Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-04-19
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
28 pages, 12 figures, to be published in Journal of the Physical Society of Japan Vol. 79 (2010) No. 11
Scientific paper
The polarization function of electrons with the tilted Dirac cone found in organic conductors is studied using the tilted Weyl equation. The dynamical property is explored based on the analytical treatment of the particle-hole excitation. It is shown that the polarization function as the function of both the frequency and the momentum exhibits cusps and nonmonotonic structures. The polarization function depends not only on the magnitude but also the direction of the external momentum. These properties are characteristic of the tilted Dirac cone, and are contrast to the isotropic case of grapheme. Further, the results are applied to calculate the optical conductivity, the plasma frequency and the screening of Coulomb interaction, which are also strongly influenced by the tilted cone.
Kobayashi Akito
Nishine Tatsuro
Suzumura Yoshikazu
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