Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene. (English) Zbl 1484.35297
Summary: Combining the methods of J.-C. Cuenin [Ann. Henri Poincaré 20, No. 5, 1501–1516 (2019; Zbl 1412.35205)] and A. Borichev et al. [Bull. Lond. Math. Soc. 41, No. 1, 117–123 (2009; Zbl 1175.30007); Rev. Mat. Iberoam. 34, No. 3, 1153–1176 (2018; Zbl 1401.30004)], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effective Hamiltonian for bilayer graphene.
MSC:
| 35P15 | Estimates of eigenvalues in context of PDEs |
| 30C35 | General theory of conformal mappings |
| 47A75 | Eigenvalue problems for linear operators |
Keywords:
effective Hamiltonian of bilayer graphene; complex (non-selfadjoint) perturbation; discrete spectrum; Lieb-Thirring inequalities; Schatten-von Neumann classesReferences:
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