Fig. 2: Carrier density and compressibility maps.
From: Thermodynamic behavior of correlated electron-hole fluids in van der Waals heterostructures
a, b False color map of experimentally determined electron (a) and hole (b) densities. Contour lines are overlayed as gray dash-dotted curves. The black dashed line is along \({n}_{{{{{{\rm{e}}}}}}}\approx {n}_{{{{{{\rm{h}}}}}}}\). c Phase diagram of the e-h system determined experimentally. Black: no carrier present in the system. Green: WSe2 is hole doped. Red: MoSe2 is electron doped. Yellow: both electrons and holes are present. Four insets schematically show the band alignment in each phase. d Partial derivative of the exciton density \({n}_{{{{{{\rm{x}}}}}}}=\min ({n}_{{{{{{\rm{e}}}}}}},\ {n}_{{{{{{\rm{h}}}}}}})\) with respect to bias voltage \({V}_{{{{{{\rm{B}}}}}}}\), corresponding to the interlayer exciton compressibility. e Partial derivative of net charge density \({n}_{{{{{{\rm{e}}}}}}}-{n}_{{{{{{\rm{h}}}}}}}\) with respect to gate voltage \({V}_{{{{{{\rm{G}}}}}}}\), corresponding to the charge compressibility. f Bias dependence of exciton density along \({n}_{{{{{{\rm{e}}}}}}}\approx {n}_{{{{{{\rm{h}}}}}}}\) line. The blue curve is a power function fit to the experimental data (scatters). Yellow dashed line, density determined from the geometric capacitance, showing a linear increase with the bias voltage. Inset: same data but plotted in log-log scale, showing a power-law scaling. Source data are provided as a source data file.
