Z_{2} characterization for three-dimensional multiband Hubbard models
We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the half-filled, three-dimensional time-reversal-invariant Hofstadter...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-03-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013299 |
| _version_ | 1797211547850768384 |
|---|---|
| author | Bernhard Irsigler Jun-Hui Zheng Fabian Grusdt Walter Hofstetter |
| author_facet | Bernhard Irsigler Jun-Hui Zheng Fabian Grusdt Walter Hofstetter |
| author_sort | Bernhard Irsigler |
| collection | DOAJ |
| description | We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the half-filled, three-dimensional time-reversal-invariant Hofstadter model with finite spin-orbit coupling. Besides the weak and strong topological insulator phases we find a nodal line semimetal in the parameter regime between the two three-dimensional topological insulator phases. Using dynamical mean-field theory combined with the topological Hamiltonian approach we find stabilization of these three-dimensional topological states due to the Hubbard interaction. We study surface states which exhibit an asymmetry between left and right surfaces originating from the broken parity symmetry of the system. Our results set the stage for further research on inhomogeneous three-dimensional topological systems, proximity effects, topological Mott insulators, nontrivially linked nodal line semimetals, and circuit-based quantum simulators. |
| first_indexed | 2024-04-24T10:28:14Z |
| format | Article |
| id | doaj.art-951c203264a542f1909aab12ff6996f2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:14Z |
| publishDate | 2020-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-951c203264a542f1909aab12ff6996f22024-04-12T16:51:17ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101329910.1103/PhysRevResearch.2.013299Z_{2} characterization for three-dimensional multiband Hubbard modelsBernhard IrsiglerJun-Hui ZhengFabian GrusdtWalter HofstetterWe introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the half-filled, three-dimensional time-reversal-invariant Hofstadter model with finite spin-orbit coupling. Besides the weak and strong topological insulator phases we find a nodal line semimetal in the parameter regime between the two three-dimensional topological insulator phases. Using dynamical mean-field theory combined with the topological Hamiltonian approach we find stabilization of these three-dimensional topological states due to the Hubbard interaction. We study surface states which exhibit an asymmetry between left and right surfaces originating from the broken parity symmetry of the system. Our results set the stage for further research on inhomogeneous three-dimensional topological systems, proximity effects, topological Mott insulators, nontrivially linked nodal line semimetals, and circuit-based quantum simulators.http://doi.org/10.1103/PhysRevResearch.2.013299 |
| spellingShingle | Bernhard Irsigler Jun-Hui Zheng Fabian Grusdt Walter Hofstetter Z_{2} characterization for three-dimensional multiband Hubbard models Physical Review Research |
| title | Z_{2} characterization for three-dimensional multiband Hubbard models |
| title_full | Z_{2} characterization for three-dimensional multiband Hubbard models |
| title_fullStr | Z_{2} characterization for three-dimensional multiband Hubbard models |
| title_full_unstemmed | Z_{2} characterization for three-dimensional multiband Hubbard models |
| title_short | Z_{2} characterization for three-dimensional multiband Hubbard models |
| title_sort | z 2 characterization for three dimensional multiband hubbard models |
| url | http://doi.org/10.1103/PhysRevResearch.2.013299 |
| work_keys_str_mv | AT bernhardirsigler z2characterizationforthreedimensionalmultibandhubbardmodels AT junhuizheng z2characterizationforthreedimensionalmultibandhubbardmodels AT fabiangrusdt z2characterizationforthreedimensionalmultibandhubbardmodels AT walterhofstetter z2characterizationforthreedimensionalmultibandhubbardmodels |