6533b85ffe1ef96bd12c12a1

RESEARCH PRODUCT

Identification of spatially confined states in two-dimensional quasiperiodic lattices.

T. RiethMichael Schreiber

subject

Physicssymbols.namesakeLattice (order)Quantum mechanicsQuasiperiodic functionDegenerate energy levelsVertex modelsymbolsHamiltonian (quantum mechanics)Eigenvalues and eigenvectors

description

We study the electronic eigenstates on several two-dimensional quasiperiodic lattices, such as the Penrose lattice and random-tiling lattices, using a tight-binding Hamiltonian in the vertex model. The infinitely degenerate states at E=0 are especially investigated. We present a systematic procedure which allows us to identify numerically the spatially strongly localized so-called confined states.

yearjournalcountryeditionlanguage
1995-06-01Physical review. B, Condensed matter
10.1103/physrevb.51.15827https://pubmed.ncbi.nlm.nih.gov/9978559