Electrical resistivity near Pomeranchuk instability in two dimensions

Abstract

We analyze the DC charge transport in the quantum critical regime near a d-wave Pomeranchuk instability in two dimensions. The transport decay rate is linear in temperature everywhere on the Fermi surface except at cold spots on the Brillouin zone diagonal. For pure systems, this leads to a DC resistivity proportional to T^{3/2} in the low-temperature limit. In the presence of impurities the residual impurity resistance at T=0 is approached linearly at low temperatures.

9 pages, no figures

References in corpus (6)

• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Formation of Electronic Nematic Phase in Interacting Systems
• Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model

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