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Negative magnetoresistance (NMR) induced by the Adler-Bell-Jackiw anomaly isregarded as the most prominent quantum signature of Weyl semimetals whenelectrical field $E$ is collinear with the external magnetic field $B$. In thisarticle, we report universal NMR in nonmagnetic, centrosymmetric transitionmetal dipnictides MPn$_{2}$ (M=Nb and Ta; Pn=As and Sb), in which the existenceof Weyl fermions can be explicitly excluded. Using temperature-dependentmagnetoresistance, Hall and thermoelectric coefficients of Nernst and Seebeckeffects, we determine that the emergence of the NMR phenomena in MPn$_{2}$ iscoincident with a Lifshitz transition, corresponding to the formation of uniqueelectron-hole-electron ($e$-$h$-$e$) pockets along the $I-L-I'$ direction.First-principles calculations reveal that, along the $I-L-I'$ line, the$d_{xy}$ and $d_{x^{2}-y^{2}}$ orbitals of the transition metal form tiltednodal rings of band crossing well below the Fermi level. Strong spin-orbitalcoupling gaps all the crossing points and creates the characteristic$e$-$h$-$e$ structure, making MPn$_{2}$ a topological semimetal with$\mathbb{Z}_2$ indices of [0;(111)]. By excluding the weak localizationcontribution of the bulk states, we conclude that the universal NMR inMPn$_{2}$ may have an exotic origin in topological surface states, whichappears in pairs with opposite spin-momentum locking on nontrivial surfaces.

Negative Magnetoresistance in Topological Semimetals of Transition-Metal Dipnictides with Nontrivial Z2 Indices