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Full counting statistics as the geometry of two planes
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Sherkunov, Y. B., Pratap, A., Muzykantskii, B. and d'Ambrumenil, N.. (2008) Full counting statistics as the geometry of two planes. Physical Review Letters, Vol.100 (No.19). Aricle no. 196601 . ISSN 00319007
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.100.196601
Abstract
Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads to the FCS without the need for the usual nonequilibrium (Keldysh) transport theory or the direct computation of the determinant of an infinitedimensional matrix. In the particular case of the application of N Lorentzian pulses, we show the computation of the FCS reduces to the diagonalization of an NxN matrix. We also use the formulation to compute the corehole response in the xray edge problem and the FCS for a square wave pulsetrain for the case of low transmission.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics Q Science > QC Physics 

Divisions:  Faculty of Science > Physics  
Library of Congress Subject Headings (LCSH):  Statistical physics, Geometry, Plane  
Journal or Publication Title:  Physical Review Letters  
Publisher:  American Physical Society  
ISSN:  00319007  
Official Date:  16 May 2008  
Dates: 


Volume:  Vol.100  
Number:  No.19  
Number of Pages:  4  
Page Range:  Aricle no. 196601  
Identification Number:  10.1103/PhysRevLett.100.196601  
Status:  Peer Reviewed  
Publication Status:  Published  
Access rights to Published version:  Restricted or Subscription Access  
Funder:  Engineering and Physical Sciences Research Council (EPSRC)  
Grant number:  EP/D065135/1 (EPSRC)  
References:  [1] C.W. J. Beenakker and H. Schomerus, Phys. Rev. Lett. 86, 

URI:  http://wrap.warwick.ac.uk/id/eprint/30011 
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