Majorana corner modes in an <i>s</i>-wave second order topological superfluid

Wu, Ya-Jie; Gao, Tan-Biao; Li, Ning; Zhou, Jiang; Kou, Su-Peng

doi:10.1088/1361-648x/ab6021

Cited by 7 publications

(6 citation statements)

References 89 publications

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“…It is found that the cooperation of the OIPZE and s-wave pairing order could also leads to Dirac mass possessing opposite signs at adjacent edges. However, contrary to the in-plane Zeeman field in references [84,85], OIPZE determines the sign of Dirac mass along y while not along x.…”

Section: Introductionmentioning

confidence: 69%

“…The topological classification of HOT states has been made based on spatial symmetries [82,83]. Recently, to avoid complex pairings and complicated lattice structures, it is proposed that secondorder topological SCs and SFs could emerge in a quantum spin-Hall insulator with the s-wave pairing and the in-plane Zeeman field [84,85]. In these schemes, the in-plane Zeeman field as a key parameter gives rise to the opposite Dirac masses on adjacent edges, and induces Majorana zero-energy states at corners.…”

Section: Introductionmentioning

confidence: 99%

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Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

Wu¹,

Tu²,

Li³

2022

J. Phys.: Condens. Matter

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Higher-order topological superconductors and superfluids (SFs) host lower-dimensional Majorana corner and hinge states since novel topology exhibitions on boundaries. While such topological nontrivial phases have been explored extensively, more possible schemes are necessary for engineering Majorana states. In this paper we propose Majorana corner states could be realized in a two-dimensional attractive quantum spin-Hall insulator with opposite in-plane Zeeman energy at two sublattice sites. The appropriate Zeeman field leads to the opposite Dirac mass for adjacent edges of a square sample, and naturally induce Majorana corner states. This topological phase can be characterized by Majorana edge polarizations, and it is robust against perturbations on random potentials and random phase fluctuations as long as the edge gap remains open. Our work provides a new possibility to realize a second-order topological SF in two dimensions and engineer Majorana corner states.

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Section: Introductionmentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

Wu¹,

Tu²,

Li³

2022

J. Phys.: Condens. Matter

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“…Topological systems are of great significance in the condensed-matter physics. [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66] The researches on non-Hermitian Su-Schrieffer-Heeger (SSH) chain, Chern insulator, and nodal-line semimetals have received great interests. [67][68][69][70][71][72][73][74][75] As the progress on optical realization of the topological systems, the field of topological photonics has been stimulated.…”

Section: Introductionmentioning

confidence: 99%

Topology of a parity–time symmetric non-Hermitian rhombic lattice

Zhang¹,

Jin²,

Song³

2022

Chinese Phys. B

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We investigate the topological properties of a trimerized parity–time ( P T ) symmetric non-Hermitian rhombic lattice. Although the system is P T -symmetric, the topology is not inherited from the Hermitian lattice; in contrast, the topology can be altered by the non-Hermiticity and depends on the couplings between the sublattices. The bulk–boundary correspondence is valid and the Bloch bulk captures the band topology. Topological edge states present in the two band gaps and are predicted from the global Zak phase obtained through the Wilson loop approach. In addition, the anomalous edge states compactly localize within two diamond plaquettes at the boundaries when all bands are flat at the exceptional point of the lattice. Our findings reveal the topological properties of the P T -symmetric non-Hermitian rhombic lattice and shed light on the investigation of multi-band non-Hermitian topological phases.

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“…The topological classification of HOT states has been made based on spatial symmetries [75,76]. Recently, to avoid complex pairings and complicated lattice structures, it is proposed that secondorder topological SCs and SFs could emerge in a quantum spin-Hall insulator with the s-wave pairing and in-plane Zeeman field [77,78]. In these schemes, the in-plane Zeeman field gives rise to the opposite Dirac masses on adjacent edges, and induces Majorana zero-energy states at corners.…”

Section: Introductionmentioning

confidence: 99%

“…However, contrary to the inplane Zeeman field in Refs. [77,78], OIPZE determines the sign of Dirac mass along y while not along x.…”

Section: Introductionmentioning

confidence: 99%

Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

Wu,

Tu,

2022

Preprint

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Higher-order topological superconductors and superfluids host lower-dimensional Majorana corner and hinge states since novel topology exhibitions on boundaries. While such topological nontrivial phases have been explored extensively, more possible schemes are necessary for engineering Majorana states. In this paper we propose Majorana corner states could be realized in a two-dimensional attractive quantum spin-Hall insulator with opposite in-plane Zeeman energy at two sublattice sites. The appropriate Zeeman field leads to the opposite Dirac mass for adjacent edges of a square sample, and naturally induce Majorana corner states. This topological phase can be characterized by Majorana edge polarizations, and it is robust against perturbations on random potentials as long as the edge gap remains open. Our work provides a new possibility to realize a second-order topological superfluid in two dimensions and engineer Majorana corner states.

show abstract

Majorana corner modes in an s-wave second order topological superfluid

Cited by 7 publications

References 89 publications

Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

Topology of a parity–time symmetric non-Hermitian rhombic lattice

Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites

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