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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
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
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,
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
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
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
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
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
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
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