Three Fibonacci-chain aperiodic algebras

Absorption Spectra of a Graphene Embedded One Dimensional Fibonacci Aperiodic Structure

In this paper, we explore the linear response of one dimensionalquasiperiodic structure based on Fibonacci sequence composed of silicon dioxide,polystyrene and graphene materials. Here, a graphene monolayer is sandwichedbetween two adjacent layers. The numerical results are obtained by using the standardtransfer matrix method. Due to the presence of graphene sheet in eac...

Generalized Heisenberg Algebras and Fibonacci Series

We have constructed a Heisenberg-type algebra generated by the Hamiltonian, the step operators and an auxiliar operator. This algebra describes quantum systems having eigenvalues of the Hamiltonian depending on the eigenvalues of the two previous levels. This happens, for example, for systems having the energy spectrum given by Fibonacci sequence. Moreover, the algebraic structure depends on tw...

Frequency Dependent Conductivity of the Fibonacci–Chain

Quasicrystals (QC)1 and their periodic approximants reveal unusual transport properties, e.g., extremely low conductivity for alloys of metallic constituents2, and it is generally believed that these properties are directly related to the long range but nonperiodic order. However, no coherent theoretical framework has been successfully established. For instance, previous calculations of the den...

Quasicrystals, aperiodic order, and groupoid von Neumann algebras

Certain Aperiodic Automorphisms of Unital Simple Projectionless C * -algebras

Let G be an inductive limit of finite cyclic groups and let A be a unital simple projectionless C∗-algebra with K1(A) = G and with a unique tracial state, as constructed based on dimension drop algebras by Jiang and Su. First, we show that any two aperiodic elements in Aut(A)/WInn(A) are conjugate, where WInn(A) means the subgroup of Aut(A) consisting of automorphisms which are inner in the tra...