منابع مشابه
Local and Global Continuity of the Integrated Density of States
The integrated density of states (IDS) N(E) is the distribution function of a nonnegative measure ν, the density of states measure (DOS). This measure usually obtained as the weak infinite-volume limit of the local eigenvalue counting function for the system restricted to a finite-volume region. For Schrödinger operators with random potentials, the eigenvalue counting function for the finite-vo...
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While metamaterials are often desirable for near-field functions, such as perfect lensing, or cloaking, they are often quantified by their response to plane waves from the far field. Here, we present a theoretical analysis of the local density of states near lattices of discrete magnetic scatterers, i.e., the response to near field excitation by a point source. Based on a pointdipole theory usi...
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We present a rigorous and general method to extract the local density of states r i(v) of a system from its time response to a specified external perturbation. This method is order-N when the matrix is sparse. In a single run it gives r i(v),r i(2v), . . . ,r i(nv), . . . concurrently, which enhances the total efficiency by two decades. Application to a lattice-dynamics problem of 4096 SiC part...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2016
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.117.207401