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Fermionic Topological Order on Generic Triangulations
Emil Prodan
Consider a finite triangulation of a surface of genus and assume that spin-less fermions populate the edges of the triangulation. The quantum dynamics of such particles tak…
Computational Many-Body Physics via Algebra
Emil Prodan
The many-body Hamiltonians and other fermionic physical observables are expressed in terms of fermionic creation and annihilation operators, which form the algebra of canonical ant…
Braiding Flux-Tubes in Topological Quantum and Classical Lattice Models from Class-D
Yifei Liu, Yingkai Liu, Emil Prodan
We use magnetic flux-tubes to stabilize zero-energy modes in a lattice realization of a 2-dimensional superconductor from class D of classification table of topological condensed m…
Topological braiding of non-Abelian mid-gap defects in classical meta-materials
Yafis Barlas, Emil Prodan
Non-trivial braid-group representations appear as non-Abelian quantum statistics of emergent Majorana zero modes in one and two-dimensional topological superconductors. Here, we ge…