Quasiparticle picture of topological phase transitions induced by interactions
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911094126149632 |
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| author | Krishtopenko, S. S. Ikonnikov, A. V. Hartmann, F. Höfling, S. Jouault, B. Teppe, F. |
| author_facet | Krishtopenko, S. S. Ikonnikov, A. V. Hartmann, F. Höfling, S. Jouault, B. Teppe, F. |
| contents | We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a non-Hermitian quasiparticle Hamiltonian introduced on the basis of the Green's function. As an example analytically illustrating the application of the quasiparticle concept, we consider a topological phase transition induced by the short-range electrostatic disorder in a two dimensional system described by the Bernevig-Hughes-Zhang model. The latter allows us to explicitly demonstrate the change in the $\mathbb{Z}_2$ topological invariant and explain the quantized values of the longitudinal conductance in a certain range of the Fermi energy and the disorder strength found previously in numerical calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01367 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasiparticle picture of topological phase transitions induced by interactions Krishtopenko, S. S. Ikonnikov, A. V. Hartmann, F. Höfling, S. Jouault, B. Teppe, F. Materials Science We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a non-Hermitian quasiparticle Hamiltonian introduced on the basis of the Green's function. As an example analytically illustrating the application of the quasiparticle concept, we consider a topological phase transition induced by the short-range electrostatic disorder in a two dimensional system described by the Bernevig-Hughes-Zhang model. The latter allows us to explicitly demonstrate the change in the $\mathbb{Z}_2$ topological invariant and explain the quantized values of the longitudinal conductance in a certain range of the Fermi energy and the disorder strength found previously in numerical calculations. |
| title | Quasiparticle picture of topological phase transitions induced by interactions |
| topic | Materials Science |
| url | https://arxiv.org/abs/2503.01367 |