Drawing inspiration from bilayer graphene, this paper introduces its photonic analog comprising two stacked graphene-like photonic crystals, that are coupled in the near-field thro…
Point-Defect-Localized Bound States in the Continuum in Photonic Crystals and Structured Fibers
Sachin Vaidya, Wladimir A. Benalcazar, Alexander Cerjan +1
We show that point defects in two-dimensional photonic crystals can support bound states in the continuum (BICs). The mechanism of confinement is a symmetry mismatch between the de…
Observation of a higher-order topological bound state in the continuum
Alexander Cerjan, Marius Jürgensen, Wladimir A. Benalcazar +2
Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here…
Higher-order topological pumping and its observation in photonic lattices
Wladimir A. Benalcazar, Jiho Noh, Mohan Wang +3
The discovery of the quantization of particle transport in adiabatic pumping cycles of periodic structures by Thouless [Phys. Rev. B 27, 6083 (1983)] linked the Chern number, a top…
Boundary-obstructed topological high-T superconductivity in iron pnictides
Xianxin Wu, Wladimir A. Benalcazar, Yinxiang Li +3
Non-trivial topology and unconventional pairing are two central guiding principles in the contemporary search for and analysis of superconducting materials and heterostructure comp…
A fractional corner anomaly reveals higher-order topology
Christopher W. Peterson, Tianhe Li, Wladimir A. Benalcazar +2
Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-ord…
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…