3 papers
cond-mat.mes-hall2025
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…
math.CO2025
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…
cond-mat.stat-mech2021
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…