Fig. 2: Moiré patterns created by two conductive layers.

a, b present the conductivity distributions of the periodic moiré patterns respectively at the Pythagorean angles of 36.87° and 22.62°. The red dashed box presents a primitive cell in the moiré patterns. Their right-insets indicate the typical conductive fields of the unit cell, including (i) the heat flux and temperature field, (ii) the conductivity distribution, and (iii) the conductive vorticity. c showcases the conductivity distributions of the aperiodic moiré patterns at the non-Pythagorean angle of 30°. The blue dashed box presents a primitive cell in the moiré patterns approximated by the periodic lattice at the nearest Pythagorean angle of 30.14°. d The typical conductive fields of the unit cell at 30° same to the counterparts in (a, b, e) The anisotropic degree at different twisted angles. f presents the Fourier number under the changing twisted angles (\(\varphi\)) and the strength ratios of conductivity between neighboring sites (\({p}_{c}\)). The black dashed lines denote some representative Pythagorean angles.