5 papers
Sequential topology: iterative topological phase transitions in finite chiral structures
Maxine M. McCarthy, D. M. Whittaker
We present theoretical and experimental results probing the rich topological structure of arbitrarily disordered finite tight binding Hamiltonians with chiral symmetry. We extend t…
Nut digraphs
Nino Bašić, Patrick W. Fowler, Maxine M. McCarthy +1
A nut graph is a simple graph whose kernel is spanned by a single full vector (i.e. the adjacency matrix has a single zero eigenvalue and all non-zero kernel eigenvectors have no z…
A Topological Classification of Finite Chiral Structures using Complete Matchings
Maxine M. McCarthy, D. M. Whittaker
We present the theory and experimental demonstration of a topological classification of finite tight binding Hamiltonians with chiral symmetry. Using the graph-theoretic notion of…
Observation of a Topological Phase Transition in Random Coaxial Cable Structures with Chiral Symmetry
D. M. Whittaker, Maxine M. McCarthy, Qingqing Duan
We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Ha…
The statistics of the ordering of chiral ribbons on a honeycomb lattice
Max M. McCarthy, William S. Fall, Xiangbing Zeng +2
A novel model, devised to describe spontaneous chirality synchronization in complex liquids and liquid crystals, is proposed and studied. Segments of ribbon-like molecular columns…