Orbital Magnetization as a Local Property

The modern expressions for polarization P and orbital magnetization M are k-space integrals. But a genuine bulk property should also be expressible in r space, as an unambiguous function of the ground-state density matrix, "nearsighted'' in insulators, independently of the boundary conditions-either periodic or open. While P-owing to its "quantum'' indeterminacy-is not a bulk property in this sense, M is. We provide its r-space expression for any insulator, even with a nonzero Chern invariant. Simulations on a model Hamiltonian validate our theory. DOI: 10.1103/PhysRevLett.110.087202

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

Annalisa Buffa, Pablo Antolin Sanchez, Giuliano Guarino

This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the

C^1

requirement of Kirchhoff-Love-based discretizations. Weak enforcement of coupling conditions is achiev ...

Springer2024

Orbital Magnetization as a Local Property

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Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

Hitting with Probability One for Stochastic Heat Equations with Additive Noise