Real-space decomposition of p-wave Kitaev chain
We propose an extended Bogoliubov transformation in real space for spinless fermions, based on which a class of Kitaev chains of length 2 N with zero chemical potential can be mapped to two independent Kitaev chains of length N . It provides an alternative way to investigate a complicated system fro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad2412 |
| _version_ | 1797319228082094080 |
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| author | D K He E S Ma Z Song |
| author_facet | D K He E S Ma Z Song |
| author_sort | D K He |
| collection | DOAJ |
| description | We propose an extended Bogoliubov transformation in real space for spinless fermions, based on which a class of Kitaev chains of length 2 N with zero chemical potential can be mapped to two independent Kitaev chains of length N . It provides an alternative way to investigate a complicated system from the result of relatively simple systems. We demonstrate the implications of this decomposition by a Su–Schrieffer–Heeger Kitaev model, which supports rich quantum phases. The features of the system, including the groundstate topology and nonequilibrium dynamics, can be revealed directly from that of sub-Kitaev chains. Based on this connection, two types of Bardeen–Cooper–Schrieffer (BCS)-pair order parameters are introduced to characterize the phase diagram, showing the ingredient of two different BCS pairing modes. Analytical analysis and numerical simulations show that the real-space decomposition for the ground state still holds true approximately in presence of finite chemical potential in the gapful regions. |
| first_indexed | 2024-03-08T04:03:47Z |
| format | Article |
| id | doaj.art-8f91859034884b43807730e868093beb |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-08T04:03:47Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-8f91859034884b43807730e868093beb2024-02-09T09:22:02ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126202301510.1088/1367-2630/ad2412Real-space decomposition of p-wave Kitaev chainD K He0https://orcid.org/0009-0004-5012-2302E S Ma1https://orcid.org/0000-0002-7314-991XZ Song2https://orcid.org/0000-0002-3315-4589School of Physics, Nankai University , Tianjin 300071, People’s Republic of ChinaSchool of Physics, Nankai University , Tianjin 300071, People’s Republic of ChinaSchool of Physics, Nankai University , Tianjin 300071, People’s Republic of ChinaWe propose an extended Bogoliubov transformation in real space for spinless fermions, based on which a class of Kitaev chains of length 2 N with zero chemical potential can be mapped to two independent Kitaev chains of length N . It provides an alternative way to investigate a complicated system from the result of relatively simple systems. We demonstrate the implications of this decomposition by a Su–Schrieffer–Heeger Kitaev model, which supports rich quantum phases. The features of the system, including the groundstate topology and nonequilibrium dynamics, can be revealed directly from that of sub-Kitaev chains. Based on this connection, two types of Bardeen–Cooper–Schrieffer (BCS)-pair order parameters are introduced to characterize the phase diagram, showing the ingredient of two different BCS pairing modes. Analytical analysis and numerical simulations show that the real-space decomposition for the ground state still holds true approximately in presence of finite chemical potential in the gapful regions.https://doi.org/10.1088/1367-2630/ad2412quantum phase transitionsquantum quench state engineering superconducting order parametersuperconducting phase transition |
| spellingShingle | D K He E S Ma Z Song Real-space decomposition of p-wave Kitaev chain New Journal of Physics quantum phase transitions quantum quench state engineering superconducting order parameter superconducting phase transition |
| title | Real-space decomposition of p-wave Kitaev chain |
| title_full | Real-space decomposition of p-wave Kitaev chain |
| title_fullStr | Real-space decomposition of p-wave Kitaev chain |
| title_full_unstemmed | Real-space decomposition of p-wave Kitaev chain |
| title_short | Real-space decomposition of p-wave Kitaev chain |
| title_sort | real space decomposition of p wave kitaev chain |
| topic | quantum phase transitions quantum quench state engineering superconducting order parameter superconducting phase transition |
| url | https://doi.org/10.1088/1367-2630/ad2412 |
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