Non-Hermitian Chiral Magnetic Effect in Equilibrium
We analyze the chiral magnetic effect for non-Hermitian fermionic systems using the bi-orthogonal formulation of quantum mechanics. In contrast to the Hermitian counterparts, we show that the chiral magnetic effect takes place in equilibrium when a non-Hermitian system is considered. The key observa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/5/761 |
| _version_ | 1797568774391463936 |
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| author | Maxim N. Chernodub Alberto Cortijo |
| author_facet | Maxim N. Chernodub Alberto Cortijo |
| author_sort | Maxim N. Chernodub |
| collection | DOAJ |
| description | We analyze the chiral magnetic effect for non-Hermitian fermionic systems using the bi-orthogonal formulation of quantum mechanics. In contrast to the Hermitian counterparts, we show that the chiral magnetic effect takes place in equilibrium when a non-Hermitian system is considered. The key observation is that for non-Hermitian charged systems, there is no strict charge conservation as understood in Hermitian systems, so the Bloch theorem preventing currents in the thermodynamic limit and in equilibrium does not apply. |
| first_indexed | 2024-03-10T20:00:42Z |
| format | Article |
| id | doaj.art-d2de0c3ec00640cdb85da8f02c936393 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:00:42Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d2de0c3ec00640cdb85da8f02c9363932023-11-19T23:35:42ZengMDPI AGSymmetry2073-89942020-05-0112576110.3390/sym12050761Non-Hermitian Chiral Magnetic Effect in EquilibriumMaxim N. Chernodub0Alberto Cortijo1Institut Denis Poisson UMR 7013, Université de Tours, 37200 Tours, FranceInstituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, SpainWe analyze the chiral magnetic effect for non-Hermitian fermionic systems using the bi-orthogonal formulation of quantum mechanics. In contrast to the Hermitian counterparts, we show that the chiral magnetic effect takes place in equilibrium when a non-Hermitian system is considered. The key observation is that for non-Hermitian charged systems, there is no strict charge conservation as understood in Hermitian systems, so the Bloch theorem preventing currents in the thermodynamic limit and in equilibrium does not apply.https://www.mdpi.com/2073-8994/12/5/761non-hermitian hamiltonianchiral magnetic effectequilibrium transportBloch theorem |
| spellingShingle | Maxim N. Chernodub Alberto Cortijo Non-Hermitian Chiral Magnetic Effect in Equilibrium Symmetry non-hermitian hamiltonian chiral magnetic effect equilibrium transport Bloch theorem |
| title | Non-Hermitian Chiral Magnetic Effect in Equilibrium |
| title_full | Non-Hermitian Chiral Magnetic Effect in Equilibrium |
| title_fullStr | Non-Hermitian Chiral Magnetic Effect in Equilibrium |
| title_full_unstemmed | Non-Hermitian Chiral Magnetic Effect in Equilibrium |
| title_short | Non-Hermitian Chiral Magnetic Effect in Equilibrium |
| title_sort | non hermitian chiral magnetic effect in equilibrium |
| topic | non-hermitian hamiltonian chiral magnetic effect equilibrium transport Bloch theorem |
| url | https://www.mdpi.com/2073-8994/12/5/761 |
| work_keys_str_mv | AT maximnchernodub nonhermitianchiralmagneticeffectinequilibrium AT albertocortijo nonhermitianchiralmagneticeffectinequilibrium |