23 citations · 57 across the 10 of their papers we have counts for
10 papers
Why finite-size non-Hermitian eigenvalues can miss asymptotic eigenstates in topological physics
Lucien Jezequel, Loïc Herviou, Jens H. Bardarson +1
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…
Practical realization of chiral nonlinearity for strong topological protection
Xinxin Guo, Lucien Jezequel, Mathieu Padlewski +3
Nonlinear topology has been much less inquired compared to its linear counterpart. Existing advances have focused on nonlinearities of limited magnitudes and fairly homogeneous typ…
The Exceptional Ring of buoyancy instability in stars
Armand Leclerc, Lucien Jezequel, Nicolas Perez +3
We reveal properties of global modes of linear buoyancy instability in stars, characterised by the celebrated Schwarzschild criterion, using non-Hermitian topology. We identify a r…
Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
Lucien Jezequel, Pierre Delplace
We propose a theory, that we call the \textit{mode-shell correspondence}, which relates the topological zero-modes localised in phase space to a \textit{shell} invariant defined on…
Non-Hermitian spectral flows and Berry-Chern monopoles
Lucien Jezequel, Pierre Delplace
We propose a non-Hermitian generalization of the correspondence between the spectral flow and the topological charges of band crossing points (Berry-Chern monopoles). A class of no…
Estimating bulk and edge topological indices in finite open chiral chains
Lucien Jezequel, Clément Tauber, Pierre Delplace
We develop a formalism to extend, simultaneously, the usual definition of bulk and edge indices from topological insulators to the case of a finite sample with open boundary condit…
Nonlinear edge modes from topological 1D lattices
Lucien Jezequel, Pierre Delplace
We propose a method to address the existence of topological edge modes in one-dimensional (1D) nonlinearlattices, by deforming the edge modes of linearized models into solutions of…