Restrictions on exact current correlation functions and reliability of sum-rule results

2000 ◽  
Vol 63 (9) ◽  
pp. 1650-1656
Author(s):  
A. A. Pivovarov ◽  
A. S. Zubov
Keyword(s):  
Correlation Functions ◽  
Sum Rule ◽  
Current Correlation

Sum rule constraints on Kubo-transformed correlation functions

2006 ◽  
Vol 418 (1-3) ◽  
pp. 179-184 ◽  
Author(s):  
Bastiaan J. Braams ◽  
Thomas F. Miller ◽  
David E. Manolopoulos
Keyword(s):  
Correlation Functions ◽  
Sum Rule

An exactly solvable two component classical Coulomb system

1984 ◽  
Vol 26 (2) ◽  
pp. 119-128 ◽  
Author(s):  
Peter J. Forrester
Keyword(s):  
Coulomb Potential ◽  
Correlation Functions ◽  
Asymptotic Form ◽  
Coulomb System ◽  
Two Dimensional ◽  
Coupling Constant ◽  
Sum Rule ◽  
Exactly Solvable ◽  
Two Component ◽  
Special Value

AbstractA two component classical Coulomb system is considered, in which particles of charge +q and + 2q are constrained to lie on a circle and interact via the two-dimensional Coulomb potential. At a special value of the coupling constant the correlation functions are calculated exactly and the asymptotic form of the truncated charge-charge correlation is found to obey Jancovici's sum rule.

scholarly journals Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 527 ◽  
Author(s):  
Bogdan R. Bułka ◽  
Jakub Łuczak
Keyword(s):  
Correlation Functions ◽  
Quantum Interference ◽  
Cross Correlation ◽  
Destructive Interference ◽  
Quantum Interference Effect ◽  
Auto Correlation ◽  
Current Correlation ◽  
Relevant Role ◽  
Opposite Chirality

We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through the states with opposite chirality plays a relevant role in transport, where one can observe Fano resonance with destructive interference. The quantum interference effect is quantitatively described by local bond currents and their correlation functions. Fluctuations of the transport current are characterized by the Lesovik formula for the shot noise, which is a composition of the bond current correlation functions. In the presence of circular currents, the cross-correlation of the bond currents can be very large, but it is negative and compensates for the large positive auto-correlation functions.

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