Intraband memory function and memory-function conductivity formula in doped graphene

Scientific paper - Original scientific paper

• Author: Ivan Kupčić; MBZ: 172534
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

The generalized self-consistent field method is used to describe intraband relaxation processes in a general multiband electronic system with presumably weak residual electron-electron interactions. The resulting memory-function conductivity formula is shown to have the same structure as the result of a more accurate approach based on the quantum kinetic equation. The results are applied to heavily doped and lightly doped graphene. It is shown that the scattering of conduction electron by phonons leads to the redistribution of the intraband conductivity spectral weight over a wide frequency range, however, in a way consistent with the partial transverse conductivity sum rule. The present form of the intraband memory function is found to describe correctly the scattering by quantum fluctuations of the lattice, at variance with the semiclassical Boltzmann transport equations, where this scattering channel is absent. This is shown to be of fundamental importance in quantitative understanding of the reflectivity data measured in lightly doped graphene as well as in different low-dimensional strongly correlated electronic systems, such as the cuprate superconductors.

• Keywords (english): memory functions; optical conductivity; quantum kinetic equations; self-consistent RPA equations; doped graphene
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review B
• Numbering: vol. 95, no. 3, 035403
• p-ISSN: 2469-9950
• e-ISSN: 2469-9969
• DOI: https://doi.org/10.1103/PhysRevB.95.035403
• URN:NBN: urn:nbn:hr:217:181871
• Publication: 2017
• Project: Number: 119-1191458-0512; Title (croatian): Niskodimenzionalni jako korelirani vodljivi sustavi; Leader: Slaven Barišić; Jurisdiction: Croatia; Funding stream: ZP
• Document URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.035403
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2017 American Physical Society. Received 21 October 2016. Published 4 January 2017.
• Created on: 2020-02-28 18:29:07