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Journal Article

Incommensurate nematic fluctuations in two-dimensional metals


Metzner,  W.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Holder, T., & Metzner, W. (2012). Incommensurate nematic fluctuations in two-dimensional metals. Physical Review B, 85(16): 165130.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C327-A
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.