Hall effect in a single two-dimensional quasicrystal: ${\mathrm{Al}}_{62}$${\mathrm{Si}}_3$${\mathrm{Cu}}_{20}$${\mathrm{Co}}_{15}$

Measurements made on single ${\mathrm{Al}}_{62}$ ${\mathrm{Si}}_3$ ${\mathrm{Cu}}_{20}$ ${\mathrm{Co}}_{15}$ two-dimensional decagonal quasicrystals show that when current flows along the periodic direction, the Hall coefficient is positive and temperature independent, while the Hall resistivity is negative and increases with temperature when current flows in the quasicrystalline plane. This is apparently the first observation of the anisotropic Hall effects in quasicrystals.