Fig. 1: Demonstration of the fitting procedure.
From: How to measure the entropy of a mesoscopic system via thermoelectric transport
a, b Transport coefficients through a four-fold degenerate quantum dot, calculated via Eq. (1): a Conductance, b TR (solid blue line) with comparison to the derived expression [Eq. (4)] (red circles). The degeneracies for \(n=0,1,2,3,4\)-electron many-body states are \({g}^{(N)}=1,4,6,4,1\), respectively (Each peak was separately fitted). c Entropy change between two valleys with first valley degeneracy \({g}^{(N)}=1\), as a function of second valley degeneracy \({g}^{(N+1)}\), calculated using the proposed procedure (red circles) compared to the exact result \(\mathrm{log}{g}^{(N+1)}\)(solid blue line). d–f Transport through a \(U\to \infty\) QD with 2 single-particle non-degenerate interacting levels, separated by \(\Delta \epsilon =T\), calculated via Eq. (1): d Conductance, e TR (solid blue line) with comparison to the derived expression [Eq. (4)] (red circles). f Entropy change between the two valleys as a function of temperature. Direct thermodynamic calculation of entropy change (solid blue line) is compared to our procedure (\(d2T\times A(T)/dT\)) (red circles). \(A(T)\) is shown as yellow crosses.
