RESONANT-TUNNELING THROUGH A QUANTUM-DOT WEAKLY COUPLED TO QUANTUM WIRES OR QUANTUM HALL EDGE STATES

Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Lu ttinger liquids is discussed. The linear conductance due to sequential tunneling is calculated by solving a master equation for temperatures below and above the average level spacing in the dot. When the parame ter g characterizing the Tomonaga-Luttinger liquid is smaller than 1/2 , the resonant tunneling process is incoherent down to zero temperatur e. At low temperature T the height and width of the conductance peaks in the Coulomb blockade oscillations are proportional to T1/g-2 and T, respectively. The contribution from tunneling via a virtual intermedi ate state (cotunneling) is also included. The resulting conductance fo rmula can be applied for the resonant tunneling between edge states of fractional quantum Hall liquids with filling factor nu=1/(2m+1)=g.