Capacitance and conductance of mesoscopic systems connected by quantum point contacts
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Capacitance and conductance of mesoscopic systems connected by quantum point contacts. / Flensberg, Karsten.
In: Physical Review B, Vol. 48, No. 15, 15.10.1993, p. 11156-11166.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Capacitance and conductance of mesoscopic systems connected by quantum point contacts
AU - Flensberg, Karsten
PY - 1993/10/15
Y1 - 1993/10/15
N2 - We study the transport properties of quantum dots and quantum point contacts in the Coulomb blockade regime and in the limit where the quantum point contact has nearly fully transmitting channels. Using a transformation to a multichannel Tomonaga-Luttinger-type model, we find the scaling behavior of the junction close to pinchoff. It is shown that the junction scales to an insulating junction. We find a crossover between a low-temperature regime with Coulomb blockade to a high-temperature regime where the quantum charge fluctuations are dominant. The crossover temperature between these regimes is given by Tc∼U[1-G0/NGH]N/2, where U are the bare charging energy, G0 is the nominal conductance, N is the number of channels, and GH=e2/h.
AB - We study the transport properties of quantum dots and quantum point contacts in the Coulomb blockade regime and in the limit where the quantum point contact has nearly fully transmitting channels. Using a transformation to a multichannel Tomonaga-Luttinger-type model, we find the scaling behavior of the junction close to pinchoff. It is shown that the junction scales to an insulating junction. We find a crossover between a low-temperature regime with Coulomb blockade to a high-temperature regime where the quantum charge fluctuations are dominant. The crossover temperature between these regimes is given by Tc∼U[1-G0/NGH]N/2, where U are the bare charging energy, G0 is the nominal conductance, N is the number of channels, and GH=e2/h.
U2 - 10.1103/PhysRevB.48.11156
DO - 10.1103/PhysRevB.48.11156
M3 - Journal article
C2 - 10007423
VL - 48
SP - 11156
EP - 11166
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 15
ER -
ID: 129606449