{ "id": "2009.14594", "version": "v1", "published": "2020-09-30T12:15:49.000Z", "updated": "2020-09-30T12:15:49.000Z", "title": "Anomalous conductivity of two-dimensional Dirac electrons in organic conductor under pressures", "authors": [ "Yoshikazu Suzumura", "Masao Ogata" ], "comment": "9 pages, 16 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "Dirac electrons in organic conductor $\\alpha$-(BEDT-TTF)$_2$I$_3$ under pressures, which exhibit anomalous conductivity being nearly constant at high temperatures, have been examined using a two-dimensional tight-binding model (TB) model with both the impurity and electron-phonon (e-p) scatterings. A crucial role of scattering by acoustic phonon is shown based on the previous study for a model with simple Dirac cone [Phys. Rev. B {\\bf 98},161205 (2018)]. In addition to diagonal conductivity $\\sigma_{x}=\\sigma_{xx}$ and $\\sigma_{y}=\\sigma_{yy}$, off-diagonal conductivity $\\sigma_{xy}$ exists due to a tilted Dirac cone, where $y$ ($x$) corresponds to a direction parallel (perpendicular) to a stacking axis of molecules. This $\\sigma_{xy}$ results in a rotation of axis of the principal value $\\sigma_{\\pm}$. Since the conductivity at high temperatures is suppressed by the e-p scattering on the Dirac cone, the increase of temperature results in a broad maximum for $\\sigma_y$ and a nearly constant $\\sigma_x$ for a moderate choice of the e-p coupling constant. Further a correlation effect is examined employing a mean-field for the on-site and nearest-neighbor-site interactions. Anisotropic behavior of $\\sigma_{\\nu}$, ($\\nu$ = $x$ and $y$) is discussed by comparing with experiments of organic conductors, which present nearly constant resistivity at high temperatures.", "revisions": [ { "version": "v1", "updated": "2020-09-30T12:15:49.000Z" } ], "analyses": { "keywords": [ "organic conductor", "two-dimensional dirac electrons", "anomalous conductivity", "high temperatures", "simple dirac cone" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }