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58 papers · 1 filter
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…
Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
Rabih El Sokhen, Álvaro Gómez-León, Albert F. Adiyatullin +3
Anomalous topological phases, where edge states coexist with topologically trivial Chern bands, can only appear in periodically driven lattices. When the driving is smooth and cont…
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…
Emergent tri-criticality in magnetic metamaterials
Björn Erik Skovdal, Gunnar K. Pálsson, P. C. W. Holdsworth +1
Metallic discs engineered on the 100 nm scale have an internal magnetic texture which varies from a fully magnetized state to a vortex state with zero moment. The interplay between…