4 papers
When and why non-Hermitian eigenvalues miss eigenstates in topological physics
Lucien Jezequel, Loïc Herviou, Jens Bardarson
Non-Hermitian systems exhibit a fundamental spectral dichotomy absent in Hermitian physics: the eigenvalue spectrum and the eigenstate spectrum can deviate significantly in the the…
One-Particle Density Matrix Framework for Mode-Shell Correspondence: Characterizing Topology in Amorphous Higher-Order Topological Insulators
Miguel F. Martínez, Lucien Jezequel, Jens H. Bardarson +2
We present a framework for characterizing higher-order topological phases directly from the one-particle density matrix, without any reference to an underlying Hamiltonian. Our app…
Explicit equivalence between the spectral localizer and local Chern and winding markers
Lucien Jezequel, Jens H. Bardarson, Adolfo G. Grushin
Topological band insulators are classified using momentum-space topological invariants, such as Chern or winding numbers, when they feature translational symmetry. The lack of tran…
Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
Lucien Jezequel, Pierre Delplace
The mode-shell correspondence relates the number of gapless modes in phase space to a topological \textit{shell invariant} $\Ish$ defined on a close surface -- the shell -- s…