Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model
We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar–Bernevig–Huges (MBBH) model. The MBBH model belongs to the class of second-order topological superconductors (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/7/1/26 |
| _version_ | 1797472153122111488 |
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| author | Alfonso Maiellaro Fabrizio Illuminati Roberta Citro |
| author_facet | Alfonso Maiellaro Fabrizio Illuminati Roberta Citro |
| author_sort | Alfonso Maiellaro |
| collection | DOAJ |
| description | We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar–Bernevig–Huges (MBBH) model. The MBBH model belongs to the class of second-order topological superconductors (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mi>O</mi><mi>T</mi><mi>S</mi><msub><mi>C</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula>), featuring robust Majorana corner modes. We consider an interacting strip of four chains of length <i>L</i> and perform a density matrix renormalization group (DMRG) numerical simulation based on a tensor-network approach. Study of the non-local fermionic correlations and the degenerate entanglement spectrum indicates that the topological phases are robust in the presence of interactions, even in the strongly interacting regime. |
| first_indexed | 2024-03-09T19:58:07Z |
| format | Article |
| id | doaj.art-83985a45da034d61b9a2b7ea0ecd9a11 |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-09T19:58:07Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-83985a45da034d61b9a2b7ea0ecd9a112023-11-24T00:50:42ZengMDPI AGCondensed Matter2410-38962022-03-01712610.3390/condmat7010026Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes ModelAlfonso Maiellaro0Fabrizio Illuminati1Roberta Citro2Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, ItalyDipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, ItalyDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, ItalyWe study the effects of Coulomb repulsive interactions on a Majorana Benalcazar–Bernevig–Huges (MBBH) model. The MBBH model belongs to the class of second-order topological superconductors (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mi>O</mi><mi>T</mi><mi>S</mi><msub><mi>C</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula>), featuring robust Majorana corner modes. We consider an interacting strip of four chains of length <i>L</i> and perform a density matrix renormalization group (DMRG) numerical simulation based on a tensor-network approach. Study of the non-local fermionic correlations and the degenerate entanglement spectrum indicates that the topological phases are robust in the presence of interactions, even in the strongly interacting regime.https://www.mdpi.com/2410-3896/7/1/26second-order topological superconductivityMajorana fermionsgeneralized Kitaev modelsCoulomb repulsive interactions |
| spellingShingle | Alfonso Maiellaro Fabrizio Illuminati Roberta Citro Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model Condensed Matter second-order topological superconductivity Majorana fermions generalized Kitaev models Coulomb repulsive interactions |
| title | Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model |
| title_full | Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model |
| title_fullStr | Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model |
| title_full_unstemmed | Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model |
| title_short | Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model |
| title_sort | topological phases of an interacting majorana benalcazar bernevig hughes model |
| topic | second-order topological superconductivity Majorana fermions generalized Kitaev models Coulomb repulsive interactions |
| url | https://www.mdpi.com/2410-3896/7/1/26 |
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