Density of states of a Sierpinski gasket in two dimensions with anisotropic interactions

Autor:	M Hood, B. W. Southern
Rok vydání:	1986
Předmět:	Physics Condensed matter physics Gasket Isotropy General Physics and Astronomy Statistical and Nonlinear Physics Sierpinski triangle symbols.namesake Quadratic equation Condensed Matter::Statistical Mechanics symbols Density of states Anisotropy Hamiltonian (quantum mechanics) Mathematical Physics
Zdroj:	Journal of Physics A: Mathematical and General. 19:2679-2684
ISSN:	1361-6447 0305-4470
Popis:	The density of states of a quadratic Hamiltonian, with some anisotropy in the interactions, on a Sierpinski gasket in two dimensions is calculated. It is shown that the isotropic gasket is special in that the spectrum is composed of two distinct parts which correspond to localised molecular modes and hierarchical modes respectively. When anisotropy is added, the localised molecular modes disappear and only the hierarchical states remain.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f278dd9e45848a9093f7601b30c1482 https://doi.org/10.1088/0305-4470/19/13/033 Zobrazit plný text záznamu