Incommensurate nematic fluctuations in two-dimensional metals

Tobias Holder and Walter Metzner
Phys. Rev. B 85, 165130 – Published 20 April 2012

Abstract

To assess the strength of nematic fluctuations with a finite wave vector in a two-dimensional metal, we compute the static d-wave polarization function for tight-binding electrons on a square lattice. At Van Hove filling and zero temperature the function diverges logarithmically at q=0. Away from Van Hove filling the ground-state polarization function exhibits finite peaks at finite wave vectors. A nematic instability driven by a sufficiently strong attraction in the d-wave charge channel thus leads naturally to a spatially modulated nematic state, with a modulation vector that increases in length with the distance from Van Hove filling. Above Van Hove filling, for a Fermi surface crossing the magnetic Brillouin zone boundary, the modulation vector connects antiferromagnetic hot spots with collinear Fermi velocities.

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  • Received 1 February 2012

DOI:https://doi.org/10.1103/PhysRevB.85.165130

©2012 American Physical Society

Authors & Affiliations

Tobias Holder1,2 and Walter Metzner2

  • 1Universität Stuttgart, Fachbereich Physik, D-70550 Stuttgart, Germany
  • 2Max-Planck-Institute for Solid State Research, D-70569 Stuttgart, Germany

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Issue

Vol. 85, Iss. 16 — 15 April 2012

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