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New materials such as nodal-line semimetals offer a unique setting for noveltransport phenomena. Here, we calculate the quantum correction to conductivityin a disordered nodal-line semimetal. The torus-shaped Fermi surface andencircled $\pi$ Berry flux carried by the nodal loop result in a fascinatinginterplay between the effective dimensionality of electron diffusion and bandtopology, which depends on the scattering range of the impurity potentialrelative to the size of the nodal loop. For a short-range impurity potential,backscattering is dominated by the interference paths that do not encircle thenodal loop, yielding a 3D weak localization effect. In contrast, for along-range impurity potential, the electrons effectively diffuse in various 2Dplanes and the backscattering is dominated by the interference paths thatencircle the nodal loop. The latter, leads to weak antilocalization with a 2Dscaling law. Our results are consistent with symmetry consideration, where thetwo regimes correspond to the orthogonal and symplectic classes, respectively.Furthermore, we present weak-field magnetoconductivity calculations at lowtemperatures for realistic experimental parameters, and predict that clearscaling signatures $\propto\sqrt{B}$ and $\propto -\ln B$, respectively. Thecrossover between the 3D weak localization and 2D weak antilocalization can beprobed by tuning the Fermi energy, giving a unique transport signature of thenodal-line semimetal.

Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects