Real-space decomposition of p-wave Kitaev chain
| Autor: | D K He, E S Ma, Z Song |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | New Journal of Physics, Vol 26, Iss 2, p 023015 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1367-2630 91859034 |
| DOI: | 10.1088/1367-2630/ad2412 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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