F. Pi'echon

Publications26
h-index11
Citations428
Highly Influential Citations12
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Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index
Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient…
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Geometric orbital susceptibility: Quantum metric without Berry curvature
The orbital magnetic susceptibility of an electron gas in a periodic potential depends not only on the zero field energy spectrum but also on the geometric structure of cell-periodic Bloch states…
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Fractal dimensions of wave functions and local spectral measures on the Fibonacci chain
We present a theoretical framework for understanding the wave functions and spectrum of an extensively studied paradigm for quasiperiodic systems, namely the Fibonacci chain. Our analytical results,…
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Landau levels, response functions and magnetic oscillations from a generalized Onsager relation
A generalized semiclassical quantization condition for cyclotron orbits was recently proposed by Gao and Niu, that goes beyond Onsager's famous relation. In addition to the integrated density of…
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Designing flat-band tight-binding models with tunable multifold band touching points
Being dispersionless, flat bands on periodic lattices are solely characterized by their macroscopically degenerate eigenstates: compact localized states (CLSs) in real space and Bloch states in…
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Berry curvature and quantum metric in N -band systems: An eigenprojector approach
The eigenvalues of a parameter-dependent Hamiltonian matrix form a band structure in parameter space. In such N -band systems, the quantum geometric tensor (QGT), consisting of the Berry curvature…
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Orbital embedding and topology of one-dimensional two-band insulators
The topological invariants of band insulators are usually assumed to depend only on the connectivity between orbitals and not on their intra-cell position (orbital embedding), which are a separate…
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Spin- and valley-dependent magneto-optical properties of MoS 2
We investigate the behavior of low-energy electrons in two-dimensional molybdenum disulfide when submitted to an external magnetic field. Highly degenerate Landau levels form in the material, between…
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Orbital magnetism in coupled-bands models
We develop a gauge-independent perturbation theory for the grand potential of itinerant electrons in two-dimensional tight-binding models in the presence of a perpendicular magnetic field. At first…
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Distant-neighbor hopping in graphene and Haldane models
Large Chern number phases in a Haldane model become possible if there is a multiplication of Dirac points in the underlying graphene model. This is realized by considering long-distance hopping…
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