Transition from Dirac points to exceptional points in anisotropic waveguides
We uncover the existence of Dirac and exceptional points in waveguides made of anisotropic materials, and study the transition between them. Dirac points in the dispersion diagram appear at propagation directions where the matrix describing the eigenvalue problem for bound states splits into two blo...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2019-10-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.033010 |
| _version_ | 1797211682383069184 |
|---|---|
| author | Jordi Gomis-Bresco David Artigas Lluis Torner |
| author_facet | Jordi Gomis-Bresco David Artigas Lluis Torner |
| author_sort | Jordi Gomis-Bresco |
| collection | DOAJ |
| description | We uncover the existence of Dirac and exceptional points in waveguides made of anisotropic materials, and study the transition between them. Dirac points in the dispersion diagram appear at propagation directions where the matrix describing the eigenvalue problem for bound states splits into two blocks, sorting the eigenmodes either by polarization or by inner mode symmetry. Introducing a non-Hermitian channel via a suitable leakage mechanism causes the Dirac points to transform into exceptional points connected by a Fermi arc. The exceptional points arise as improper hybrid leaky states and, importantly, are found to occur always out of the anisotropy symmetry planes. |
| first_indexed | 2024-04-24T10:30:22Z |
| format | Article |
| id | doaj.art-85cc8a193d9248d8a5a7e495984e8e2e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:30:22Z |
| publishDate | 2019-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-85cc8a193d9248d8a5a7e495984e8e2e2024-04-12T16:45:57ZengAmerican Physical SocietyPhysical Review Research2643-15642019-10-011303301010.1103/PhysRevResearch.1.033010Transition from Dirac points to exceptional points in anisotropic waveguidesJordi Gomis-BrescoDavid ArtigasLluis TornerWe uncover the existence of Dirac and exceptional points in waveguides made of anisotropic materials, and study the transition between them. Dirac points in the dispersion diagram appear at propagation directions where the matrix describing the eigenvalue problem for bound states splits into two blocks, sorting the eigenmodes either by polarization or by inner mode symmetry. Introducing a non-Hermitian channel via a suitable leakage mechanism causes the Dirac points to transform into exceptional points connected by a Fermi arc. The exceptional points arise as improper hybrid leaky states and, importantly, are found to occur always out of the anisotropy symmetry planes.http://doi.org/10.1103/PhysRevResearch.1.033010 |
| spellingShingle | Jordi Gomis-Bresco David Artigas Lluis Torner Transition from Dirac points to exceptional points in anisotropic waveguides Physical Review Research |
| title | Transition from Dirac points to exceptional points in anisotropic waveguides |
| title_full | Transition from Dirac points to exceptional points in anisotropic waveguides |
| title_fullStr | Transition from Dirac points to exceptional points in anisotropic waveguides |
| title_full_unstemmed | Transition from Dirac points to exceptional points in anisotropic waveguides |
| title_short | Transition from Dirac points to exceptional points in anisotropic waveguides |
| title_sort | transition from dirac points to exceptional points in anisotropic waveguides |
| url | http://doi.org/10.1103/PhysRevResearch.1.033010 |
| work_keys_str_mv | AT jordigomisbresco transitionfromdiracpointstoexceptionalpointsinanisotropicwaveguides AT davidartigas transitionfromdiracpointstoexceptionalpointsinanisotropicwaveguides AT lluistorner transitionfromdiracpointstoexceptionalpointsinanisotropicwaveguides |