Topological insulators (TIs) are a class of materials which are insulating in their bulk form
yet, upon introduction of an a boundary or edge, eg by abruptly terminating the material, may …

We investigate the relation between the localization of generalized Wannier bases and the
topological properties of two-dimensional gapped quantum systems of independent …

A novel orthogonalization-free method together with two specific algorithms is proposed to
address extreme eigenvalue problems. On top of gradient-based algorithms, the proposed …

Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the
underlying topological properties, which undermines the usefulness of this proposed …

Using recently developed tools from space-adiabatic perturbation theory, in particular the
construction of a non-equilibrium almost-stationary state, we give a new proof that the Kubo …

Exponentially-localized Wannier functions are a basis of the Fermi projection of a
Hamiltonian consisting of functions which decay exponentially fast in space. In two and three …

For gapped periodic systems (insulators), it has been established that the insulator is
topologically trivial (ie, its Chern number is equal to 0) if and only if its Fermi projector admits …

Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the
underlying topological properties, which undermines the usefulness of this proposed …

Following the operator algebraic approach to Gabor analysis, we construct frames of
translates for the Hilbert space localisation of the Morita equivalence bimodule arising from …

We generalize Prodan's construction of radially localized generalized Wannier bases [E.
Prodan, J. Math. Phys. 56 (11), 113511 (2015)] to gapped quantum systems without time …