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• W3101648623 abstract "Recently, Ferrulli-Laptev-Safronov (2016arXiv161205304F) obtained eigenvalue estimates for an operator associated to bilayer graphene in terms of $L^q$ norms of the (possibly non-selfadjoint) potential. They proved that for $1<q<4/3$ all non-embedded eigenvalues lie near the edges of the spectrum of the free operator. In this note we prove this for the larger range $1leq qleq 3/2$. The latter is optimal if embedded eigenvalues are also considered. We prove similar estimates for a modified bilayer operator with so-called trigonal warping term. Here, the range for $q$ is smaller since the Fermi surface has less curvature. The main tool are new uniform resolvent estimates that may be of independent interest and are collected in an appendix (in greater generality than needed)." @default.
• W3101648623 created "2020-11-23" @default.
• W3101648623 creator A5075423235 @default.
• W3101648623 date "2019-02-09" @default.
• W3101648623 modified "2023-10-06" @default.
• W3101648623 title "Eigenvalue Estimates for Bilayer Graphene" @default.
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• W3101648623 doi "https://doi.org/10.1007/s00023-019-00770-x" @default.
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