100 citations · 1.3k across the 70 of their papers we have counts for
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Properties of Laughlin states on fractal lattices
Mani Chandra Jha, Anne E. B. Nielsen
Laughlin states have recently been constructed on fractal lattices and have been shown to be topological in such systems. Some of their properties are, however, quite different fro…
Approximate Hofstadter- and Kapit-Mueller-like parent Hamiltonians for Laughlin states on fractals
Błażej Jaworowski, Michael Iversen, Anne E. B. Nielsen
Recently, it was shown that fractional quantum Hall states can be defined on fractal lattices. Proposed exact parent Hamiltonians for these states are nonlocal and contain three-si…
Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
Błażej Jaworowski, Anne E. B. Nielsen
We search for short-range Hamiltonians of finite spin-1 kagome systems, maximizing the overlaps with lattice Moore-Read states. Our starting point is an exact, long-range parent Ha…
Laughlin topology on fractal lattices without area law entanglement
Xikun Li, Mani Chandra Jha, Anne E. B. Nielsen
Laughlin states have recently been constructed on fractal lattices, and the charge and braiding statistics of the quasiholes were used to confirm that these states have Laughlin ty…
Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
Dean Johnstone, Matthew J. Colbrook, Anne E. B. Nielsen +2
Robust edge transport can occur when particles in crystalline lattices interact with an external magnetic field. This system is well described by Bloch's theorem, with the spectrum…
Squeezing anyons for braiding on small lattices
N. S. Srivatsa, Xikun Li, Anne E. B. Nielsen
Adiabatically exchanging anyons gives rise to topologically protected operations on the quantum state of the system, but the desired result is only achieved if the anyons are well…