204 citations · 1.6k across the 66 of their papers we have counts for
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Jack on a Devil's staircase
Andrea Di Gioacchino, Marco Gherardi, Luca Guido Molinari +1
We review a simple mechanism for the formation of plateaux in the fractional quantum Hall effect. It arises from a map of the microscopic Hamiltonian in the thin torus limit to a l…
Unified Fock space representation of fractional quantum Hall states
Andrea Di Gioacchino, Luca Guido Molinari, Vittorio Erba +1
Many bosonic (fermionic) fractional quantum Hall states, such as Laughlin, Moore-Read and Read-Rezayi wavefunctions, belong to a special class of orthogonal polynomials: the Jack p…
Devil's staircase phase diagram of the fractional quantum Hall effect in the thin-torus limit
Pietro Rotondo, Luca Guido Molinari, Piergiorgio Ratti +1
After more than three decades the fractional quantum Hall effect still poses challenges to contemporary physics. Recent experiments point toward a fractal scenario for the Hall res…
Enumeration of many-body skeleton diagrams
Luca Guido Molinari, Nicola Manini
The many-body dynamics of interacting electrons in condensed matter and quantum chemistry is often studied at the quasiparticle level, where the perturbative diagrammatic series is…
Hedin's equations and enumeration of Feynman's diagrams
Luca G. Molinari
Hedin's equations are solved perturbatively in zero dimension to count Feynman graphs for self-energy, polarization, propagator, effective potential and vertex function in a many-b…