2005/12/31 by Seiichiro Onari, Hiroshi Kontani, Yukio Tanaka · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Curse of dimensionality #Electrical resistivity and conductivity #Fermi liquid theory #Hall effect #Mathematics #Nernst effect #Nernst equation #Organic and Molecular Conductors Research #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum mechanics #Quantum phase transition #Rare-earth and actinide compounds #Superconductivity #Vertex (graph theory) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.224434
published as Phys. Rev. B 73, 224434 (2006) · 11 pages, 18 figures. Accepted for publication in Phys. Rev. B
arxiv created 2006/05/25 · openalex publication_date 2006/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is known that various transport coefficients strongly deviate from conventional Fermi-liquid behaviors in many electron systems which are close to antiferromagnetic (AF) quantum critical points (QCP). For example, Hall coefficients and Nernst coefficients in three-dimensional heavy fermion CeCoIn5 and CeCu_6\ensuremath-xAux increase strikingly at low temperatures, whose overall behaviors are similar to those in high-Tc cuprates. These temperature dependencies are too strong to explain in terms of the relaxation time approximation. To elucidate the origin of these anomalous transport phenomena in three-dimensional systems, we study the current vertex corrections (CVC) based on the fluctuation exchange approximation, and find out the decisive role of the CVC. The main finding of the present paper is that the Hall coefficient and the Nernst coefficient strongly increase thanks to the CVC in the vicinity of the AF QCP, irrespective of dimensionality. We also study the relaxation time of quasiparticles, and find that ``hot points'' and ``cold lines'' are formed in general three-dimensional systems due to strong AF fluctuations.