Geodesic
Formula for the sum of the effective masses of a~multidimensional lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 456-472

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A single-particle model for a multidimensional cubic lattice is developed on the basis of the theory of extensions. For this model, the Riemann surface of the quasimomentum is constructed, and an expression is obtained for the sum of the effective masses at the edges of the spectral bands in terms of the extension parameters. 
@article{TMF_1991_87_3_a8,
     author = {B. S. Pavlov and S. V. Frolov},
     title = {Formula for the sum of the effective masses of a~multidimensional lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {456--472},
     publisher = {mathdoc},
     volume = {87},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a8/}
}
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B. S. Pavlov; S. V. Frolov. Formula for the sum of the effective masses of a~multidimensional lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 456-472. http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a8/