MIT.bib

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@ARTICLE{stewart2001,
  AUTHOR = {G. R. Stewart},
  TITLE = {Non-Fermi-liquid behavior in d- and f-electron
                  metals},
  JOURNAL = {Rev. Mod. Phys.},
  YEAR = {2001},
  VOLUME = {73},
  PAGES = {797-855},
  URL = {http://link.aps.org/abstract/RMP/v73/e000797},
  PDF = {/sci_docs/physics/papers/RMP/stewart2001NFL.pdf},
  ROPSECTIONS = {SURVEY FL MIT},
  ABSTRACT = {A relatively new class of materials has been found
                  in which the basic assumption of Landau Fermi-liquid
                  theory?that at low energies the electrons in a metal
                  should behave essentially as a collection of weakly
                  interacting particles?is violated. These
                  "non-Fermi-liquid" systems exhibit unusual
                  temperature dependences in their low-temperature
                  properties, including several examples in which the
                  specific heat divided by temperature shows a
                  singular log T temperature dependence over more than
                  two orders of magnitude, from the lowest measured
                  temperatures in the milliKelvin regime to
                  temperatures over 10 K. These anomalous properties,
                  with their often pure power-law or logarithmic
                  temperature dependences over broad temperature
                  ranges and inherent low characteristic energies,
                  have attracted active theoretical interest from the
                  first experimental report in 1991. This article
                  first describes the various theoretical approaches
                  to trying to understand the source of strong
                  temperature- and frequency-dependent
                  electron-electron interactions in non-Fermi-liquid
                  systems. It then discusses the current experimental
                  body of knowledge, including a compilation of data
                  on non-Fermi-liquid behavior in over 50 systems. The
                  disparate data reveal some interesting correlations
                  and trends and serve to point up a number of areas
                  where further theoretical and experimental work is
                  needed. ©2001 The American Physical Society}
}


@MISC{muzy2002correlated,
  AUTHOR = {P. T. Muzy, A. P. Vieira, S. R. Salinas},
  TITLE = {Correlated disordered interactions on Potts models},
  HOWPUBLISHED = {to be published in Physical Review E},
  YEAR = {2002},
  ROPSECTIONS = {RG MIT},
  PS = {/sci_docs/physics/papers/arxiv/muzy2002correlated.ps.gz},
  ABSTRACT = { Using a weak-disorder scheme and real-space
                  renormalization-group techniques, we obtain
                  analytical results for the critical behavior of
                  various q-state Potts models with correlated
                  disordered exchange interactions along d1 of d
                  spatial dimensions on hierarchical (Migdal-Kadanoff)
                  lattices. Our results indicate qualitative
                  differences between the cases d-d1=1 (for which we
                  find nonphysical random fixed points, suggesting the
                  existence of nonperturbative fixed distributions)
                  and d-d1>1 (for which we do find acceptable
                  perturbartive random fixed points), in agreement
                  with previous numerical calculations by Andelman and
                  Aharony. We also rederive a criterion for relevance
                  of correlated disorder, which generalizes the usual
                  Harris criterion. }
}


@ARTICLE{0953-8984-14-37-303,
  AUTHOR = {Alex P Taylor and Angus MacKinnon},
  TITLE = {The metal\–insulator transition in disordered
                  systems: a new approach to the critical behaviour},
  JOURNAL = {Journal of Physics: Condensed Matter},
  VOLUME = {14},
  NUMBER = {37},
  PAGES = {8663-8675},
  YEAR = {2002},
  ROPSECTIONS = {MIT},
  PDF = {/sci_docs/physics/papers/JPhysCondMat/taylor2002mit.pdf},
  ABSTRACT = {In the most popular approach to the numerical study
                  of the Anderson metal-insulator transition the
                  transfer matrix (TM) method is combined with
                  finite-size scaling ideas. This approach requires
                  large computer resources to overcome the statistical
                  fluctuations and to accumulate data for a sufficient
                  range of different values of disorder or energy. In
                  this paper we present an alternative approach in
                  which the basic TM is extended to calculate the
                  derivative with respect to disorder. By so doing we
                  are able to concentrate on a single value of energy
                  or disorder and, potentially, to calculate the
                  critical behaviour much more efficiently and
                  independently of the assumed range of the critical
                  regime. We present some initial results which
                  illustrate both the advantages and the drawbacks of
                  the method.}
}

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