Geodesic
Resolvent estimates and the spectrum of the Dirac operator with periodical potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 3-22

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Some estimates of the norm of resolvent of Dirac operator on $n$-dimensional tores ($n\ge 2$) for complex values of quasimomentum are given. The absolutely continuity of the spectrum of periodical Dirac operator with potential $V\in L_{\mathrm {\mathrm {loc}}}^\beta (\mathbb R^3)$, $\beta >3$, is proved. 
@article{TMF_1995_103_1_a0,
     author = {L. I. Danilov},
     title = {Resolvent estimates and the spectrum of the {Dirac} operator with periodical potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--22},
     publisher = {mathdoc},
     volume = {103},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a0/}
}
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L. I. Danilov. Resolvent estimates and the spectrum of the Dirac operator with periodical potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a0/