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MPI-I-96-1-004

Exact ground states of two-dimensional $\pm J$ Ising Spin Glasses

De Simone, C. and Diehl, M. and Jünger, Michael and Mutzel, Petra and Reinelt, Gerhard and Rinaldi, G.

MPI-I-96-1-004. March 1996, 10 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
In this paper we study the problem of finding an exact ground state of a two-dimensional $\pm J$ Ising spin glass on a square lattice with nearest neighbor interactions and periodic boundary conditions when there is
a concentration $p$ of negative bonds, with $p$ ranging between $0.1$ and $0.9$. With our exact algorithm we can determine ground states of grids of sizes up to $50\times 50$ in a moderate amount of computation time (up to one hour each) for several values of $p$. For the ground state energy of an infinite spin glass system with $p=0.5$ we estimate $E_{0.5}^\infty = -1.4015 \pm0.0008$.
We report on extensive computational tests based on more than $22\,000$ experiments.
Acknowledgement:
References to related material:


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URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1996-1-004
Hide details for BibTeXBibTeX
@TECHREPORT{DeSimoneDiehlJuengerMutzelReineltRinaldi96a,
  AUTHOR = {De Simone, C. and Diehl, M. and J{\"u}nger, Michael and Mutzel, Petra and Reinelt, Gerhard and Rinaldi, G.},
  TITLE = {Exact ground states of two-dimensional $\pm J$ Ising Spin Glasses},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-96-1-004},
  MONTH = {March},
  YEAR = {1996},
  ISSN = {0946-011X},
}