Analytical Asymmetric Single-Electron Transistor (SET) Model

Output Examples

Fig. 1.Id-Vgs characteristics of asymmetric SETs calculated by the model (lines) and the reference simulator (symbols) for Rd / Rs of 1 M/ 19 M (open diamonds) and 19 M/ 1 M (open circles). Other parameters are Cd = Cs = Cg = 1 aF, Cb=0, Vds = 26.7 mV (), and T = 18.6 K ().


Fig. 2.Coulomb staircase (Id-Vds characteristics) of an asymmetric SET calculated by the model (lines) and the reference simulator (symbols) for Vgs=0 (open diamonds) and Vgs=e/2Cg (80.1 mV) (open circles). Other parameters are Rd = 1 M, Rs = 19 M, Cd = 0.1 aF, Cs = 1.9 aF, Cg = 1 aF, Cb = 0, and T=18.6 K (). Sweep paths (dashed lines pointed by open arrows) in the Vd-Vgs space with Coulomb blockade (CB) regions and single-electron tunneling (SET) regions are shown in the inset. Note that both capacitance and resistance of the source/drain tunnel junction are made asymmetric to attain Coulomb staircase characteristics. In other examples of asymmetric SET characteristics, only the resistance is made asymmetric.


Fig. 3.Id-Vgs characteristics of asymmetric SETs calculated according to the model (lines) and the reference simulator (symbols) for various drain voltages. Values in square brackets are normalized drain voltages . Other parameters are Rd = 1 M, Rs = 19 M, Cd = Cs = Cg = 1 aF, Cb=0, and T = 18.6 K ().


Fig. 4.Id-Vgs characteristics of asymmetric SETs calculated by the model (lines) and the reference simulator (symbols) for various temperatures. Values in square brackets are normalized temperature . Other parameters are Rd = 1 M, Rs = 19 M, Cd = Cs = Cg = 1 aF, Cb=0, and Vds = 26.7 mV ().


Fig. 5. Averaged charge in the Coulomb island Qisl as a function of gate voltage Vgs calculated by the model (lines) and the reference simulator (symbols) for Rd / Rs of 1 M/ 19 M (open diamonds), 19 M/ 1 M (open circles), and 10 M/ 10 M (open squares). Other parameters are the same as those for Fig. 1 [Cd = Cs = Cg = 1 aF, Cb=0, Vds = 26.7 mV (), and T = 18.6 K ()].