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Negative static permittivity and violation of Kramers-Kronig relations in quasi-two-dimensional crystals

V. U. Nazarov
Phys. Rev. B 92, 161402(R) – Published 6 October 2015
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Abstract

We investigate the wave vector and frequency-dependent screening of the electric field in atomically thin (quasi-two-dimensional) crystals. For graphene and hexagonal boron nitride we find that, above a critical wave vector qc, the static permittivity ɛ(q>qc,ω=0) becomes negative and the Kramers-Kronig relations do not hold for ɛ(q>qc,ω). Thus, in quasi-two-dimensional crystals, we reveal the physical confirmation of a proposition put forward decades ago [D. A. Kirzhnits, Sov. Phys. Usp. 19, 530 (1976)], allowing for the breakdown of Kramers-Kronig relations and for negative static permittivity. In the vicinity of the critical wave vector, we find a giant growth of the permittivity. Our results, obtained in the ab initio calculations using both the random-phase approximation and the adiabatic time-dependent local-density approximation, and further confirmed with a simple slab model, allow us to argue that the above properties, being exceptional in the three-dimensional case, are common to quasi-two-dimensional systems.

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  • Received 18 June 2015

DOI:https://doi.org/10.1103/PhysRevB.92.161402

©2015 American Physical Society

Authors & Affiliations

V. U. Nazarov

  • Research Center for Applied Sciences, Academia Sinica, Taipei 11529, Taiwan

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Issue

Vol. 92, Iss. 16 — 15 October 2015

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