169 citations · 2.1k across the 47 of their papers we have counts for
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Fermionic Matrix Product States and One-Dimensional Topological Phases
Nick Bultinck, Dominic J. Williamson, Jutho Haegeman +1
We develop the formalism of fermionic matrix product states (fMPS) and show how irreducible fMPS fall in two different classes, related to the different types of simple $\mathbb{Z}…
Fermionic Matrix Product Operators and Topological Phases of Matter
Dominic J. Williamson, Nick Bultinck, Jutho Haegeman +1
We introduce the concept of fermionic matrix product operators, and show that they provide a natural representation of fermionic fusion tensor categories. This allows for the class…
Hamiltonian models for topological phases of matter in three spatial dimensions
Dominic J. Williamson, Zhenghan Wang
We present commuting projector Hamiltonian realizations of a large class of (3+1)D topological models based on mathematical objects called unitary G-crossed braided fusion categori…
Fractal symmetries: Ungauging the cubic code
Dominic J. Williamson
Gauging is a ubiquitous tool in many-body physics. It allows one to construct highly entangled topological phases of matter from relatively simple phases and to relate certain char…