Resistivity Exponents in 3D Dirac Semimetals From Electron-Electron Interaction.

Phys Rev Lett

Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, 97074 Würzburg, Germany.

Published: May 2021

AI Article Synopsis

  • The study investigates how electron-electron interactions affect the resistivity of three-dimensional semimetals with linear dispersion, leading to a unique temperature dependence.
  • Unlike conventional metals, which exhibit a quadratic temperature dependence in resistivity, these semimetals show a T^{6} behavior due to their interactions.
  • The findings also clarify the temperature dependence observed in transport experiments on topological semimetals, improving the understanding of their properties during various interaction strengths, including the Mott transition.

Article Abstract

We study the resistivity of three-dimensional semimetals with linear dispersion in the presence of on-site electron-electron interaction. The well-known quadratic temperature dependence of the resistivity of conventional metals is turned into an unusual T^{6} behavior. An analogous change affects the thermal transport, preserving the linearity in T of the ratio between thermal and electrical conductivities. These results hold from weak coupling up to the nonperturbative region of the Mott transition. Our findings yield a natural explanation for the hitherto not understood large exponents characterizing the temperature dependence of transport experiments on various topological semimetals.

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http://dx.doi.org/10.1103/PhysRevLett.126.206601DOI Listing

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