ar X iv : c on d - m at / 9 50 90 97 v 2 1 3 Ju n 19 96 Gor ’ kov and Eliashberg Linear Response Theory : Rigorous Derivation and Limits of Applicability Ya
نویسنده
چکیده
A rigorous microscopic calculation of the polarizability of disordered mesoscopic particles within the grand canonical ensemble is given in terms of the supersymmetry method. The phenomenological result of Gor’kov and Eliashberg is confirmed. Thus the underlying assumptions of their method are justified. This encourages application of RMT in the Gor’kov–Eliashberg style to more complicated situations. PACS numbers: 72.15.-v, 73.20.Dx, 77.22.-d Typeset using REVTEX 1 Nearly 30 years ago Gor’kov and Eliashberg (GE) in the pioneering paper [1] applied the random matrix theory (RMT) and the concept of level correlation to the condensed matter physics. They studied the polarizability of a small (mesoscopic) disordered metallic particle. The dipole moment of the particle in a weak electric field E(t) is given by the Kubo formula: 〈di(t)〉 = i ∫ t
منابع مشابه
ar X iv : c on d - m at / 9 70 62 16 v 1 2 0 Ju n 19 97 Transfer matrix of a spherical scatterer
We derive the off-shell scattering matrix for a spherical scatterer. The result obtained generalizes the off-on-shell matrix commonly used in the theory of scalar waves propagation in random media.
متن کاملar X iv : n uc l - th / 9 80 60 97 v 1 2 9 Ju n 19 98 3 P 2 - 3 F 2 pairing in neutron matter with modern nucleon - nucleon potentials
متن کامل
ar X iv : c on d - m at / 9 30 70 20 v 2 2 1 Ju l 1 99 3 Dissipation of the 3 He A → B Transition
A rigorous hydrodynamic theory of the A-B transition is presented. All dissi-pative processes are considered. At low interface velocities, those occurring on hy-drodynamic length scales, not considered hitherto, are most probably the dominant ones.
متن کاملar X iv : m at h / 99 06 16 4 v 1 [ m at h . D S ] 2 4 Ju n 19 99 LINEAR FLOWS ON κ - SOLENOIDS
Linear flows on inverse limits of tori are defined and it is shown that two linear flows on an inverse limit of tori are equivalent if and only if there is an automorphism of the inverse limit generating the equivalence.
متن کاملar X iv : c on d - m at / 9 90 64 41 v 1 3 0 Ju n 19 99 FINITE TEMPERATURE TRANSPORT IN INTEGRABLE QUANTUM MANY BODY SYSTEMS
Recent developments in the analysis of finite temperature dissipationless transport in inte-grable quantum many body problems are presented. In particular, we will discuss: (i) the role played by the conservation laws in systems as the spin 1/2 Heisenberg chain and the one-dimensional Hubbard model, (ii) exact results obtained using the Bethe ansatz method on the long time decay of current corr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996