Majorana Corner Modes and Flat-Band Majorana Edge Modes in Superconductor/Topological-Insulator/Superconductor Junctions
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Abstract
Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic lower-dimensional boundary modes, such as Majorana corner and hinge modes. However, higher-order topological superconductivity has yet to be found in naturally occurring materials. We investigate higher-order topology in a two-dimensional Josephson junction comprised of two s-wave superconductors separated by a topological insulator thin film. We find that zero-energy Majorana corner modes, a boundary fingerprint of higher-order topological superconductivity, can be achieved by applying magnetic field. When an in-plane Zeeman field is applied to the system, two corner modes appear in the superconducting junction. Furthermore, we also discover a two-dimensional nodal superconducting phase which supports flat-band Majorana edge modes connecting the bulk nodes. Importantly, we demonstrate that zero-energy Majorana corner modes are stable when increasing the thickness of topological insulator thin film.
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Xiao-Ting Chen, Chun-Hui Liu, Dong-Hui Xu, Chui-Zhen Chen. Majorana Corner Modes and Flat-Band Majorana Edge Modes in Superconductor/Topological-Insulator/Superconductor Junctions[J]. Chin. Phys. Lett., 2023, 40(9): 097403. DOI: 10.1088/0256-307X/40/9/097403
Xiao-Ting Chen, Chun-Hui Liu, Dong-Hui Xu, Chui-Zhen Chen. Majorana Corner Modes and Flat-Band Majorana Edge Modes in Superconductor/Topological-Insulator/Superconductor Junctions[J]. Chin. Phys. Lett., 2023, 40(9): 097403. DOI: 10.1088/0256-307X/40/9/097403
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Xiao-Ting Chen, Chun-Hui Liu, Dong-Hui Xu, Chui-Zhen Chen. Majorana Corner Modes and Flat-Band Majorana Edge Modes in Superconductor/Topological-Insulator/Superconductor Junctions[J]. Chin. Phys. Lett., 2023, 40(9): 097403. DOI: 10.1088/0256-307X/40/9/097403
Xiao-Ting Chen, Chun-Hui Liu, Dong-Hui Xu, Chui-Zhen Chen. Majorana Corner Modes and Flat-Band Majorana Edge Modes in Superconductor/Topological-Insulator/Superconductor Junctions[J]. Chin. Phys. Lett., 2023, 40(9): 097403. DOI: 10.1088/0256-307X/40/9/097403
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