Coulomb Blockade Oscillations Of Conductance In Quantum Dots

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In this thesis, we studied the Coulomb blockade oscillations of conductance throughrnquantum dots. Quantum dots provide a new challenge to theoretical calculations forrntheir properties using many body methods. We consider a quantum dot, which is weaklyrncoupled by tunneling barriers to two electron reservoirs. Using the constant interactionrnmodel between the charge carriers have calculated the conductance G of the quantumrndot is defined as G = IrnV , in the limit V ! 0. We have shown the effect of the chargingrnand thermal energy, and level spacing on the conductance. Since transport throughrnquantum dot proceeds by tunneling through its discrete electronic states, it will be clearrnthat for a small V a net current can flow only for certain values of the gate voltage (ifrn_E >> kBT). We found an analytical expression for the conductance of a single electronrntransistor in the regime when temperature, level spacing, and charging energy of a dotrnare all of the same order.rnIn addition, we consider the model of equidistant energy levels in a dot in the sequentialrntunneling approximation. For _ = 0.3, the normalized conductance is highlyrnoscillating with the largest amplitude and the normalized conductance becomes less oscillatoryrnas _ increases and in our case the least oscillation occurs for _ = 0.8 which isrnconsistent with the fact that the conductance becomes constant at high temperature.rnTo carried out the study we used a thermal energy for different level of spacing energy.rnIn this work we have done the numerical computation using fortran program andrnplotted the result using gnuplot. We also studied the Coulomb blockade oscillationsrnof conductance at high and low temperatures using the variation of level spacing andrnthermal energy. At low temperature there are sharp Coulomb blockade peak and forrnhigh temperatures kBT >> Ec, _E, Coulomb blockade is lifted and small oscillations ofrnthe conductance can be observed.

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Coulomb Blockade Oscillations Of Conductance In Quantum Dots

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