1.4k citations · 2k across the 16 of their papers we have counts for
31 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…