Spectrum of quasibound states in graphene in the vicinity of a supercritical Coulomb impurity | Izvestiya vuzov. Fizika. 2025. № 4. DOI: 10.17223/00213411/68/4/3

Spectrum of quasibound states in graphene in the vicinity of a supercritical Coulomb impurity

The paper studies the spectrum of quasibound states of Dirac quasiparticles in graphene in the supercritical regime. The definition of quasibound states through the derivative of the spectral function of the self-adjoint Dirac partial Hamiltonian allowed us to take into account the ambiguity of the Hamiltonian definition in the vicinity of a single Coulomb impurity. It is shown that quasibound states correspond to the maximum points of the derivative of the spectral function and their relationship with complex solutions of the spectral equation corresponding to a supercritical Coulomb impurity is obtained.

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Keywords

graphene, massless charge carriers, atomic collapse, quasi-bound states, Coulomb impurity, supercritical regime, self-adjoint extensions

Authors

Name	Organization	E-mail
Breev Alexander I.	Tomsk State University	breev@mail.tsu.ru
Chalyi Nikita A.	Tomsk State University	nchalyi@mail.tsu.ru

Всего: 2

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