Fermi Surface of Incommensurate Mercury-Chain Compounds

Abstract

Measurement of the de Haas-van Alphen effect at 1.1 K in the linear-chain mercury compound ${\mathrm{Hg}}_{3\ensuremath{-}\ensuremath{\delta}}\mathrm{As}{\mathrm{F}}_{6}$ shows that the Fermi surface consists of a set of straight or nearly straight cylinders with axes along the $\stackrel{\ensuremath{\rightarrow}}{\mathrm{c}}$ direction. The cylinders are formed from one-dimensional Fermi-surface sheets by the interaction of mutually perpendicular mercury chains and by translation by superlattice vectors resulting from the periodicity of the incommensurate mercury chains.