63 citations · 84 across the 5 of their papers we have counts for
5 papers
Quantum geometric scattering of a Dirac particle by a Berry curvature domain wall
Lassaad Mandhour, Frédéric Piéchon
We investigate the scattering of a three-dimensional massless Dirac particle through a domain wall separating two regions with identical energy spectra but distinct Berry curvature…
Theory of local orbital magnetization: local Berry curvature
Sariah Al Saati, Karyn Le Hur, Frédéric Piéchon
We develop a thermodynamic theory of local orbital magnetization based on a perturbative expansion of the magnetic-field-dependent local density of states. Applicable to periodic c…
Scattering of a Dirac particle by a Berry phase domain wall
Lassaad Mandhour, Farah Bouhadida, Frédéric Piéchon
Massless Dirac particles are characterized by an effective pseudospin-momentum locking, which is the origin of the peculiar scattering properties of Dirac particles through potenti…
Analytical results for Scaling Properties of the Spectrum of the Fibonacci Chain
F. Piéchon M. Benakli, A. Jagannathan
We solve the approximate renormalisation group found by Qiu Niu and Franco Nori(Phys. Rev. Lett. 57 2057(1986)) for a tight-binding hamiltonian on the Fibonacci chain. This enables…
Energy level statistics of electrons in a 2D quasicrystal
Frederic Piechon, Anuradha Jagannathan
A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different…