Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 316-319 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that in one-dimensional incommensurable models the singularity of the density of states at the fluctuation boundary of the spectrum is, as a rule, a power singularity, in contrast to the exponential singularity characteristic of the disordered analogs of these models.
@article{TMF_1985_62_2_a13,
     author = {S. A. Gredeskul and L. A. Pastur},
     title = {Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {316--319},
     year = {1985},
     volume = {62},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a13/}
}
TY  - JOUR
AU  - S. A. Gredeskul
AU  - L. A. Pastur
TI  - Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 316
EP  - 319
VL  - 62
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a13/
LA  - ru
ID  - TMF_1985_62_2_a13
ER  - 
%0 Journal Article
%A S. A. Gredeskul
%A L. A. Pastur
%T Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 316-319
%V 62
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a13/
%G ru
%F TMF_1985_62_2_a13
S. A. Gredeskul; L. A. Pastur. Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 316-319. http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a13/

[1] Hofshtadter D. R., Phys. Rev., B14 (1976), 2239 | DOI

[2] Azbel M. Ya., Phys. Rev. Lett., 43 (1979), 1954 | DOI

[3] Sokoloff J. B., Phys. Rev., B22 (1980), 5823 | DOI

[4] Bellisard J., Mathematical problems in theoretical physics, Lecture Notes on Physics, 153, Springer-Verlag, Berlin–Heidelberg–N.-Y., 356–363 | DOI

[5] Pastur L. A., Figotin A. L., Pisma v ZhETF, 37 (1983), 575–577

[6] Gredeskul S. A., Pastur L. A., TMF, 23:1 (1975), 132–139

[7] Lifshits I. M., Gredeskul S. A., Pastur L. A., Vvedenie v teoriyu neuporyadochennykh sistem, Nauka, M., 1982, 360 pp. | MR

[8] Eggarter T. P., Phys. Rev., B5 (1972), 3863 | DOI

[9] Aubry S., Le Daeron P. Y., Physica, D7 (1983), 240 | MR | Zbl

[10] Kurant R., Gilbert D., Metody matematicheskoi fiziki, Per. s nem., Izd. 2-e, ispr., t. I, eds. Z. G. Libin, Yu. A. Rabinovich, Gostekhizdat, M., 1951 | MR

[11] Gredeskul S. A., Pastur L. A., ZhETF, 75 (1978), 1444