# Tight-binding theory of force constant models

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- Kinetic energy matrices in a basis of equidensity orbitals. Harriman, John E. // Journal of Chemical Physics;4/15/1996, Vol. 104 Issue 15, p5912
The matrix of the kinetic energy operator can be divided into two components, one of which is equivalent to the matrix of a function so that it is effectively local. This decomposition is basis-set dependent and is particularly simple when equidensity orbitals are used. It is shown that for a...

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Motivated by recent developments in the field of one-dimensional topological superconductors, we investigate the topological properties of s-matrix of generic superconducting junctions where dimension should not play any role. We argue that for a finite junction the s-matrix is always...

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A general expression is obtained for the exchange interaction energy of an electron in a semiconductor for arbitrary degree of degeneracy of an electron gas. The single-particle exchange energy is expressed in terms of an integral function that depends only on the ratio of the Fermi energy,...

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In part I, both the arrow diagram (AD) and expanded AD decompositions of the antisymmetrization operator A for an N-electron system with wave function represented by the product of mutually nonorthogonal group functions have been considered. Based on them, new diagrams for decompositions of...

- Basis set dependence of the locality of the kinetic energy operator. Hoch, Douglas E.; Harriman, John E. // Journal of Chemical Physics;4/15/1996, Vol. 104 Issue 15, p5898
We have analyzed the locality of matrices of the kinetic energy operator in even-tempered Gaussian and Slater-type (STO) bases, as well as in several three-dimensional, one-dimensional, and pseudo-one-dimensional basis sets of orthogonal polynomials and trigonometric functions. We find that the...

- Stretching of a Polymer Below the Î˜ Point. Rosa, A.; Marenduzzo, D.; Maritan, A.; Seno, F. // AIP Conference Proceedings;2003, Vol. 661 Issue 1, p270
The unfolding of a polymer below the Î¸ point when pulled by an external force is studied both in d = 2 on the lattice and in d = 3 off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple steps, corresponding to transitions between different...

- A comparison using a delta-function model of envelope function approximations for quantum wells. Cunningham, Thomas; Barker, R. C.; Chiu, L. C. // Journal of Applied Physics;6/1/1988, Vol. 63 Issue 11, p5393
Presents a study which compared versions of the effective-mass approximation to the exact atomic wave function in predicting the energies of the bound states in a single quantum well. Details on studies of bound states in thin heterojunction quantum wells; Properties of a delta-function...

- Calculation of shallow donor levels in GaN. Wang, H.; Chen, A.-B. // Journal of Applied Physics;6/1/2000, Vol. 87 Issue 11, p7859
Presents a study which calculated the energy levels of shallow substitutional donors in a type of nitride in an effective-mass theory. Importance of nitride semiconductors; Discussion.

- Temperature variation of energy gaps and deformation potentials in CuGa(SzSe1-z)2 semiconductor alloys. Quintero, Miguel; Rincón, Carlos; Grima, Pedro // Journal of Applied Physics;4/1/1989, Vol. 65 Issue 7, p2739
Presents a study which examined the temperature variation of energy gaps and deformation potentials in CuGa(S[subz]Se[sub1-z])[sub2] semiconductor alloys. Preparation of the samples; Results of the study; Information on deformation potentials.