Geodesic
On absence of eigenvalues in the spectra of two-dimensional periodic Dirac and Schr\"odinger operators
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 29 (2004) no. 1, pp. 49-84

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We prove the absence of eigenvalues in the spectrum of two-dimensional periodic Dirac operator with martix coefficients of the class $L^{\infty}$ and strongly subordinate matrix potential. We also obtain conditions for the absence of eigenvalues in the spectrum of two-dimensional periodic Schrödinger operator with variable metric. 
@article{IIMI_2004_29_1_a2,
     author = {L. I. Danilov},
     title = {On absence of eigenvalues in the spectra of two-dimensional periodic {Dirac} and {Schr\"odinger} operators},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {49--84},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2004_29_1_a2/}
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L. I. Danilov. On absence of eigenvalues in the spectra of two-dimensional periodic Dirac and Schr\"odinger operators. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 29 (2004) no. 1, pp. 49-84. http://geodesic.mathdoc.fr/item/IIMI_2004_29_1_a2/