Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Enhanced mesoscopic fluctuations in the crossover between random-matrix ensembles Shaffique Adam, Piet W. Brouwer, James P. Sethna, and Xavier Waintal*
 

Summary: Enhanced mesoscopic fluctuations in the crossover between random-matrix ensembles
Shaffique Adam, Piet W. Brouwer, James P. Sethna, and Xavier Waintal*
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501
Received 28 February 2002; revised manuscript received 12 August 2002; published 9 October 2002
In random-matrix ensembles that interpolate between the three basic ensembles orthogonal, unitary, and
symplectic , there exist correlations between elements of the same eigenvector and between different eigen-
vectors. We study such correlations, using a remarkable correspondence between the interpolating ensembles
late in the crossover and a basic ensemble of finite size. In small metal grains or semiconductor quantum dots,
the correlations between different eigenvectors lead to enhanced fluctuations of the electron-electron interac-
tion matrix elements which become parametrically larger than the nonuniversal fluctuations.
DOI: 10.1103/PhysRevB.66.165310 PACS number s : 73.23. b, 24.60.Ky, 42.25.Dd, 73.21.La
Random-matrix theory has focused on the study of three
ensembles of Hamiltonians: the Gaussian Unitary Ensemble
GUE , the Gaussian Orthogonal Ensemble GOE , and the
Gaussian Symplectic Ensemble GSE . These describe the
statistics of single-particle energy levels and wave functions
of disordered metal grains or chaotic quantum dots with the
corresponding symmetries; GUE if time-reversal symmetry
is broken, and GOE or GSE if time-reversal symmetry is
present and spin-rotation symmetry is present or absent, re-

  

Source: Adam, Shaffique - Condensed Matter Theory Center, University of Maryland at College Park
Sethna, James P. - Department of Physics, Cornell University

 

Collections: Materials Science; Physics