Motivated by the existence of metal-insulator transition in one-dimensional non-interacting fermions in quasiperiodic and pseudorandom potentials, we studied interacting spinless fermion models using exact many-body Lanczos diagonalization techniques. Our main focus was to understand the effect of the fermion-fermion interaction on the transport properties of aperiodic systems. We calculated th...

Many-polaron systems with finite charge-carrier density are often encountered experimentally. However, until recently, no satisfactory theoretical description of these systems was available even in the framework of simple models such as the one-dimensional spinless Holstein model considered here. In this work, previous results obtained using numerical as well as analytical approaches are review...

Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra O2 (or O2d more generally) are presented by using recursive constructions. As a typical example, an embedding of CAR onto the U(1)-invariant subalgebra of O2 is constructed explicitly. Generalizing this construction to the case of O2p , an embedding of CAR onto the U(1)-invariant subalgebra of...

We deal here with the notion of statistical order and apply it to a system interacting fermions endowed an SU2 × symmetry. The discussion takes place in thermal quantum scenario. Two distinct fermion–fermion interactions are at play. One them is well-known spin–flip interaction. other pairing interaction responsible for nuclear superconductivity. used novel quantifiers that yield insights regar...

We present a numerical analysis of spin-1/2 fermions in one-dimensional harmonic potential the presence magnetic point-like impurity at center trap. The model represents few-body analogue vicinity an s-wave superconductor. Already for few particles we find ground-state level crossing between sectors with different fermion parities. interpret this as precursor quantum phase transition, which occ...

Fermion-boson stars are starlike systems composed of the ordinary nuclear matter a neutron star and bosonic dark matter. The has typically been taken to be complex scalar field. A natural extension is for field charged. We make simplest gauge under $U(1)$. therefore study fermion--charged-boson stars. detailed stability this system by computing critical curves over whole parameter space. then h...

We propose causal fermion systems and Riemannian fermion systems as a framework for describing spinors on singular spaces. The underlying topological structures are introduced and analyzed. The connection to the spin condition in differential topology is worked out. The constructions are illustrated by many simple examples like the Euclidean plane, the two-dimensional Minkowski space, a conical...