We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to massless Dirac fermions with backreaction. show that spectrum of fermionic modes strongly depends on choice coupling, particular, there are no localized for minimal Yukawa coupling. analyze scattering packet by kink. demonstrate outcome collision dynamically phase inco...

It is known that a non-local complex fermion can be written in terms of two Majorana fermions. We exploit this fact to explain the system zero modes bound vortex and an anti-vortex, on surface topological insulator contact with s-wave superconductor, as fermion. Although current density single mode vanishes, by starting wave packet consisted positive negative energy fermions, we specify time-de...

We propose a novel current-induced thermoelectric phenomenon, the nonlinear anomalous Ettingshausen effect (AEE), at zero magnetic field in inversion-asymmetric conductors. As an example, we discuss weak charge ordering state layered organic conductor alpha-(BEDT-TTF)2I3, which is two-dimensional massive Dirac fermion system with pair of tilted cones. The AEE analogue Hall effect, recently obse...

We consider dephasing by interactions in a one-dimensional chiral fermion system (e.g., a quantum Hall edge state). For finite-range interactions, we calculate the spatial decay of the Green's function at fixed energy, which sets the contrast in a Mach-Zehnder interferometer. Using a physically transparent semiclassical ansatz, we find a power-law decay of the coherence at high energies and zer...

Systems consisting of few interacting fermions are the building blocks of matter, with atoms and nuclei being the most prominent examples. We have created a few-body quantum system with complete control over its quantum state using ultracold fermionic atoms in an optical dipole trap. Ground-state systems consisting of 1 to 10 particles are prepared with fidelities of ∼90%. We can tune the inter...