Quasiparticle picture of topological phase transitions induced by interactions
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...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.033116 |
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| _version_ | 1839572681945513984 |
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| author | S. S. Krishtopenko A. V. Ikonnikov F. Hartmann S. Höfling B. Jouault F. Teppe |
| author_facet | S. S. Krishtopenko A. V. Ikonnikov F. Hartmann S. Höfling B. Jouault F. Teppe |
| author_sort | S. S. Krishtopenko |
| collection | DOAJ |
| description | 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 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 | Article |
| id | doaj-art-0542050c17f64a809d22f0a80b41eb7c |
| institution | Matheson Library |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-0542050c17f64a809d22f0a80b41eb7c2025-08-04T14:10:39ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303311610.1103/PhysRevResearch.7.033116Quasiparticle picture of topological phase transitions induced by interactionsS. S. KrishtopenkoA. V. IkonnikovF. HartmannS. HöflingB. JouaultF. TeppeWe 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 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.http://doi.org/10.1103/PhysRevResearch.7.033116 |
| spellingShingle | S. S. Krishtopenko A. V. Ikonnikov F. Hartmann S. Höfling B. Jouault F. Teppe Quasiparticle picture of topological phase transitions induced by interactions Physical Review Research |
| title | Quasiparticle picture of topological phase transitions induced by interactions |
| title_full | Quasiparticle picture of topological phase transitions induced by interactions |
| title_fullStr | Quasiparticle picture of topological phase transitions induced by interactions |
| title_full_unstemmed | Quasiparticle picture of topological phase transitions induced by interactions |
| title_short | Quasiparticle picture of topological phase transitions induced by interactions |
| title_sort | quasiparticle picture of topological phase transitions induced by interactions |
| url | http://doi.org/10.1103/PhysRevResearch.7.033116 |
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