TY - JOUR
T1 - Noise spectrum and the fluctuation-dissipation theorem in mesoscopic rings
AU - Gefen, Yuval
AU - Entin-Wohlman, Ora
N1 - Funding Information:
various stages of the work, his critical reading of the manuscript, and his comments that were determinant for the final form of Appendix A. The research was supported by the U.S.-Israel Binational Science Foundation, the Minerva Foundation, Munich, Germany, the German-Israeli Foundation for Scientific Research and Development, and by the Fund for Basic Research administered by the Israel Academy of Sciences and Humanities.
PY - 1991/2/15
Y1 - 1991/2/15
N2 - A disordered one-dimensional metallic ring threaded by a magnetic flux is considered. The ensemble-averaged noise spectrum of the thermodynamic current fluctuations is calculated, and its dependence on flux, temperature, system size, and electron density is studied. Weak localization results are reproduced in the infinite-size limit and found not to contribute, to leading order, to the flux dependence. For a finite-size ring, the fluctuation-dissipation theorem is invoked to relate the noise spectrum to the real part of the ac conductance. The latter may be either a maximum or a minimum as a function of the flux, depending on the parity of the number of electrons. The results are discussed in view of previous studies of related problems.
AB - A disordered one-dimensional metallic ring threaded by a magnetic flux is considered. The ensemble-averaged noise spectrum of the thermodynamic current fluctuations is calculated, and its dependence on flux, temperature, system size, and electron density is studied. Weak localization results are reproduced in the infinite-size limit and found not to contribute, to leading order, to the flux dependence. For a finite-size ring, the fluctuation-dissipation theorem is invoked to relate the noise spectrum to the real part of the ac conductance. The latter may be either a maximum or a minimum as a function of the flux, depending on the parity of the number of electrons. The results are discussed in view of previous studies of related problems.
UR - http://www.scopus.com/inward/record.url?scp=0004798628&partnerID=8YFLogxK
U2 - 10.1016/0003-4916(91)90221-S
DO - 10.1016/0003-4916(91)90221-S
M3 - Article
AN - SCOPUS:0004798628
SN - 0003-4916
VL - 206
SP - 68
EP - 89
JO - Annals of Physics
JF - Annals of Physics
IS - 1
ER -