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Nematic fluctuations and their wave vector in two-dimensional metals

2015/01/31 by Matthias Punk
Materials Science · Physics and Astronomy · #Charge density wave #Condensed matter physics #Cuprate #Density wave theory #Electron #Fermi liquid theory #Ising model #Liquid crystal #Organic and Molecular Conductors Research #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Square lattice #Superconductivity #Wave vector #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.91.115131

published as Phys. Rev. B 91, 115131 (2015) · revised version, updated references

openalex publication_date 2015/03/17 · arxiv created 2015/03/18 · arxiv updated 2015/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We revisit the problem of electrons on a square lattice below half-filling close to an Ising-nematic quantum critical point. For Fermi surfaces with sufficiently strong antinodal nesting, the static nematic susceptibility is maximal at the antinodal nesting wave vector within a simple random phase approximation calculation. We present a detailed analysis of the nematic susceptibility within Eliashberg theory and show that the strong interaction between fermions in the antinodal regions shifts the maximum of the nematic susceptibility to slightly larger wave vectors. The corresponding order is akin to the incommensurate charge-density wave with d-wave form factor found recently in some underdoped cuprate materials. At sufficiently high temperatures around T/t\ensuremath∼0.1, nematic fluctuations are strongest at zero wave vector.

Citations