Nematic Skyrmions in Odd-Parity Superconductors

Abstract

We study topological excitations in two-component nematic superconductors, with a particular focus on Cu${}_x$Bi${}_2$Se${}_3$ as a candidate material. We find that the lowest-energy topological excitations are coreless vortices: a bound state of two spatially separated half-quantum vortices. These objects are nematic Skyrmions, since they are characterized by an additional topological charge. The inter-Skyrmion forces are dipolar in this model, i.e. attractive for certain relative orientations of the Skyrmions, hence forming multi-Skyrmion bound states.

14 pages, 3 figures; fixed minor typos

References in corpus (5)

• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Chiral CP^2 skyrmions in three-band superconductors
• Nematic Skyrmions in Odd-Parity Superconductors
• Majorana Kramers pair in a nematic vortex

Cited by in corpus (41)

• Nematic superconductivity in twisted bilayer graphene
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
• Nematic Skyrmions in Odd-Parity Superconductors
• Building traps for skyrmions by the incorporation of magnetic defects into nanomagnets: pinning and scattering traps by magnetic properties engineering
• Chiral Higgs Mode in Nematic Superconductors
• Spin supercurrent in two-dimensional superconductors with Rashba spin-orbit interaction
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Nematic superconductivity in the topological semimetal CaSn${}_3$
• Skyrmionic chains and lattices in $s+id$ superconductors
• Half Quantum Vortices in Nematic Superconductor
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Antichiral and nematicity-wave superconductivity
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Magnetic response of nematic superconductors: skyrmion stripes and their signatures in muon spin relaxation experiments
• Symmetries, Length Scales, Magnetic Response and Skyrmion Chains in Nematic Superconductors
• Phonon-induced rotation of the electronic nematic director in superconducting Bi${}_2$Se${}_3$
• Skyrmions formation due to unconventional magnetic modes in anisotropic multi-band superconductors
• Spontaneous strain and magnetization in doped topological insulators with nematic and chiral superconductivity
• The absence of Ginzburg-Landau mechanism for vestigial order in the normal phase above a two-component superconductor
• Breaking of Ginzburg-Landau description in the temperature dependence of the anisotropy in the nematic superconductor
• Lifshitz transition in dirty nematic superconductor
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Manipulating the nematic director by magnetic fields in the spin-triplet superconducting state of CuxBi2Se3
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
• Anisotropic superconductivity in the quasi-one-dimensional superconductor V${}_2$Ga${}_5$
• Fractional vortex array realized at twin boundary in a nematic superconductor
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Self-dual compact gauged baby skyrmions in a continuous medium
• Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity
• Revisiting vestigial order in nematic superconductors: gauge-field mechanisms and model constraints
• Self-dual solitons in a Born-Infeld baby Skyrme model
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties