Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit
Majorana zero modes (MZMs) have attracted tremendous attention in condensed matter and materials physics communities due to the implications in topological quantum computation. One-dimensional (1D) dimerized Kitaev chain is a prototype model for MZMs, but its realization remains a challenge in mater...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2022-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac6230 |
| _version_ | 1797748516707106816 |
|---|---|
| author | Junjie Yao Xiamin Hao Biyu Song Yizhen Jia Chenqiang Hua Miao Zhou |
| author_facet | Junjie Yao Xiamin Hao Biyu Song Yizhen Jia Chenqiang Hua Miao Zhou |
| author_sort | Junjie Yao |
| collection | DOAJ |
| description | Majorana zero modes (MZMs) have attracted tremendous attention in condensed matter and materials physics communities due to the implications in topological quantum computation. One-dimensional (1D) dimerized Kitaev chain is a prototype model for MZMs, but its realization remains a challenge in material systems. Here, we develop a distinctive approach to achieve Majorana-like end states (MESs) by implementing practical dimerized Kitaev topolectrical circuits. Specifically, two arrays of inductors are arranged to simulate particles and antiparticles, while intra- and inter-array capacitive connections are used to model hopping and superconducting pairing. Three topological phases can be achieved by tuning the capacitance, i.e. the trivial phase, Su–Schrieffer–Heeger topological phase and Kitaev phase, with distinct field strength distributions in real space. Majorana splitting is observed around a domain wall in the circuit, and we propose an efficient experimental observable-edge distance-to characterize the process as premonition of topological phase transition. Remarkably, dynamics of the Gaussian wave packet in time domain provide an excellent signal to detect MESs in experiments, as only MESs allow nonlocal propagation in circuit network. Our results not only manifest the superiorities of topolectrical circuits for exotic topological states, but also pave the way for possible applications in electrical engineering and signal processing. |
| first_indexed | 2024-03-12T16:05:55Z |
| format | Article |
| id | doaj.art-c6c7a07ba7904fde8b9f7e299c8267b5 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:55Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c6c7a07ba7904fde8b9f7e299c8267b52023-08-09T14:23:00ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124404303210.1088/1367-2630/ac6230Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuitJunjie Yao0Xiamin Hao1Biyu Song2Yizhen Jia3Chenqiang Hua4Miao Zhou5https://orcid.org/0000-0003-1390-372XSchool of Physics, Beihang University , Beijing 100191, People’s Republic of ChinaSchool of Physics, Beihang University , Beijing 100191, People’s Republic of ChinaSchool of Physics, Beihang University , Beijing 100191, People’s Republic of China; Beihang Hangzhou Innovation Institute Yuhang , Hangzhou 310023, People’s Republic of ChinaSchool of Physics, Beihang University , Beijing 100191, People’s Republic of China; Beihang Hangzhou Innovation Institute Yuhang , Hangzhou 310023, People’s Republic of ChinaBeihang Hangzhou Innovation Institute Yuhang , Hangzhou 310023, People’s Republic of ChinaSchool of Physics, Beihang University , Beijing 100191, People’s Republic of China; Beihang Hangzhou Innovation Institute Yuhang , Hangzhou 310023, People’s Republic of ChinaMajorana zero modes (MZMs) have attracted tremendous attention in condensed matter and materials physics communities due to the implications in topological quantum computation. One-dimensional (1D) dimerized Kitaev chain is a prototype model for MZMs, but its realization remains a challenge in material systems. Here, we develop a distinctive approach to achieve Majorana-like end states (MESs) by implementing practical dimerized Kitaev topolectrical circuits. Specifically, two arrays of inductors are arranged to simulate particles and antiparticles, while intra- and inter-array capacitive connections are used to model hopping and superconducting pairing. Three topological phases can be achieved by tuning the capacitance, i.e. the trivial phase, Su–Schrieffer–Heeger topological phase and Kitaev phase, with distinct field strength distributions in real space. Majorana splitting is observed around a domain wall in the circuit, and we propose an efficient experimental observable-edge distance-to characterize the process as premonition of topological phase transition. Remarkably, dynamics of the Gaussian wave packet in time domain provide an excellent signal to detect MESs in experiments, as only MESs allow nonlocal propagation in circuit network. Our results not only manifest the superiorities of topolectrical circuits for exotic topological states, but also pave the way for possible applications in electrical engineering and signal processing.https://doi.org/10.1088/1367-2630/ac6230topolectrical circuitKitaev chainband structuresMajorana splittingtopological phase transition |
| spellingShingle | Junjie Yao Xiamin Hao Biyu Song Yizhen Jia Chenqiang Hua Miao Zhou Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit New Journal of Physics topolectrical circuit Kitaev chain band structures Majorana splitting topological phase transition |
| title | Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit |
| title_full | Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit |
| title_fullStr | Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit |
| title_full_unstemmed | Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit |
| title_short | Majorana-like end states in one-dimensional dimerized Kitaev topolectrical circuit |
| title_sort | majorana like end states in one dimensional dimerized kitaev topolectrical circuit |
| topic | topolectrical circuit Kitaev chain band structures Majorana splitting topological phase transition |
| url | https://doi.org/10.1088/1367-2630/ac6230 |
| work_keys_str_mv | AT junjieyao majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit AT xiaminhao majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit AT biyusong majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit AT yizhenjia majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit AT chenqianghua majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit AT miaozhou majoranalikeendstatesinonedimensionaldimerizedkitaevtopolectricalcircuit |