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Compact localized states and flat bands from local symmetry partitioning

- M. Rontgen, C. Morfonios, P. Schmelcher
- Physics
- 22 September 2017

We propose a framework for the connection between local symmetries of discrete Hamiltonians and the design of compact localized states. Such compact localized states are used for the creation of… Expand

Invariants of broken discrete symmetries.

- P. Kalozoumis, C. Morfonios, F. Diakonos, P. Schmelcher
- MathematicsPhysical review letters
- 27 March 2014

The parity and Bloch theorems are generalized to the case of broken global symmetry. Local inversion or translation symmetries in one dimension are shown to yield invariant currents that characterize… Expand

Emitter and absorber assembly for multiple self-dual operation and directional transparency

- P. Kalozoumis, C. Morfonios, G. Kodaxis, F. Diakonos, P. Schmelcher
- Physics
- 14 September 2016

A recursive scheme for the design of scatterers acting simultaneously as emitters and absorbers, such as lasers and coherent perfect absorbers in optics, at multiple prescribed frequencies is… Expand

Local symmetries and perfect transmission in aperiodic photonic multilayers

- P. Kalozoumis, C. Morfonios, N. Palaiodimopoulos, F. Diakonos, P. Schmelcher
- Physics
- 17 July 2013

We develop a classification of perfectly transmitting resonances occuring in effectively onedimensional optical media which are decomposable into locally reflection symmetric parts. The local… Expand

Edge modes of scattering chains with aperiodic order.

- Ren Wang, M. Röntgen, C. Morfonios, F. A. Pinheiro, P. Schmelcher, L. Dal Negro
- PhysicsOptics letters
- 10 January 2018

TLDR

Local symmetry theory of resonator structures for the real-space control of edge states in binary aperiodic chains

- M. Rontgen, C. Morfonios, Ren Wang, L. D. Negro, P. Schmelcher
- PhysicsPhysical Review B
- 18 July 2018

We propose a real-space approach explaining and controlling the occurrence of edge-localized gap states between the spectral quasibands of binary tight binding chains with deterministic aperiodic… Expand

PT -symmetry breaking in waveguides with competing loss-gain pairs

- P. Kalozoumis, C. Morfonios, F. Diakonos, P. Schmelcher
- Physics
- 9 January 2016

We consider a periodic waveguide array whose unit cell consists of a $\mathcal{PT}$-symmetric quadrimer with two competing loss/gain parameter pairs which lead to qualitatively different… Expand

Nonlocal discrete continuity and invariant currents in locally symmetric effective Schr\"odinger arrays

- C. Morfonios, P. Kalozoumis, F. Diakonos, P. Schmelcher
- Mathematics, Physics
- 22 July 2016

Local symmetry dynamics in one-dimensional aperiodic lattices: a numerical study

- C. Morfonios, P. Schmelcher, P. Kalozoumis, F. Diakonos
- Physics, Mathematics
- 7 July 2013

A unifying description of lattice potentials generated by aperiodic one-dimensional sequences is proposed in terms of their local reflection or parity symmetry properties. We demonstrate that the… Expand

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