2013/01/31 by Yong-Soo Jho, Ki-Seok Kim, Ki‐Seok Kim · 39 citations
Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Anomaly (physics) #Condensed matter physics #Coupling (piping) #Coupling constant #Electrical resistivity and conductivity #Geometry #Graphene research and applications #Hall effect #Inverse #Logarithm #Materials science #Mathematical analysis #Mathematics #Momentum (technical analysis) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Renormalization group #Scattering #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.87.205133
published in Physical Review B 87(20) (American Physical Society)
arxiv created 2013/04/07 · openalex publication_date 2013/05/24 · arxiv updated 2013/07/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We predict that long-range interactions give rise to anisotropy in the electrical resistivity of Weyl metals at low temperatures, where the electrical resistivity becomes much reduced when electric fields are applied to the direction of the momentum vector to connect two paired Weyl points. Performing the renormalization group analysis, we find that the distance between two Weyl points becomes enhanced logarithmically at low temperatures although the coupling constant of such interactions vanishes inverse-logarithmically. Considering the Adler-Bell-Jackiw anomaly, scattering between these two Weyl points becomes suppressed to increase electrical conductivity in the ``longitudinal'' direction, counter intuitive in the respect that interactions are expected to reduce metallicity. We also propose that the anomalous contribution in the Hall effect shows the logarithmic enhancement as a function of temperature, originating from the fact that the anomalous Hall coefficient turns out to be proportional to the distance between two paired Weyl points. Correlations with topological constraints allow unexpected and exotic transport properties.