6,627 research outputs found
Intensity correlations in electronic wave propagation in a disordered medium: the influence of spin-orbit scattering
We obtain explicit expressions for the correlation functions of transmission
and reflection coefficients of coherent electronic waves propagating through a
disordered quasi-one-dimensional medium with purely elastic diffusive
scattering in the presence of spin-orbit interactions. We find in the metallic
regime both large local intensity fluctuations and long-range correlations
which ultimately lead to universal conductance fluctuations. We show that the
main effect of spin-orbit scattering is to suppress both local and long-range
intensity fluctuations by a universal symmetry factor 4. We use a scattering
approach based on random transfer matrices.Comment: 15 pages, written in plain TeX, Preprint OUTP-93-42S (University of
Oxford), to appear in Phys. Rev.
Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
We deduce the effects of quantum interference on the conductance of chaotic
cavities by using a statistical ansatz for the S matrix. Assuming that the
circular ensembles describe the S matrix of a chaotic cavity, we find that the
conductance fluctuation and weak-localization magnitudes are universal: they
are independent of the size and shape of the cavity if the number of incoming
modes, N, is large. The limit of small N is more relevant experimentally; here
we calculate the full distribution of the conductance and find striking
differences as N changes or a magnetic field is applied.Comment: 4 pages revtex 3.0 (2-column) plus 2 postscript figures (appended),
hub.pam.94.
Path Integral Approach to the Scattering Theory of Quantum Transport
The scattering theory of quantum transport relates transport properties of
disordered mesoscopic conductors to their transfer matrix \bbox{T}. We
introduce a novel approach to the statistics of transport quantities which
expresses the probability distribution of \bbox{T} as a path integral. The
path integal is derived for a model of conductors with broken time reversal
invariance in arbitrary dimensions. It is applied to the
Dorokhov-Mello-Pereyra-Kumar (DMPK) equation which describes
quasi-one-dimensional wires. We use the equivalent channel model whose
probability distribution for the eigenvalues of \bbox{TT}^{\dagger} is
equivalent to the DMPK equation independent of the values of the forward
scattering mean free paths. We find that infinitely strong forward scattering
corresponds to diffusion on the coset space of the transfer matrix group. It is
shown that the saddle point of the path integral corresponds to ballistic
conductors with large conductances. We solve the saddle point equation and
recover random matrix theory from the saddle point approximation to the path
integral.Comment: REVTEX, 9 pages, no figure
Electrostatic self-force in (2+1)-dimensional cosmological gravity
Point sources in (2+1)-dimensional gravity are conical singularities that
modify the global curvature of the space giving rise to self-interaction
effects on classical fields. In this work we study the electrostatic
self-interaction of a point charge in the presence of point masses in
(2+1)-dimensional gravity with a cosmological constant.Comment: 9 pages, Late
Global monopole, dark matter and scalar tensor theory
In this article, we discuss the space-time of a global monopole field as a
candidate for galactic dark matter in the context of scalar tensor theory.Comment: 8 pages, Accepted in Mod. Phys. Lett.
Equivalence of Fokker-Planck approach and non-linear -model for disordered wires in the unitary symmetry class
The exact solution of the Dorokhov-Mello-Pereyra-Kumar-equation for quasi
one-dimensional disordered conductors in the unitary symmetry class is employed
to calculate all -point correlation functions by a generalization of the
method of orthogonal polynomials. We obtain closed expressions for the first
two conductance moments which are valid for the whole range of length scales
from the metallic regime () to the insulating regime () and
for arbitrary channel number. In the limit (with )
our expressions agree exactly with those of the non-linear -model
derived from microscopic Hamiltonians.Comment: 9 pages, Revtex, one postscript figur
Random-Matrix Theory of Electron Transport in Disordered Wires with Symplectic Symmetry
The conductance of disordered wires with symplectic symmetry is studied by a
random-matrix approach. It has been believed that Anderson localization
inevitably arises in ordinary disordered wires. A counterexample is recently
found in the systems with symplectic symmetry, where one perfectly conducting
channel is present even in the long-wire limit when the number of conducting
channels is odd. This indicates that the odd-channel case is essentially
different from the ordinary even-channel case. To study such differences, we
derive the DMPK equation for transmission eigenvalues for both the even- and
odd- channel cases. The behavior of dimensionless conductance is investigated
on the basis of the resulting equation. In the short-wire regime, we find that
the weak-antilocalization correction to the conductance in the odd-channel case
is equivalent to that in the even-channel case. We also find that the variance
does not depend on whether the number of channels is even or odd. In the
long-wire regime, it is shown that the dimensionless conductance in the
even-channel case decays exponentially as --> 0 with increasing system
length, while --> 1 in the odd-channel case. We evaluate the decay
length for the even- and odd-channel cases and find a clear even-odd
difference. These results indicate that the perfectly conducting channel
induces clear even-odd differences in the long-wire regime.Comment: 28pages, 5figures, Accepted for publication in J. Phys. Soc. Jp
Ballistic Transport Through Chaotic Cavities: Can Parametric Correlations and the Weak Localization Peak be Described by a Brownian Motion Model?
A Brownian motion model is devised on the manifold of S-matrices, and applied
to the calculation of conductance-conductance correlations and of the weak
localization peak. The model predicts that (i) the correlation function in
has the same shape and width as the weak localization peak; (ii) the functions
behave as , thus excluding a linear line shape; and
(iii) their width increases as the square root of the number of channels in the
leads. Some of these predictions agree with experiment and with other
calculations only in the limit of small and a large number of channels.Comment: 5 pages revtex (twocolumn
How Phase-Breaking Affects Quantum Transport Through Chaotic Cavities
We investigate the effects of phase-breaking events on electronic transport
through ballistic chaotic cavities. We simulate phase-breaking by a fictitious
lead connecting the cavity to a phase-randomizing reservoir and introduce a
statistical description for the total scattering matrix, including the
additional lead. For strong phase-breaking, the average and variance of the
conductance are calculated analytically. Combining these results with those in
the absence of phase-breaking, we propose an interpolation formula, show that
it is an excellent description of random-matrix numerical calculations, and
obtain good agreement with several recent experiments.Comment: 4 pages, revtex, 3 figures: uuencoded tar-compressed postscrip
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