Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313463048> ?p ?o ?g. }
- W4313463048 abstract "Non-Hermitian Chern insulators differ from their Hermitian cousins in one key aspect: their edge spectra are incredibly rich and confounding. For example, even in the simple case where the bulk spectrum consists of two bands with Chern number $pm 1$, the edge spectrum in the slab geometry may have one or two edge states on both edges, or only at one of the edges, depending on the model parameters. This blatant violation of the familiar bulk-edge correspondence casts doubt on whether the bulk Chern number can still be a useful topological invariant, and demands a working theory that can predict and explain the myriad of edge spectra from the bulk Hamiltonian to restore the bulk-edge correspondence. We outline how such a theory can be set up to yield a thorough understanding of the edge phase diagram based on the notion of the generalized Brillouin zone (GBZ) and the asymptotic properties of block Toeplitz matrices. The procedure is illustrated by solving and comparing three non-Hermitian generalizations of the Qi-Wu-Zhang model, a canonical example of two-band Chern insulators. We find that, surprisingly, in many cases the phase boundaries and the number and location of the edge states can be obtained analytically. Our analysis also reveals a non-Hermitian semimetal phase whose energy-momentum spectrum forms a continuous membrane with the edge modes transversing the hole, or genus, of the membrane. Subtleties in defining the Chern number over GBZ, which in general is not a smooth manifold and may have singularities, are demonstrated using examples. The approach presented here can be generalized to more complicated models of non-Hermitian insulators or semimetals in two or three dimensions." @default.
- W4313463048 created "2023-01-06" @default.
- W4313463048 creator A5081717832 @default.
- W4313463048 creator A5090784609 @default.
- W4313463048 date "2023-01-03" @default.
- W4313463048 modified "2023-10-18" @default.
- W4313463048 title "Unravelling the edge spectra of non-Hermitian Chern insulators" @default.
- W4313463048 cites W1553893319 @default.
- W4313463048 cites W1577300772 @default.
- W4313463048 cites W1870420882 @default.
- W4313463048 cites W1973828774 @default.
- W4313463048 cites W2040935135 @default.
- W4313463048 cites W2050208293 @default.
- W4313463048 cites W2060115196 @default.
- W4313463048 cites W2072703702 @default.
- W4313463048 cites W2097780038 @default.
- W4313463048 cites W2110821423 @default.
- W4313463048 cites W2117919754 @default.
- W4313463048 cites W2297830556 @default.
- W4313463048 cites W2519924940 @default.
- W4313463048 cites W2538420542 @default.
- W4313463048 cites W2656144764 @default.
- W4313463048 cites W2752472685 @default.
- W4313463048 cites W2754319903 @default.
- W4313463048 cites W2786312866 @default.
- W4313463048 cites W2787598276 @default.
- W4313463048 cites W2788022603 @default.
- W4313463048 cites W2790056669 @default.
- W4313463048 cites W2795025044 @default.
- W4313463048 cites W2798618989 @default.
- W4313463048 cites W2804805963 @default.
- W4313463048 cites W2807779697 @default.
- W4313463048 cites W2898648835 @default.
- W4313463048 cites W2902617689 @default.
- W4313463048 cites W2905588081 @default.
- W4313463048 cites W2905960923 @default.
- W4313463048 cites W2908224353 @default.
- W4313463048 cites W2913834835 @default.
- W4313463048 cites W2916939830 @default.
- W4313463048 cites W2944410353 @default.
- W4313463048 cites W2944517536 @default.
- W4313463048 cites W2945565493 @default.
- W4313463048 cites W2953392960 @default.
- W4313463048 cites W2953486595 @default.
- W4313463048 cites W2966925370 @default.
- W4313463048 cites W2967690853 @default.
- W4313463048 cites W2971368085 @default.
- W4313463048 cites W2979035204 @default.
- W4313463048 cites W2989816427 @default.
- W4313463048 cites W2994665279 @default.
- W4313463048 cites W3001239259 @default.
- W4313463048 cites W3005244912 @default.
- W4313463048 cites W3006072742 @default.
- W4313463048 cites W3006370281 @default.
- W4313463048 cites W3008594638 @default.
- W4313463048 cites W3008895341 @default.
- W4313463048 cites W3010342680 @default.
- W4313463048 cites W3014770527 @default.
- W4313463048 cites W3037234208 @default.
- W4313463048 cites W3043224635 @default.
- W4313463048 cites W3094709239 @default.
- W4313463048 cites W3098330817 @default.
- W4313463048 cites W3098375576 @default.
- W4313463048 cites W3099742107 @default.
- W4313463048 cites W3100859762 @default.
- W4313463048 cites W3101452834 @default.
- W4313463048 cites W3103145643 @default.
- W4313463048 cites W3104769350 @default.
- W4313463048 cites W3104876546 @default.
- W4313463048 cites W3105297232 @default.
- W4313463048 cites W3105444973 @default.
- W4313463048 cites W3106033241 @default.
- W4313463048 cites W3109807372 @default.
- W4313463048 cites W3111364101 @default.
- W4313463048 cites W3113161957 @default.
- W4313463048 cites W3137953428 @default.
- W4313463048 cites W3147245560 @default.
- W4313463048 cites W3154252507 @default.
- W4313463048 cites W3156415988 @default.
- W4313463048 cites W3158529477 @default.
- W4313463048 cites W3178356120 @default.
- W4313463048 cites W3203513610 @default.
- W4313463048 cites W3206268167 @default.
- W4313463048 cites W3210307087 @default.
- W4313463048 cites W3211547565 @default.
- W4313463048 cites W3212540641 @default.
- W4313463048 cites W3215583185 @default.
- W4313463048 cites W3215854756 @default.
- W4313463048 cites W3216199666 @default.
- W4313463048 cites W4210606171 @default.
- W4313463048 cites W4226216774 @default.
- W4313463048 cites W4229074912 @default.
- W4313463048 cites W4285083708 @default.
- W4313463048 doi "https://doi.org/10.1103/physrevb.107.035101" @default.
- W4313463048 hasPublicationYear "2023" @default.
- W4313463048 type Work @default.
- W4313463048 citedByCount "3" @default.
- W4313463048 countsByYear W43134630482023 @default.
- W4313463048 crossrefType "journal-article" @default.
- W4313463048 hasAuthorship W4313463048A5081717832 @default.