Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”

We provide arguments relating to those recently made in a comment by Chakravarty and Wang, who question the validity of our proposed charge-density wave Fermi surface reconstruction model and its relation to sign changes in the Hall effect. First, we show that the form of rounding of the vertices (i.e. sharp corners) of the reconstructed electron pocket, as used in our model calculations of the Hall coefficient, is consistent with Bragg reflection from the periodic potential of a charge-density wave, rather than being arbitrarily chosen. Second, we provide further justifications for why an oscillatory transport scattering time provides a useful means for modeling Shubnikov–de Haas oscillations in the Hall effect, in the situation where a Fermi surface pocket departs from the ideal circular form. Third, we discuss recent experimental evidence gathered from two different families of underdoped cuprates supporting the existence of a single electron pocket produced by biaxial charge-density wave order as a universal phenomena.

Figure 1

(a) Schematic diamond-shaped electron pocket from Ref. [1], with blue arrows indicating the direction of cyclotron motion and ${\mathbf{v}}_1$ and ${\mathbf{v}}_2$ indicating the Fermi velocity direction. (b) Schematic showing how the electron pocket is produced by connecting arcs of a larger hole Fermi surface, with $\alpha$ being the angle subtended by the arc and the dotted lines indicating how they are connected.

Figure 2

(a) Solid lines showing the reconstructed Fermi surface in the vicinity of a vertex produced by Bragg reflection. Dotted lines indicate the Fermi surface in the absence of hybridization. ${\mathbf{v}}_1$ and ${\mathbf{v}}_2$ are velocities before and after a quasiparticle traverses the vertex. (b) Schematic of the Bragg reflection in real space assumed to be responsible for the sharp corner.