Gate-tunable Lifshitz transition of Fermi arcs and its nonlocal transport signatures

Abstract

One hallmark of the Weyl semimetal is the emergence of Fermi arcs (FAs) in the surface Brillouin zone that connect the projected Weyl nodes of opposite chirality. The unclosed FAs can give rise to various exotic effects that have attracted tremendous research interest. The configurations of the FAs are usually thought to be determined fully by the band topology of the bulk states, which seems impossible to manipulate. Here, we show that the FAs can be simply modified by a surface gate voltage. Because the penetration length of the surface states depends on the in-plane momentum, a surface gate voltage induces an effective energy dispersion. As a result, a continuous deformation of the surface band can be implemented by tuning the surface gate voltage. In particular, as the saddle point of the surface band meets the Fermi energy, the topological Lifshitz transition takes place for the FAs, during which the Weyl nodes switch their partners connected by the FAs. Accordingly, the magnetic Weyl orbits composed of the FAs on opposite surfaces and chiral Landau bands inside the bulk change its configurations. We show that such an effect can be probed by the nonlocal transport measurements in a magnetic field, in which the switch on and off of the nonlocal conductance by the surface gate voltage signals the Lifshitz transition. Our work opens a new route for manipulating the FAs by surface gates and exploring novel transport phenomena associated with the topological Lifshitz transition.