564 citations · 1.4k across the 24 of their papers we have counts for
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A Computer Code for Topological Quantum Spin Systems over Triangulated Surfaces
Yingkai Liu, Emil Prodan
We derive explicit closed-form matrix representations of Hamiltonians drawn from tensored algebras, such as quantum spin Hamiltonians. These formulas enable us to soft-code generic…
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…
Bulk-Boundary Correspondence for Topological Insulators with Quantized Magneto-Electric Effect
Bryan Leung, Emil Prodan
We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fiel…
Virtual Topological Insulators with Real Quantized Physics
Emil Prodan
A concrete strategy is presented for generating strong topological insulators in dimensions which have quantized physics in dimensions. Here, counts the physical and…