Interplay between parallel and diagonal electronic nematic phases in interacting systems

Abstract

An electronic nematic phase can be classified by a spontaneously broken discrete rotational symmetry of a host lattice. In a square lattice, there are two distinct nematic phases. The parallel nematic phase breaks $x$ and $y$ symmetry, while the diagonal nematic phase breaks the diagonal $(x+y)$ and anti-diagonal $(x-y)$ symmetry. We investigate the interplay between the parallel and diagonal nematic orders using mean field theory. We found that the nematic phases compete with each other, while they coexist in a finite window of parameter space. The quantum critical point between the diagonal nematic and isotropic phases exists, and its location in a phase diagram depends on the topology of the Fermi surface. We discuss the implication of our results in the context of neutron scattering and Raman spectroscopy measurements on La${}_{2-x}$Sr${}_x$CuO${}_4$.

8 pages, 10 figures

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Cited by in corpus (9)

• Fermi liquid instabilities in the spin channel
• Quantum Order-by-Disorder in Strongly Correlated Metals
• Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate
• Symmetry-breaking Fermi surface deformations from central interactions in two dimensions
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Effect of disorder on a Pomeranchuk instability
• A Direct Probe of Electronic Nematic Order; Symmetry Information in Scanning Tunneling Microscope Images
• Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
• Electronic spin-triplet nematic with a twist