Transport in close-packed solids with stacking defects
Phys. Rev. B 114, 214204 – Published 22 October, 2026
DOI: https://doi.org/10.1103/8vvl-cs6t
Abstract
Lithium and sodium are the only solids that are known to lose crystalline order upon cooling. The seemingly disordered low-temperature phase shows signatures of various close-packed structures. The lack of order has been attributed to a hidden gauge symmetry that arises when electrons from one layer can hop to a neighboring layer but not further. It makes all close-packed structures nearly degenerate and leads to “structural frustration.” In this article, we examine whether this symmetry is reflected in transport signatures. Taking advantage of in-plane translational periodicity, we map the bulk Bloch Hamiltonian to an effective one-dimensional chain, with stacking disorder mapping to random phases of the hopping amplitudes. We derive an explicit analytic form for the Green's function of electrons and use it to calculate conductance of a bulk crystal. When hopping in the effective one-dimensional chain is restricted to nearest neighbors, conductance is completely insensitive to phase disorder, which indicates that all close-packed structures exhibit the same conductance. We show that the leading correction that can differentiate between close-packed structures arises from hopping to the next-nearest-neighbor layer, equivalent to second-neighbor hopping in the chain model. This process appears when a pair of next-neighbor layers are aligned in a certain way, e.g., at a hexagonal-close-packed-like stacking fault within a face-centered-cubic background. With this hopping included, conductance becomes sensitive to the precise arrangement of layers. When multiple stacking faults are present, the conductance decreases with increasing system size, as expected from Anderson localization. Our results are applicable to pressurized lithium and sodium, where conductance measurements can identify and characterize stacking faults.
