## Interplay between parallel and diagonal electronic nematic phases in interacting systems

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 La2−xSrxCuO4.

Hyeonjin Doh,∗ Nir Friedman, and Hae-Young Kee†

Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada