15 research outputs found
Quantum Interference of Coulomb Interaction and Disorder: Phase Shift of Friedel Oscillations and an Instability of the Fermi Sea
We investigate the influence of interference between Coulomb interaction and
impurity scattering on the static electronic response in
disordered metals to leading order in the effective Coulomb interaction. When
the transport relaxation time is much shorter than the
quasiparticle life time, we find a \mbox{sgn}(2p_F-q)/\sqrt{|2p_F-q|}
divergence of the polarization function at the Fermi surface (). It
causes a phase shift of the Friedel oscillations as well as an enhancement of
their amplitude. Our results are consistent with experiments and may be
relevant for understanding the stability of the amorphous state of certain
alloys against crystallization.Comment: 11 pages, 4 PostScript figures appended as a self-extracting tar
archive; includes output instruction
Interference of two electrons entering a superconductor
The subgap conductivity of a normal-superconductor (NS) tunnel junction is
thought to be due to tunneling of two electrons. There is a strong interference
between these two electrons, originating from the spatial phase coherence in
the normal metal at a mesoscopic length scale and the intrinsic coherence of
the superconductor.
We evaluated the interference effect on the transport through an NS junction.
We propose the layouts to observe drastic Aharonov-Bohm and Josephson
effects.Comment: 8 pages REVTex, [PostScript] figures upon reques
Spectral statistics of disordered metals in the presence of several Aharonov-Bohm fluxes
The form factor for spectral correlations in a diffusive metal is calculated
in the presence of several Aharonov-Bohm fluxes. When the fluxes are
equal, the correlations are universal functions of where is
the dimensionless conductance and is the number of applied fluxes. This
explains recent flux dependence of the correlations found numerically at the
metal-insulator transition.Comment: 3 pages, Latex, 1 figure, to appear in Phys. Rev. B Rapid Com
Spectral Correlations from the Metal to the Mobility Edge
We have studied numerically the spectral correlations in a metallic phase and
at the metal-insulator transition. We have calculated directly the two-point
correlation function of the density of states . In the metallic phase,
it is well described by the Random Matrix Theory (RMT). For the first time, we
also find numerically the diffusive corrections for the number variance
predicted by Al'tshuler and Shklovski\u{\i}. At the
transition, at small energy scales, starts linearly, with a slope
larger than in a metal. At large separations , it is found to
decrease as a power law with and , in good agreement with recent microscopic
predictions. At the transition, we have also calculated the form factor , Fourier transform of . At large , the number variance
contains two terms \tilde{K}(0)t \to 0$.Comment: 7 RevTex-pages, 10 figures. Submitted to PR
Spin Stiffness of Mesoscopic Quantum Antiferromagnets
We study the spin stiffness of a one-dimensional quantum antiferromagnet in
the whole range of system sizes and temperatures . We show that for
integer and half-odd integer spin case the stiffness differs fundamentally in
its and dependence, and that in the latter case the stiffness exhibits
a striking dependence on the parity of the number of sites. Integer spin chains
are treated in terms of the non-linear sigma model, while half-odd integer spin
chains are discussed in a renormalization group approach leading to a Luttinger
liquid with Aharonov-Bohm type boundary conditions.Comment: 12 pages, LaTe
Universal Spectral Correlations in Diffusive Quantum Systems
We have studied numerically several statistical properties of the spectra of
disordered electronic systems under the influence of an Aharonov Bohm flux
, which acts as a time--reversal symmetry breaking parameter. The
distribution of curvatures of the single electron energy levels has a modified
Lorentz form with different exponents in the GOE and GUE regime. It has
Gaussian tails in the crossover regime. The typical curvature is found to vary
as ( is the Thouless energy and
the mean level spacing) and to diverge at zero flux. We show that the harmonics
of the variation with of single level quantities (current or
curvature) are correlated, in contradiction with the perturbative result. The
single level current correlation function is found to have a logarithmic
behavior at low flux, in contrast to the pure symmetry cases. The distribution
of single level currents is non--Gaussian in the GOE--GUE transition regime. We
find a universal relation between , the typical slope of the levels, and
, the width of the curvature distribution, as was proposed by Akkermans
and Montambaux. We conjecture the validity of our results for any chaotic
quantum system.Comment: 23 pages of RevTEX, 11 figures avaiable upon request; submitted to
PRB; report number levs0