Level anticrossing effect in single-level or multilevel double quantum dots: Electrical conductance, zero-frequency charge susceptibility, and Seebeck coefficient

Single-electron emission from degenerate quantum levels

“…Refs. [35,36,37,38,39,40,41,42]. This is similar to the effect of a delta potentiallike impurity on the spectrum of electrons in an isolated ring.…”

Dynamical charge susceptibility in non-equilibrium double quantum dots

“…where Z(ω) is the impedance defined as Z(ω) = dV gate (ω)/dI(ω). Given that the dynamical charge susceptibility is X c (ω) = dN (ω)/d(eV gate (ω)) 4 and that the electrical current is defined as In order to compare with experiments performed in spin qubits, one needs to take triplet states into account in addition to the singlet states. To do this, one includes an additional term to the expression for the dynamical charge susceptibility given in (S54) for a DQD in series at T = 0 and when ε 1 = ε 2 , corresponding to the triplet state contribution, as follows…”

“…Moreover the DCS has been studied in single quantum dots [15][16][17] . There certainly are some theoretical works on charge susceptibility in DQD but there are mainly restricted to the study of the SCS [18][19][20] or to calculations performed at the lowest order in dot-lead coupling amplitude 21 . Electrical transport experiments in DQD systems are however restricted neither to the weak dotlead coupling regime nor to the measurement at low frequencies.…”

“…They have a finite relaxation rate related to the imaginary parts of λ ± , resulting from energy dissipation through connections to leads 32 . For a DQD the charge susceptibility is X c (t, t ) = i,j=1,2 α i α j X ij (t, t ), where α 1,2 are the lever-arm coefficients measuring the asymmetry of the capacitive couplings of each of the two dots to the gate voltage 20 . In the linear response theory it is related to a correlation function through a Kubo-type formula…”

Theory for Thermoelectric Effect Control: Transformation Nonlinear Thermoelectricity

“…This approximation may not only deviate from practical situations to some extent but also limit the advancement of manipulating multiple fields. Referring to thermoelectric(TE) effects [31][32][33], temperature-dependent transport processes have been investigated due to the electron-phonon coupling mechanism [34][35][36] or strong interaction in quantum-dot systems [37,38]. At the macroscopic level, the nonlinearity of material is often embodied in temperature-dependent thermal conductivities, electrical conductivities, and Seeback coefficients [39], which may introduce better TE performance beyond linear response to temperature or voltage bias [40].…”