TY - JOUR

T1 - Compressibility, capacitance, and ground-state energy fluctuations in a weakly interacting quantum dot

AU - Berkovits, R.

AU - Altshuler, B.

PY - 1997

Y1 - 1997

N2 - We study the effect of electron-electron (e-e) interactions on compressibility, capacitance, and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation. As expected, the ensemble-averaged compressibility and capacitance decreases as a function of the interaction strength, while the mean inverse compressibility increases. Fluctuations of the compressibility are found to be strongly suppressed by the e-e interactions. Fluctuations of the capacitance and inverse compressibility also turn out to be much smaller than their averages. The analytical calculations are compared with the results of a numerical calculation for the inverse compressibility of a disordered tight-binding model. Excellent agreement for weak-interaction values is found. Implications for the interpretation of current experimental data are discussed.

AB - We study the effect of electron-electron (e-e) interactions on compressibility, capacitance, and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation. As expected, the ensemble-averaged compressibility and capacitance decreases as a function of the interaction strength, while the mean inverse compressibility increases. Fluctuations of the compressibility are found to be strongly suppressed by the e-e interactions. Fluctuations of the capacitance and inverse compressibility also turn out to be much smaller than their averages. The analytical calculations are compared with the results of a numerical calculation for the inverse compressibility of a disordered tight-binding model. Excellent agreement for weak-interaction values is found. Implications for the interpretation of current experimental data are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0001265415&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.55.5297

DO - 10.1103/PhysRevB.55.5297

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AN - SCOPUS:0001265415

SN - 1098-0121

VL - 55

SP - 5297

EP - 5305

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 8

ER -