The vibration spectrum and the scaling exponents near zero frequency are calculated for me-dimensional complex Penrose chain which is constituted with two kinds of atoms and without any periodic structure.The results ...The vibration spectrum and the scaling exponents near zero frequency are calculated for me-dimensional complex Penrose chain which is constituted with two kinds of atoms and without any periodic structure.The results show that there are obviously several gape.The scaling exponent of frequence,defined byω(bN)~b^(-a)ω(N),equals one.The Penrose chain is a nontrivial fractal with the inhomogeneous and selfsimilar structure,the fractal and spectral dimensions me all equal to one.展开更多
The Si(001)surface is studied by the stab dynamical calculation using Keating model with the inclusion of an anisotropic pair interaction between surface atoms.T=0 phase diagram is obtained by diagonalizing the slab m...The Si(001)surface is studied by the stab dynamical calculation using Keating model with the inclusion of an anisotropic pair interaction between surface atoms.T=0 phase diagram is obtained by diagonalizing the slab matrix numerically.Detailed information of the S(001)surface reconstructive structure is afforded and to be compared with experiments.展开更多
基金This work was supported by the Science Fund of the Chinese Academy of Sciences of Theoretical Physics,Academia Sinica。
文摘The vibration spectrum and the scaling exponents near zero frequency are calculated for me-dimensional complex Penrose chain which is constituted with two kinds of atoms and without any periodic structure.The results show that there are obviously several gape.The scaling exponent of frequence,defined byω(bN)~b^(-a)ω(N),equals one.The Penrose chain is a nontrivial fractal with the inhomogeneous and selfsimilar structure,the fractal and spectral dimensions me all equal to one.
基金This work was Supported by the Science Fund of the Chinese Academy of Sciences.
文摘The Si(001)surface is studied by the stab dynamical calculation using Keating model with the inclusion of an anisotropic pair interaction between surface atoms.T=0 phase diagram is obtained by diagonalizing the slab matrix numerically.Detailed information of the S(001)surface reconstructive structure is afforded and to be compared with experiments.