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Interplay between parallel and diagonal electronic nematic phases in interacting systems

Hyeonjin Doh·Nir Friedman·Hae-Young Kee
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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$_4$.

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Hyeonjin Doh, Nir Friedman, Hae-Young Kee. 2006-01-13. Interplay between parallel and diagonal electronic nematic phases in interacting systems. https://doi.org/10.1103/physrevb.73.125117

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