Nonlinearn-pseudo fermions

Statistical Origin of Pseudo-Hermitian Supersymmetry and Pseudo-Hermitian Fermions

We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudoHermitian fermion (phermion) and abnormal phermion algebras and provide a pair of basic realizations of the algebra of N = 2 pseudo-supersymmetric quantum mechanics in which pseudo-supersymmetry is identified with either a boson-ph...

Symmetry breaking and (pseudo)spin polarization in Veselago lenses for massless Dirac fermions

Triplet Fermions and Dirac Fermions in Borophene

Borophene is a monolayer materials made of boron. A perfect planar boropehene called β12 borophene has Dirac cones and they are well reproduced by a tight-binding model according to recent experimental and first-principles calculation results. We explicitly derive a Dirac theory for them. Dirac cones are gapless when the inversion symmetry exists, while they are gapped when it is broken. In add...

Pseudo-cuspforms, pseudo-Laplacians

(∆− λ)f = T for a Γ-invariant distribution T on H, compactly-supported on Γ\H. The three main examples for T are described in detail below. That is, a slight roughness is tolerated in f at the support of the Γ-invariant distribution T . Three natural types of target distributions T are: (i) T is supported at a single point on Γ\H, (ii) T is supported on a closed geodesic on Γ\H, (iii) T evaluat...

Interacting fermions :

Most materials are either metals or insulators. When they are metals, their electronic properties are usually described by Landau's Fermi liquid theory. That is, they behave more or less like a free Fermi gas, with a few modifications due to electron-electron interactions. However, there exist a few metallic materials whose phenomenology does not fit within Fermi liquid theory. These are quasi-...