Transport properties of Majorana drumhead surface states in topological nodal-ring superconductors

Fu, Pei-Hao; Liu, Junfeng; Wu, Jiansheng

doi:10.1103/physrevb.102.075430

Cited by 14 publications

(8 citation statements)

References 91 publications

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“…In these systems each Weyl node is split by the interaction into a pair of Bogoliubov-Weyl 24,26,34 nodes and Majorana states appear at the boundaries. This behavior has also been recently explored in nodal ring semimetals 33 and does indeed emerge in our model with the addition of an interorbital pairing term.…”

Section: Introductionsupporting

confidence: 76%

“…The observation of superconductivity in topological systems has brought considerable attention to the problem of the interplay of strong correlations and pairing with topology, including in the context of Dirac and Weyl semimetals [24][25][26][27][28][29][30] , as well as nodal line semimetals [31][32][33] , which may support exotic superconducting phases. Many models are known to support topological superconductivity, typically characterized by the presence of Majorana surface or edge states.…”

Section: Introductionmentioning

confidence: 99%

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Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains

Rosenberg,

Manousakis

2021

Preprint

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We consider a three-dimensional model of coupled Su-Schrieffer-Heeger (SSH) chains. The analytically soluble model discussed here reliably reproduces the features of the band structure of crystalline polyacetylene as obtained from density-functional theory. We show that when a certain inter-chain coupling is sufficiently increased, the system develops a ring of Weyl nodes. We argue that such an increase could be achieved experimentally by intercalation or extreme pressure. With the addition of a simple intra-orbital pairing term we find that the system supports an exotic superconducting state with drumhead surface states and annular Majorana states localized on the surface. In addition to suggesting a novel real material realization of a nodal ring semimetal and possibly topological superconductivity, our results provide a new perspective on the SSH model, demonstrating that a simple extension of this broadly-impacting model can once again provide fundamental insights on the topological behavior of condensed matter systems.

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Section: Introductionsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains

Rosenberg,

Manousakis

2021

Preprint

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“…Previously several materials have been proposed to be the NLSM, such as PbTaSe 2 [9], TlTaSe 2 [10], InNbS 2 /InNbSe 2 [11], In x TaSe 2 [12,13], CaP 3 [14], and ZrSiSe [15]. The unusual bulk and surface states may provide a useful platform to exhibit various interesting physical phenomenon, such as the surface Chern insulator [16], the three dimensional quantum hall effect [17], the second-order topological insulator [18][19][20][21], the Z 2 monopole [4,7,18], and the possible superconducting state [12,13,[22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

“…Thus the SC-NLSM system may be a candidate to realize the fragile topology, with the topological properties being rather different from the stable topological system. Previously, the unstable edge states of the SC-NLSM have indeed been proposed [33,34], while the mechanism has not been fully understood yet.…”

Section: Introductionmentioning

confidence: 99%

Fragile topology in nodal-line semimetal superconductors

Wang

Zhou

2022

New J. Phys.

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Fragile topological insulator are an exotic phase with unstable edge states. Its nontrivial band topology can be removed by coupling to additional topologically trivial bands. Here we reveal that the fragile band topology can be realized in the inversion symmetric odd parity superconducting nodal line semimetal (SC-NLSM) materials with and without the spin orbital coupling. Without the spin orbital coupling, both the $s$-wave SC-NLSM and the $p$-wave SC-NLSM host a pair of Majorana zero modes on the system surface. For the spinful case, it has fourfold inverted bands and generates fourfold degenerate Majorana surface/edge states. However, we verify that for all of the systems we considered, they belong to the fragile topological superconducting system based on the Wilson loop method. The vortex bound states are studied numerically. Whether the stable Majorana zero modes exist depend strongly on the systems.

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“…For a three-dimensional (3D) material, the BC may take the form of 0D, 1D, or 2D. Regarding the material with a 0D band degeneracy around the Fermi level, it may be a Dirac–Weyl semimetal. − Materials with 1D BCs are known as the nodal line metals/semimetals, which have been intensively investigated in recent works. − Recently, materials possessing 2D BCs were proposed, named nodal surface metals/semimetals. − Furthermore, besides the dimensionalities, the classification of topological metals/semimetals can also be influenced by other aspects. First, the energy dispersion around the BCs is an important factor .…”

mentioning

confidence: 99%

Spin–Orbit Coupling-Determined Topological Phase: Topological Insulator and Quadratic Dirac Semimetals

Liu

Meng

et al. 2020

J. Phys. Chem. Lett.

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Our work reveals a class of three-dimensional materials whose main features are dominated by d-orbital states. Their unique properties are derived from the low-energy states t 2g . Without spin−orbital coupling (SOC), we find a triple degenerate point with a quadratic dispersion, demonstrated by an effective Hamiltonian. When SOC is included, the sign of SOC could determine the topological phases of materials: a negative SOC contributes a Dirac semimetal phase with a quadratic energy dispersion, whereas a positive SOC leads to a strong topological insulator phase. There exist clear surface states for the corresponding topological phases. Very interestingly, by application of a triaxial strain, the sequence of bands can be exchanged, as do the topological phases. In particular, there exists a 6-fold degenerate point under a critical strain. Furthermore, we use a uniaxial compressive/tensile strain, changing the quadratic Dirac point into a linear Dirac/strong topological insulator phase.

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Transport properties of Majorana drumhead surface states in topological nodal-ring superconductors

Cited by 14 publications

References 91 publications

Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains

Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains

Fragile topology in nodal-line semimetal superconductors

Spin–Orbit Coupling-Determined Topological Phase: Topological Insulator and Quadratic Dirac Semimetals

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