“…The magnetically ordered pyrochlores, such as A=Eu, Nd are seen, in clean samples, to be insulating at low temperatures Tafti et al, 2012;Tian et al, 2016;Ueda et al, 2012Ueda et al, , 2015b. The metallic phase above the magnetic ordering temperature is expected have quadratic doubly degenerate bands that touch at the Γ point (Kondo et al, 2015;Nakayama et al, 2016;Witczak-Krempa and Kim, 2012), a state we term a Luttinger semimetal (Abrikosov and Beneslavskii, 1971a;Moon et al, 2013). In A=Pr, which remains a nonmagnetic metal down to low temperatures (Machida et al, 2010;Nakatsuji et al, 2006), a quadratic band touching has been found recent experiments (Kondo et al, 2015) (See Sec.…”