Transport near the Ising-nematic quantum critical point of metals in two dimensions

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Transport near the Ising-nematic quantum critical point of metals in two dimensions

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Title: Transport near the Ising-nematic quantum critical point of metals in two dimensions
Author: Hartnoll, Sean A.; Mahajan, Raghu; Punk, Matthias; Sachdev, Subir

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Citation: Hartnoll, Sean A., Raghu Mahajan, Matthias Punk, and Subir Sachdev. 2014. “Transport Near the Ising-Nematic Quantum Critical Point of Metals in Two Dimensions.” Phys. Rev. B 89 (15) (April). doi:10.1103/physrevb.89.155130.
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Abstract: We consider two-dimensional metals near a Pomeranchuk instability which breaks 90∘ lattice rotation symmetry. Such metals realize strongly coupled non-Fermi liquids with critical fluctuations of an Ising-nematic order. At low temperatures, impurity scattering provides the dominant source of momentum relaxation and, hence, a nonzero electrical resistivity. We use the memory matrix method to compute the resistivity of this non-Fermi liquid to second order in the impurity potential, without assuming the existence of quasiparticles. Impurity scattering in the d-wave channel acts as a random “field” on the Ising-nematic order. We find contributions to the resistivity with a nearly linear temperature dependence, along with more singular terms; the most singular is the random-field contribution which diverges in the limit of zero temperature.
Published Version: doi:10.1103/PhysRevB.89.155130
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:16319716
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