On the stability and spectral properties of the two-dimensional Brown–Ravenhall operator with a short-range potential

Alves, Magno B.; Cima, O.M. Del; Franco, Daniel H. T.

doi:10.1016/j.aop.2022.169201

Annals of Physics

2023

DOI: 10.1016/j.aop.2022.169201

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On the stability and spectral properties of the two-dimensional Brown–Ravenhall operator with a short-range potential

Magno B. Alves

O.M. Del Cima

Daniel H. T. Franco³

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2023

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On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene

Alves,

Del Cima,

Franco

et al. 2023

Journal of Mathematical Physics

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Two-dimensional Weyl–Dirac relativistic fermions have attracted tremendous interest in condensed matter as they mimic relativistic high-energy physics. This paper concerns two-dimensional Weyl–Dirac operators in the presence of magnetic fields, in addition to a short-range scalar electric potential of the Bessel–Macdonald-type, restricted to its positive spectral subspace. This operator emerges from the action of a pristine graphene-like QED3 model recently proposed by De Lima, Del Cima, and Miranda, “On the electron–polaron–electron–polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics,” Eur. Phys. J. B93, 187 (2020). A magnetic Lieb–Thirring-type inequality à la Shen is derived for the sum of the negative eigenvalues of the magnetic Weyl–Dirac operators restricted to their positive spectral subspace. An application to the stability of bipolarons in graphene in the presence of magnetic fields is given.

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On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene

Alves,

Del Cima,

Franco

et al. 2023

Journal of Mathematical Physics

View full text Add to dashboard Cite

show abstract

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On the stability and spectral properties of the two-dimensional Brown–Ravenhall operator with a short-range potential

Cited by 1 publication

References 40 publications

On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene

On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene

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