Fig. 4: Quantized LL-crossing checkerboards as cryogenic magnetometric sensors.
From: Quantized Landau-level crossing checkerboards for cryogenic magnetometry

a, Schematic of a typical LA-TBLG sample, with the twist angle illustrated in a side inset. b, The proposed magnetometric sensor consisting an array of LA-TBLG devices (as shown in a), scalable from millimetres to centimetres, operating under a perpendicular magnetic field B. c, Schematic representation of magnetic field mapping using cryogenic magnetometric sensor arrays (as in b), with equipotential lines schematically drawn, indicating the potential capability of surface mapping of magnetic fields. d, The magnetic field B plotted against δD (in C m−2). The slope is then equal to the von Klitzing constant. This linear dependence of B–δD, once calibrated using experimental data at relatively low B, can then be used as cryogenic magnetometric sensors to measure unknown B at high B and low T, by reading the δD in the quantized LL-crossing checkerboard. Error bars in d are defined as the standard error of the mean of δD. The error bars for the 3–12 T are obtained from 9 δD of Sample-S37 at each field, and the error bars for 20 T and 30 T are estimated from the 14 and 6 δD of Sample-S24, respectively.