Functional approach to the theory of twodimensional quantum Fermi systems in an external periodic field
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 29-43

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The behavior of an adsorbed layer of Fermi particles in a weak external field with symmetry of the centered quadratic lattice is investigated. Instability of the weakly inhomogeneous state of the system with respect to small fluctuations in the vicinity $a^\ast=2K_F$ is established; here $a^\ast$ is the magnitude of the vectors of the neighbors closest to the point in the inverse lattice; $K_F$ is the Fermi momentum.
@article{ZNSL_1988_169_a3,
     author = {V. I. Vozyakov},
     title = {Functional approach to the theory of twodimensional quantum {Fermi} systems in an external periodic field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {29--43},
     publisher = {mathdoc},
     volume = {169},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a3/}
}
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V. I. Vozyakov. Functional approach to the theory of twodimensional quantum Fermi systems in an external periodic field. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 29-43. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a3/