DISORDER.bib
@COMMENT{{This file has been generated by bib2bib 1.46}}
@COMMENT{{Command line: bib2bib -ob DISORDER.bib -c " ropsections:'DISORDER' " bigBiblioFile.bib}}
@COMMENT{{ bigBiblioFile.bib generated by makebib.sh version }}
@COMMENT{{ concatenation of journals_ref.bib withpyblio.bib optimization.bib mypapers.bib other.bib refvulg.bib these_ref.bib philo.bib ../math/journals_ref.bib ../math/citeseer.bib ../math/books.bib }}
@COMMENT{{ date: Thu Nov 2 00:20:16 CET 2006 }}
@MISC{parisi1998replica,
AUTHOR = {Giorgio Parisi},
TITLE = {On the replica method for glassy systems},
OPTHOWPUBLISHED = {},
OPTMONTH = {},
YEAR = {1998},
NOTE = {Contribution to the Conference in Honour of Giovanni
Paladin, Rome September 1997. 10 pages and 2
figures},
ROPSECTIONS = {DISORDER REPLICA PHYSX},
PS = {/sci_docs/physics/papers/arxiv/parisi1998replica.ps.gz},
ABSTRACT = {In this talk we review our theoretical understanding
of spin glasses paying a particular attention to the
basic physical ideas. We introduce the replica
method and we describe its probabilistic
consequences (we stress the recently discovered
importance of stochastic stability). We show that
the replica method is not restricted to systems with
quenched disorder. We present the consequences on
the dynamics of the system when it slows approaches
equilibrium are presented: they are confirmed by
large scale simulations, while we are still awaiting
for a direct experimental verification.}
}
@MISC{parisi1999replica,
AUTHOR = {Giorgio Parisi},
TITLE = {Replica and Glasses},
YEAR = {1999},
NOTE = {Contribution to the NATO-ASI school on Liquid State
Theory (Patti 1998). 25 pages and 6 figures},
URL = {http://fr.arxiv.org/abs/cond-mat/9907052},
PS = {/sci_docs/physics/papers/arxiv/parisi1999replica.ps.gz},
ROPSECTIONS = {PHYSX DISORDER REPLICA},
ABSTRACT = {In these two lectures I review our theoretical
understanding of spin glasses paying a particular
attention to the basic physical ideas. We introduce
the replica method and we describe its probabilistic
consequences (we stress the recently discovered
importance of stochastic stability). We show that
the replica method is not restricted to systems with
quenched disorder. We present the consequences on
the dynamics of the system when it slows approaches
equilibrium are presented: they are confirmed by
large scale simulations, while we are still awaiting
for a direct experimental}
}
@MISC{polonyi2002internal,
AUTHOR = {Janos Polonyi},
TITLE = {Internal Space Renormalization Group Methods for
Atomic and Condensed Matter Physics},
HOWPUBLISHED = {Talk presented at the Conference "Renormalization
Group 2002 (RG-2002)" Strba, Slovakia,},
MONTH = {March},
YEAR = {2002},
ROPSECTIONS = {QFT DISORDER},
URL = {http://fr.arxiv.org/abs/cond-mat/0205040},
PS = {/sci_docs/physics/papers/arxiv/polonyi2002internal.ps.gz},
ABSTRACT = {The functional renormalization group method is used
to take into account the vacuum polarization around
localized bound states generated by external
potential. The application to Atomic Physics leads
to improved Hartree-Fock and Kohn-Sham equations in
a systematic manner within the framework of the
Density Functional Theory. Another application to
Condensed Matter Physics consists of an algorithm to
compute quenched averages with or without Coulomb
interaction in a non-perturbative manner.}
}
@MISC{polonyi2002current,
AUTHOR = {Janos Polonyi},
TITLE = {Current-density functional for disordered systems},
HOWPUBLISHED = {cond-mat/0203090},
YEAR = {2002},
URL = {http://fr.arxiv.org/abs/cond-mat/0203090},
PS = {/sci_docs/physics/papers/arxiv/polonyi2002current.ps.gz},
ROPSECTIONS = {QFT DISORDER},
ABSTRACT = { The effective action for the current and density is
shown to satisfy an evolution equation, constructed
by the analogy of the functional renormalization
group, which describes the dependence of the
one-particle irreducible vertex functions on the
strength of the disorder and the Coulomb
interaction. No small parameter is assumed in
deriving the evolution equation. The case of the
non-interacting electron gas is discussed in more
details. The effective action is constructed in the
initial condition for weakly fluctuating impurity
field in the framework of the gradient expansion. It
is conjectured that non-linearities should drive the
transport coefficients to zero at finite strength of
the disorder in a manner analogous to a formal
diffusion process and the quartic order terms of the
gradient expansion would be the key to the localized
phase.}
}
@ARTICLE{0959-7174-12-3-308,
AUTHOR = {Knut S\o{}lna},
TITLE = {Focusing of time-reversed reflections},
JOURNAL = {Waves in Random Media},
VOLUME = {12},
NUMBER = {3},
PAGES = {365-385},
YEAR = {2002},
ROPSECTIONS = {LOCALIZATION DISORDER MULTISCATT},
PDF = {/sci_docs/physics/papers/WavesRandomMedia/solna2002focusing.pdf},
ABSTRACT = {Recently time-reversal techniques have emerged as a
new, important and fascinating discipline within
wave propagation. Many of the problems involved can
best be understood, analysed and optimized based on
a random field model for the medium. Here we discuss
stable refocusing of second-order time-reversed
reflections. This phenomenon may appear as
surprising at first. However, we show how it can be
understood in very simple terms viewing the
wavefield as a stochastic process. We give
sufficient conditions on Green's function of the
propagation problem for the phenomenon to happen. In
particular we discuss acoustic wave propagation in
the regime of weak random medium fluctuations and
explicitly give the derivation of stable refocusing
in this case, illustrating it with numerical
examples.}
}
@ARTICLE{kuzovkov2002exact,
AUTHOR = {V N Kuzovkov and W von Niessen and V Kashcheyevs and O Hein},
TITLE = {Exact analytic solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization},
JOURNAL = {Journal of Physics: Condensed Matter},
VOLUME = {14},
NUMBER = {50},
PAGES = {13777-13797},
YEAR = {2002},
ROPSECTIONS = {LOCALIZATION DISORDER PHASE_T},
PDF = {/sci_docs/physics/papers/JPhysCondMat/kuzovkov2002exact.pdf},
ABSTRACT = {The Anderson localization problem in one and two
dimensions is solved analytically via the calculation of the
generalized Lyapunov exponents. This is achieved by making use of
signal theory. The phase diagram can be analysed in this way. In the
one-dimensional case all states are localized for arbitrarily small
disorder in agreement with existing theories. In the two-dimensional
case for larger energies and large disorder all states are localized
but for certain energies and small disorder extended and localized
states coexist. The phase of delocalized states is marginally
stable. We demonstrate that the metal\–insulator transition
should be interpreted as a first-order phase
transition. Consequences for perturbation approaches, the problem of
self-averaging quantities and numerical scaling are discussed. }
}
@ARTICLE{mae2003energy,
AUTHOR = {Naohiro Mae and Shinji Iida},
TITLE = {Energy level statistics in weakly disordered systems: from quantum to diffusive regime},
JOURNAL = {Journal of Physics A: Mathematical and General},
VOLUME = {36},
NUMBER = {4},
PAGES = {999-1011},
ROPSECTIONS = {DISORDER},
PDF = {/sci_docs/physics/papers/JPhysA/mae2003energy.pdf},
YEAR = {2003},
ABSTRACT = {We calculate two-point energy level correlation function
in weakly disordered metallic grain by taking account of
localization corrections to the universal random matrix
result. Using supersymmetric nonlinear \σ model and exactly
integrating spatially homogeneous modes, we derive the expression
valid for arbitrary energy differences from quantum to diffusive
regime for the system with broken time reversal symmetry. Our result
coincides with that obtained by Andreev and Altshuler (1995
Phys. Rev. Lett . 72 902) where homogeneous modes are perturbatively
treated. }
}
@ARTICLE{0305-4470-36-49-003,
AUTHOR = {W Kirsch and O Lenoble and L Pastur},
TITLE = {On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems},
JOURNAL = {Journal of Physics A: Mathematical and General},
VOLUME = {36},
NUMBER = {49},
PAGES = {12157-12180},
YEAR = {2003},
ROPSECTIONS = {LOCALIZATION DISORDER},
PDF = {/sci_docs/physics/papers/JPhysA/kirsch2003mott.pdf},
ABSTRACT = {We present a method that allows us to find the asymptotic form of various characteristics of disordered systems in the strong localization regime, i.e., when either the random potential is big or the energy is close to a spectral edge. The method is based on the hypothesis that the relevant realizations of the random potential in the strong localization regime have the form of a collection of deep random wells that are uniformly and chaotically distributed in space with a sufficiently small density. Assuming this and using the density expansion, we show first that the density of wells coincides in leading order with the density of states. Thus the density of states is in fact the small parameter of the theory in the strong localization regime. Then we derive the Mott formula for the low frequency conductivity and the asymptotic formulae for certain two-point correlators when the difference of the respective energies is small. }
}
@ARTICLE{1999EL.....47..175T,
AUTHOR = {{Tourin}, A. and {Derode}, A. and {Fink}, M.},
TITLE = {{Dynamic time reversal of randomly backscattered acoustic waves}},
JOURNAL = {Europhysics Letters},
YEAR = 1999,
MONTH = JUL,
VOLUME = 47,
PAGES = {175-181},
ADSURL = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1999EL.....47..175T&db_key=PHY},
ADSNOTE = {Provided by the Smithsonian/NASA Astrophysics Data System},
ROPSECTIONS = {MULTISCATT DISORDER}
}
@COMMENT{{ThisfilehasbeengeneratedbyPybliographer}}
@PHDTHESIS{schreiber1997systemes,
AUTHOR = {Georg R. Schreiber},
TITLE = {Syst{\`e}mes d{\'e}sordonn{\'e}s et frustr{\'e}s:
mod{\`e}les champ moyen et probl{\`e}mes
d'optimisation combinatoire},
SCHOOL = {CEA/Saclay, SPhT},
YEAR = {1997},
ADDRESS = {UNIVERSITE PARIS SUD - PARIS XI},
MONTH = {novembre},
ROPSECTIONS = {THESIS PHYSX DISORDER REPLICA PHASE_T},
URL = {http://theses-en-ligne.ccsd.cnrs.fr/documents/archives0/00/00/08/25/index_fr.html},
PS = {/sci_docs/physics/papers/thesis/schreiber1997systemes.ps.gz},
ABSTRACT = {In the present Ph.D. dissertation I present results
concerning disordered and frustrated models of
relevance in statistical mechanics and in
combinatorial optimization. As an application of
spin glass theory I study the disordered and
frustrated Blume-Emery-Griffiths model. The model is
treated in its mean-field approximation using
replicas. Within the Ansatz of replica-symmetry, I
present a complete numerical solution; I also
discuss effects of replica symmetry breaking. The
stability of the RS solution is studied and the
regions of instability inferred. The phase diagram
exhibits first and second order transitions. The
tricritical point is still present in the frustrated
model, in agreement with former work. A version of
the BEG model with disordered chemical potential is
also studied. The calculations confirm that the
disorder decreases the tricritical
temperature. Next, I consider the graph partitioning
problem, a combinatorial optimization problem,
which, from the point of view of statistical
mechanics is a spin glass model with the constraint
of zero magnetisation. I focus on the statistical
properties of low energy solutions generated by
"heuristic" algorithms designed to solve such hard
combinatorial optimization problems. Several
heuristics proposed to solve this problem were
implemented. Scaling laws are obtained; in
particular, the average cost and its variance grow
linearly with the number of vertices of the
graphs. As a consequence the cost found by the
heuristics is self-averaging. I suggest that this
property is quite general, valid for random
solutions, quasi-optimal solutions, and probably for
the optimum solutions, too. Furthermore a ranking
method is proposed and illustrated on an ensemble of
graph partitioning problems. This ranking procedure
takes into account the quality of the solution as
well as the time necessary to find that solution. In
the third part of this dissertation I study in
detail the zero-temperatures properties of spin
glasses on sparse random graphs with fixed
connectivity. Spin glasses on these graphs may be
considered as a more realistic approximation to real
spin glasses as represented by the model of
Sherrington and Kirkpatrick. I have designed a new
algorithm for finding low energy states. Second, I
present a method for deriving the ground state
energy from heuristic algorithms, even though they
are not guaranteed to find the optimum. Third, I
present a numerical test of a conjecture due to
Banavar, Sherrington and Sourlas, giving the large
volume energy density of the ground states as
function of the connectivity. The distribution of
the order parameter is found to be non-trivial, and
I give evidence for the presence of ultrametricity
for all values of the connectivity. These results
confirm the expectation that the remarquable
properties of the infinite range
Sherrington-Kirkpatrick model carry over to more
realistic models, as for example the spin glass
model on random graphs with finite connectivity
studied in the present work. }
}
@ARTICLE{bk94,
AUTHOR = {D. Belitz and T. R. Kirkpatrick},
TITLE = {The Anderson-Mott transition},
JOURNAL = {Rev. Mod. Phys.},
YEAR = {1994},
OPTKEY = {},
VOLUME = {\textbf{66}},
OPTNUMBER = {2},
PAGES = {261-380},
OPTMONTH = {April},
OPTNOTE = {},
OPTANNOTE = {},
ROPSECTIONS = {QFT DISORDER CORREL}
}
@ARTICLE{bk97,
AUTHOR = {D. Belitz and T. R. Kirkpatrick},
TITLE = {Theory of many-fermion systems},
JOURNAL = {\PRB},
YEAR = {1997},
OPTKEY = {},
VOLUME = {\textbf{56}},
OPTNUMBER = {},
PAGES = {6513-6541},
OPTMONTH = {},
NOTE = {\textnormal{\texttt{cond-mat/9703164}}},
OPTANNOTE = {},
PDF = {/sci_docs/physics/papers/PRB/theory.pdf.gz},
ROPSECTIONS = {QFT DISORDER CORREL}
}
@ARTICLE{bk98,
AUTHOR = {D. Belitz and T. R. Kirkpatrick},
TITLE = {Theory of many-fermion systems. II. The case of Coulomb interactions},
JOURNAL = {\PRB},
YEAR = {1998},
OPTKEY = {},
VOLUME = {\textbf{58}},
OPTNUMBER = {15},
PAGES = {9710-9720},
OPTMONTH = {},
OPTANNOTE = {},
PDF = {/sci_docs/physics/papers/PRB/theoryII.pdf.gz},
ROPSECTIONS = {QFT DISORDER CORREL}
}
@INCOLLECTION{bkqpt,
AUTHOR = {T. R. Kirkpatrick and D. Belitz},
TITLE = {Quantum phase transitions in electronic systems},
BOOKTITLE = {Electron correlation in the solid state},
OPTCROSSREF = {},
OPTKEY = {},
PAGES = {297-370},
PUBLISHER = {Imperial College Press},
YEAR = {1999},
EDITOR = {N. H. March},
OPTVOLUME = {},
OPTNUMBER = {},
OPTSERIES = {},
OPTTYPE = {},
OPTCHAPTER = {},
ADDRESS = {London},
OPTEDITION = {},
OPTMONTH = {},
NOTE = {\textnormal{\texttt{cond-mat/9707001}}},
OPTANNOTE = {},
ROPSECTIONS = {QFT DISORDER CORREL PHASE_T}
}
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