PHASE_T.bib
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@COMMENT{{Command line: bib2bib -ob PHASE_T.bib -c " ropsections:'PHASE_T' " 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{federbush2002quantum,
AUTHOR = {Paul Federbush},
TITLE = {For the Quantum Heisenberg Ferromagnet, Tao to the
Proof of a Phase Transition},
HOWPUBLISHED = {math-ph/0202044},
YEAR = {2002},
URL = {http://fr.arxiv.org/abs/math-ph/0202044},
PS = {/sci_docs/physics/papers/arxiv/federbush2002quantum.ps.gz},
ROPSECTIONS = {PHYSX PHASE_T},
ABSTRACT = {We present the outline of a proof for the 3-d phase
transition which we hope to carry forth. At the same
time this paper provides some physical understanding
of the phase transition, in the flavor of relatively
simple arguments from an undergraduate course. A
number of directions for mathematical research,
interesting in their own right, will be suggested by
aspects of the development. We hope and believe that
readers will be enticed by the naturalness and
beauty of the path; some perhaps even, big game
veterans, sniffing the quarry, will be ready to join
the hunt. The central construct views the trace,
Tr(exp(-beta*H)), as a lattice gas of polymers, each
representing a cycle in the permutation group, with
hard core interactions. The activities of the
polymers have expressions as arising from the main
conjecture of the paper. The estimates lead to a
phase transition in 3-d, but not 2-d. This occurs
via the same argument that a random walk in 2-d has
certain return to the origin, but not so for a
random walk in 3-d. }
}
@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. }
}
@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. }
}
@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}
}
This file has been generated by
bibtex2html 1.46
. Bibliography collected by S. Correia.