Matches in SemOpenAlex for { <https://semopenalex.org/work/W4319731706> ?p ?o ?g. }
- W4319731706 abstract "The bulk-edge correspondence (BEC) is the hallmark of topological systems. In continuous (nonlattice) Hermitian systems with an unbounded wave vector, it was recently shown that the BEC of Chern insulators is modified. How would it be further affected in non-Hermitian systems, experiencing loss and/or gain? In this work, we take the first step in this direction, by studying a bulk-Hermitian continuous system with non-Hermitian boundary conditions. We find in this case that edge modes emerge at the roots of the scattering matrix, as opposed to the Hermitian case, where they emerge at its poles (or, more accurately, coalescence of roots and poles). This entails a nontrivial modification to the relative Levinson's theorem. We then show that the topological structure remains the same as in the Hermitian case, and the generalized BEC holds, provided one employs appropriately modified contours in the wave-vector plane so that the scattering matrix phase winding counts the edge modes correctly. We exemplify all this using a paradigmatic model of waves in a shallow ocean or active systems in the presence of odd viscosity, as well as 2D electron gas with Hall viscosity. We use this opportunity to examine the case of large odd viscosity, where the scattering matrix becomes $2ifmmodetimeselsetexttimesfi{}2$, which has not been discussed in previous works on the Hermitian generalized BEC." @default.
- W4319731706 created "2023-02-11" @default.
- W4319731706 creator A5064570911 @default.
- W4319731706 creator A5069356536 @default.
- W4319731706 date "2023-02-09" @default.
- W4319731706 modified "2023-09-26" @default.
- W4319731706 title "Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions" @default.
- W4319731706 cites W1848192875 @default.
- W4319731706 cites W1911454827 @default.
- W4319731706 cites W1993382772 @default.
- W4319731706 cites W1999307350 @default.
- W4319731706 cites W1999436089 @default.
- W4319731706 cites W2006869939 @default.
- W4319731706 cites W2020332193 @default.
- W4319731706 cites W2035165826 @default.
- W4319731706 cites W2037807652 @default.
- W4319731706 cites W2053033894 @default.
- W4319731706 cites W2061890013 @default.
- W4319731706 cites W2066315559 @default.
- W4319731706 cites W2088480740 @default.
- W4319731706 cites W2101893110 @default.
- W4319731706 cites W2102074887 @default.
- W4319731706 cites W2261254959 @default.
- W4319731706 cites W2293673104 @default.
- W4319731706 cites W2297830556 @default.
- W4319731706 cites W2471116225 @default.
- W4319731706 cites W2538420542 @default.
- W4319731706 cites W2608532356 @default.
- W4319731706 cites W2656144764 @default.
- W4319731706 cites W2735304102 @default.
- W4319731706 cites W2769934158 @default.
- W4319731706 cites W2786312866 @default.
- W4319731706 cites W2787598276 @default.
- W4319731706 cites W2788022603 @default.
- W4319731706 cites W2790056669 @default.
- W4319731706 cites W2795835319 @default.
- W4319731706 cites W2804805963 @default.
- W4319731706 cites W2805929017 @default.
- W4319731706 cites W2884191896 @default.
- W4319731706 cites W2885470078 @default.
- W4319731706 cites W2890702314 @default.
- W4319731706 cites W2892033050 @default.
- W4319731706 cites W2902617689 @default.
- W4319731706 cites W2903634006 @default.
- W4319731706 cites W2909680972 @default.
- W4319731706 cites W2919368806 @default.
- W4319731706 cites W2922045092 @default.
- W4319731706 cites W2962942350 @default.
- W4319731706 cites W2967690853 @default.
- W4319731706 cites W2969855071 @default.
- W4319731706 cites W2994665279 @default.
- W4319731706 cites W3015681226 @default.
- W4319731706 cites W3022733320 @default.
- W4319731706 cites W3037234208 @default.
- W4319731706 cites W3084280552 @default.
- W4319731706 cites W3084440103 @default.
- W4319731706 cites W3090552914 @default.
- W4319731706 cites W3101747402 @default.
- W4319731706 cites W3102309575 @default.
- W4319731706 cites W3103804604 @default.
- W4319731706 cites W3103871162 @default.
- W4319731706 cites W3103951843 @default.
- W4319731706 cites W3104668646 @default.
- W4319731706 cites W3139160215 @default.
- W4319731706 cites W3158529477 @default.
- W4319731706 cites W3167823316 @default.
- W4319731706 cites W3187594612 @default.
- W4319731706 cites W3205139946 @default.
- W4319731706 cites W4211161891 @default.
- W4319731706 cites W4226335616 @default.
- W4319731706 cites W4230585119 @default.
- W4319731706 cites W4236974991 @default.
- W4319731706 doi "https://doi.org/10.1103/physrevb.107.085117" @default.
- W4319731706 hasPublicationYear "2023" @default.
- W4319731706 type Work @default.
- W4319731706 citedByCount "0" @default.
- W4319731706 crossrefType "journal-article" @default.
- W4319731706 hasAuthorship W4319731706A5064570911 @default.
- W4319731706 hasAuthorship W4319731706A5069356536 @default.
- W4319731706 hasBestOaLocation W43197317062 @default.
- W4319731706 hasConcept C106487976 @default.
- W4319731706 hasConcept C121332964 @default.
- W4319731706 hasConcept C134306372 @default.
- W4319731706 hasConcept C159985019 @default.
- W4319731706 hasConcept C182310444 @default.
- W4319731706 hasConcept C191486275 @default.
- W4319731706 hasConcept C192562407 @default.
- W4319731706 hasConcept C33923547 @default.
- W4319731706 hasConcept C62354387 @default.
- W4319731706 hasConcept C62520636 @default.
- W4319731706 hasConcept C94940 @default.
- W4319731706 hasConceptScore W4319731706C106487976 @default.
- W4319731706 hasConceptScore W4319731706C121332964 @default.
- W4319731706 hasConceptScore W4319731706C134306372 @default.
- W4319731706 hasConceptScore W4319731706C159985019 @default.
- W4319731706 hasConceptScore W4319731706C182310444 @default.
- W4319731706 hasConceptScore W4319731706C191486275 @default.
- W4319731706 hasConceptScore W4319731706C192562407 @default.
- W4319731706 hasConceptScore W4319731706C33923547 @default.
- W4319731706 hasConceptScore W4319731706C62354387 @default.