191 citations · 1.4k across the 72 of their papers we have counts for
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An investigation of -symmetry breaking in tight-binding chains
Jean-Marc Luck
We consider non-Hermitian -symmetric tight-binding chains where gain/loss optical potentials of equal magnitudes are arbitrarily distributed over all sites…
Scaling laws for weakly disordered 1D flat bands
J. M. Luck
We investigate Anderson localization on various 1D structures having flat bands. The main focus is on the scaling laws obeyed by the localization length at weak disorder in the vic…
Unusual electronic properties of clean and disordered zigzag graphene nanoribbons
J. M. Luck, Y. Avishai
We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero…
Magnetization of two coupled rings
Y. Avishai, J. M. Luck
We investigate the persistent currents and magnetization of a mesoscopic system consisting of two clean metallic rings sharing a single contact point in a magnetic field. Many nove…
Tight-binding electronic spectra on graphs with spherical topology. II. The effect of spin-orbit interaction
Y. Avishai, J. M. Luck
This is the second of two papers devoted to tight-binding electronic spectra on graphs with the topology of the sphere. We investigate the problem of an electron subject to a spin-…
Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge
Y. Avishai, J. M. Luck
This is the first of two papers devoted to tight-binding electronic spectra on graphs with the topology of the sphere. In this work the one-electron spectrum is investigated as a f…
Non-monotonic disorder-induced enhanced tunneling
J. M. Luck
The quantum-mechanical transmission through a disordered tunnel barrier is investigated analytically in the following regime: (correlation range of the random potential) << (penetr…