Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene

TL;DR

This paper establishes Lieb-Thirring inequalities for a non-selfadjoint perturbation of an effective Hamiltonian in bilayer graphene, advancing mathematical understanding of spectral properties in this material.

Contribution

It introduces new Lieb-Thirring inequalities tailored for the effective Hamiltonian of bilayer graphene with non-selfadjoint perturbations.

Findings

Derived Lieb-Thirring inequalities for bilayer graphene Hamiltonian.

Extended methods of Cuenin and Borichev-Golinskii-Kupin to this context.

Provides bounds on the spectrum of perturbed Hamiltonians.

Abstract

Combining the methods of Cuenin [2019] and Borichev-Golinskii-Kupin [2009, 2018], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effective Hamiltonian for bilayer graphene.