We consider a normal lead coupled to a Majorana bound state. We show that the spin-resolved current correlations exhibit unique features which distinguish Majorana bound states from other low-energy resonances. In particular, the spin-up and spin-down currents from a Majorana bound state are anticorrelated at low bias voltages, and become uncorrelated at higher voltages. This behavior is indepe...

Two real vector fields emerge as spin connections of the fermion field introduced as a representation of the local Lorentz group by Dirac spinors. One of these fields is identified (following V.Fock [1]) as the electromagnetic field. The second axial field is sufficient to describe parity non-conserving effects in atoms and it is sensitive to the second internal degree of freedom [2] of a Dirac...

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundaries. In conventional three-dimensional topological superconductors, in-gap appear in the form spin-1/2 fermions with a quasirelativistic dispersion relation. Here, we show that unconventional can emerge surface protected by rotational symmetry. The classified into three different categ...

We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains can be easily tuned between trivial and topological ground states. In the latter, spatially resolved spectroscopy can be used to probe the Majorana fermion end states. Decoupled Majorana bound stat...

We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana fermions through electron tunneling, the Majorana fermions induce resonant Andreev reflections from the lead to the grounded superconductor. The linear tunneling conductance is 0 (2e(2)/h) if there...

${}^{3}P_{2}$ superfluids realized in neutron stars are the largest topological quantum matters our Universe. We establish existence and stability of non-Abelian half-quantum vortices (HQVs) with strong magnetic fields. Using a self-consistent microscopic approach, we find that singly quantized vortex is energetically destabilized into pair two HQVs owing to strongly spin-orbit-coupled pairing....

We study how stable the Majorana-mediated spin transport in a quantum Kitaev model is against thermal fluctuations. Using time-dependent pure state method, we examine finite-temperature dynamics model. The exhibits two characteristic temperatures $T_L$ and $T_H$, which correspond to energy scales of local flux itinerant Majorana fermion, respectively. At low $(T\ll T_L)$, an almost flux-free re...

We investigate the phenomenology of a non-thermal dark matter (DM) candidate in context flavor models that explain hierarchy masses and mixings quarks leptons via Froggatt-Nielsen (FN) mechanism. A flavor-dependent $U(1)_{\rm FN}$ symmetry explains fermion mass mixing hierarchy, also provides mechanism for suppressed interactions DM, assumed to be Majorana fermion, with Standard Model (SM) part...

We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains can be easily tuned between trivial and topological ground state. In the latter, spatial resolved spectroscopy can be used to probe the Majorana fermion end states. Decoupled Majorana bound states ...

On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.