Hall conductance of a non-Hermitian Weyl semimetal
In recent years, non-Hermitian (NH) topological semimetals have garnered significant attention due to their unconventional properties. In this work, we explore one of the transport properties, namely the Hall conductance of a three-dimensional dissipative Weyl semi-metal formed as a result of the st...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad2b0e |
| _version_ | 1797289450426859520 |
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| author | Soumi Dey Ayan Banerjee Debashree Chowdhury Awadhesh Narayan |
| author_facet | Soumi Dey Ayan Banerjee Debashree Chowdhury Awadhesh Narayan |
| author_sort | Soumi Dey |
| collection | DOAJ |
| description | In recent years, non-Hermitian (NH) topological semimetals have garnered significant attention due to their unconventional properties. In this work, we explore one of the transport properties, namely the Hall conductance of a three-dimensional dissipative Weyl semi-metal formed as a result of the stacking of two-dimensional Chern insulators. We find that unlike Hermitian systems where the Hall conductance is quantized, in presence of non-Hermiticity, the quantized Hall conductance starts to deviate from its usual nature. We show that the non-quantized nature of the Hall conductance in such NH topological systems is intimately connected to the presence of exceptional points. We find that in the case of open boundary conditions, the transition from a topologically trivial regime to a non-trivial topological regime takes place at a different value of the momentum than that of the periodic boundary spectra. This discrepancy is solved by considering the non-Bloch case and the generalized Brillouin zone (GBZ). Finally, we present the Hall conductance evaluated over the GBZ and connect it to the separation between the Weyl nodes, within the non-Bloch theory. |
| first_indexed | 2024-03-07T19:05:04Z |
| format | Article |
| id | doaj.art-3960eab8143147d68dee3873b1407458 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-07T19:05:04Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-3960eab8143147d68dee3873b14074582024-03-01T09:05:02ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126202305710.1088/1367-2630/ad2b0eHall conductance of a non-Hermitian Weyl semimetalSoumi Dey0Ayan Banerjee1Debashree Chowdhury2https://orcid.org/0000-0003-3385-6852Awadhesh Narayan3https://orcid.org/0000-0003-0127-7047Solid State and Structural Chemistry Unit, Indian Institute of Science , Bangalore 560012, IndiaSolid State and Structural Chemistry Unit, Indian Institute of Science , Bangalore 560012, IndiaCentre for Nanotechnology, Indian Institute of Technology Roorkee , Roorkee, Uttarakhand 247667, IndiaSolid State and Structural Chemistry Unit, Indian Institute of Science , Bangalore 560012, IndiaIn recent years, non-Hermitian (NH) topological semimetals have garnered significant attention due to their unconventional properties. In this work, we explore one of the transport properties, namely the Hall conductance of a three-dimensional dissipative Weyl semi-metal formed as a result of the stacking of two-dimensional Chern insulators. We find that unlike Hermitian systems where the Hall conductance is quantized, in presence of non-Hermiticity, the quantized Hall conductance starts to deviate from its usual nature. We show that the non-quantized nature of the Hall conductance in such NH topological systems is intimately connected to the presence of exceptional points. We find that in the case of open boundary conditions, the transition from a topologically trivial regime to a non-trivial topological regime takes place at a different value of the momentum than that of the periodic boundary spectra. This discrepancy is solved by considering the non-Bloch case and the generalized Brillouin zone (GBZ). Finally, we present the Hall conductance evaluated over the GBZ and connect it to the separation between the Weyl nodes, within the non-Bloch theory.https://doi.org/10.1088/1367-2630/ad2b0enon-Hermitian topological phasesWeyl semimetalHall conductancenon-Bloch theory |
| spellingShingle | Soumi Dey Ayan Banerjee Debashree Chowdhury Awadhesh Narayan Hall conductance of a non-Hermitian Weyl semimetal New Journal of Physics non-Hermitian topological phases Weyl semimetal Hall conductance non-Bloch theory |
| title | Hall conductance of a non-Hermitian Weyl semimetal |
| title_full | Hall conductance of a non-Hermitian Weyl semimetal |
| title_fullStr | Hall conductance of a non-Hermitian Weyl semimetal |
| title_full_unstemmed | Hall conductance of a non-Hermitian Weyl semimetal |
| title_short | Hall conductance of a non-Hermitian Weyl semimetal |
| title_sort | hall conductance of a non hermitian weyl semimetal |
| topic | non-Hermitian topological phases Weyl semimetal Hall conductance non-Bloch theory |
| url | https://doi.org/10.1088/1367-2630/ad2b0e |
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