Majorana modes of giant vortices

Gates, Logan; Penin, Alexander A.

doi:10.1103/physrevb.107.125418

Cited by 5 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The patient can take the necessary biological sample F I G U R E 1 "It's an insanely inequitable world. The number of people that climate is killing right now isn't 1% compared to global health inequity" (Bill Gates, Bill & Melinda Gates Foundation [2]). Can dried blood spot sampling, where a finger-prick blood sample is dripped onto a filter paper, contribute to reducing the unacceptable global health inequality with respect to laboratory diagnostics and treatment?…”

Section: Dried Blood Spot Samples: a Tool For Accessible And Safe Cli...mentioning

confidence: 99%

Dried blood spot analysis with liquid chromatography and mass spectrometry: Trends in clinical chemistry

Skogvold

Rootwelt

Reubsaet

et al. 2023

J of Separation Science

View full text Add to dashboard Cite

Dried blood spot samples are simple to prepare and transport, enabling safe and accessible diagnostics, both locally and globally. We review dried blood spot samples for clinical analysis, focusing on liquid chromatography‐mass spectrometry as a versatile measurement tool for these samples. Dried blood spot samples can provide information for, for example, metabolomics, xenobiotic analysis, and proteomics. Targeted analyses of small molecules are the main application of dried blood spot samples and liquid chromatography‐mass spectrometry, but emerging applications include untargeted metabolomics and proteomics. Applications are highly varied, including analyses related to newborn screening, diagnostics and monitoring of disease progression and treatment effects of virtually any disease, as well as studies into the physiology and effects of diet, exercise, xenobiotics, and doping. A range of dried blood spot products and methods are available, and applied liquid chromatography‐mass spectrometry instrumentation is varied with regard to liquid chromatography column formats and selectivity. In addition, novel approaches such as on‐paper sample preparation (e.g., selective trapping of analytes with paper‐immobilized antibodies) are described. We focus on research papers published in the last 5 years.

show abstract

Section: Dried Blood Spot Samples: a Tool For Accessible And Safe Cli...mentioning

confidence: 99%

Dried blood spot analysis with liquid chromatography and mass spectrometry: Trends in clinical chemistry

Skogvold

Rootwelt

Reubsaet

et al. 2023

J of Separation Science

View full text Add to dashboard Cite

show abstract

“…We mentioned that there have been discussions of Dirac fermions inside a scalar vortex [46][47][48], where it was suggested that for a MQV with vorticity ν, the Dirac fermions will support ν zero modes. By viewing the pairing gap ∆ as a dynamically generated scalar field, our results provide another example connecting the topological indices of MQVs with interesting states of fermions inside their cores.…”

Section: B Energy Spectrum and In-gap Statesmentioning

confidence: 99%

BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap

Guo

Chien

2022

Phys. Rev. A

View full text Add to dashboard Cite

The structures of multiply quantized vortices (MQVs) of equal-population atomic Fermi superfluid in a rotating spherical bubble trap are analyzed by solving the Bogoliubov-de Gennes (BdG) equation throughout the BCS-Bose Einstein condensation (BEC) crossover. Consistent with the Poincare-Hopf theorem, a pair of vortices emerge at the poles of the rotation axis in the presence of azimuthal symmetry, and the compact geometry provides confinement for the MQVs. While the single-vorticity vortex structure is similar to that in a planar geometry, higher-vorticity vortices exhibit interesting phenomena at the vortex center, such as a density peak due to accumulation of normal Fermi gas and reversed circulation of current due to in-gap states carrying angular momentum, in the BCS regime but not the BEC regime because of the subtle relations between the order parameter and density. The energy spectrum shows the number of the in-gap state branches corresponds to the vorticity of a vortex, and an explanation based on topological correspondence is provided.

show abstract

Zero modes of fermions trapped by giant vortices

Gates

Penin

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

Zero-energy solutions of the Dirac equation for the fermions bound to giant vortices of large winding number n are studied in the abelian Higgs and Chern-Simons Higgs models. The case of Jackiw-Rossi theory of the Majorana states in topological superconductors is discussed in detail. By expanding in inverse powers of n we find an analytic result for asymptotically all n solutions required by the index theorem. In the abelian Higgs model the zero modes fill the vortex core and reveal a universal structure independent of fine details of the gauge and scalar field interactions which, in particular, determines the general properties of the large-n superconducting cosmic strings. On the contrary, for the Chern-Simons Higgs vortices the zero modes are localized on the core boundary and the explicit solution is obtained for the supersymmetric couplings in a self-dual background.

show abstract

Majorana modes of giant vortices

Cited by 5 publications

References 25 publications

Dried blood spot analysis with liquid chromatography and mass spectrometry: Trends in clinical chemistry

Dried blood spot analysis with liquid chromatography and mass spectrometry: Trends in clinical chemistry

BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap

Zero modes of fermions trapped by giant vortices

Contact Info

Product

Resources

About