The $\mathbf{T}=0$ $2{\mathbf{k}}_{\mathbf{F}}$ density wave phase transition in a two dimensional Fermi liquid is first order

B. L. Altshuler, L. B. Ioffe, A. J. Millis

We study $T=0$ spin density wave transitions in two dimensional Fermi liquids in which the ordering wavevector $\mathbf{Q}$ is such that the tangents to the Fermi line at the points con…