67 citations · 259 across the 13 of their papers we have counts for
4 papers · 1 filter
A minimal tensor network beyond free fermions
Carolin Wille, Maksimilian Usoltcev, Jens Eisert +1
This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems beyond the case of free fermions. A Jordan-Wigner transfor…
Topological dualities via tensor networks
C. Wille, J. Eisert, A. Altland
The ground state of the toric code, that of the two-dimensional class D superconductor, and the partition sum of the two-dimensional Ising model are dual to each other. This dualit…
Towards topological fixed-point models beyond gappable boundaries
Andreas Bauer, Jens Eisert, Carolin Wille
We consider fixed-point models for topological phases of matter formulated as discrete path integrals in the language of tensor networks. Such zero-correlation length models with a…
Towards a mathematical formalism for classifying phases of matter
Andreas Bauer, Jens Eisert, Carolin Wille
We propose a unified mathematical framework for classifying phases of matter. The framework is based on different types of combinatorial structures with a notion of locality called…