### Abstract

We study the properties of ground-state configurations of Ising models in which a fraction x of the nearest-neighbor couplings is antiferromagnetic and the rest ferromagnetic, with all couplings of equal magnitude. At T=0, these properties can be understood within the context of zero-energy lines in two dimensions and zero-energy surfaces in three. These define "domain walls" which determine the stability properties of the ground states. We find different types of spin-glass behavior for the square and cubic lattices; the latter may retain a type of long-range magnetic rigidity. Ground-state properties are expected to depend strongly on both the lattice geometry and the choice of coupling distribution.

Original language | English (US) |
---|---|

Pages (from-to) | 5567-5571 |

Number of pages | 5 |

Journal | Physical Review B |

Volume | 36 |

Issue number | 10 |

DOIs | |

State | Published - 1987 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*36*(10), 5567-5571. https://doi.org/10.1103/PhysRevB.36.5567

**Ground state of the J Ising spin glass.** / Stein, D. L.; Baskaran, G.; Liang, S.; Barber, Michael N.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 36, no. 10, pp. 5567-5571. https://doi.org/10.1103/PhysRevB.36.5567

}

TY - JOUR

T1 - Ground state of the J Ising spin glass

AU - Stein, D. L.

AU - Baskaran, G.

AU - Liang, S.

AU - Barber, Michael N.

PY - 1987

Y1 - 1987

N2 - We study the properties of ground-state configurations of Ising models in which a fraction x of the nearest-neighbor couplings is antiferromagnetic and the rest ferromagnetic, with all couplings of equal magnitude. At T=0, these properties can be understood within the context of zero-energy lines in two dimensions and zero-energy surfaces in three. These define "domain walls" which determine the stability properties of the ground states. We find different types of spin-glass behavior for the square and cubic lattices; the latter may retain a type of long-range magnetic rigidity. Ground-state properties are expected to depend strongly on both the lattice geometry and the choice of coupling distribution.

AB - We study the properties of ground-state configurations of Ising models in which a fraction x of the nearest-neighbor couplings is antiferromagnetic and the rest ferromagnetic, with all couplings of equal magnitude. At T=0, these properties can be understood within the context of zero-energy lines in two dimensions and zero-energy surfaces in three. These define "domain walls" which determine the stability properties of the ground states. We find different types of spin-glass behavior for the square and cubic lattices; the latter may retain a type of long-range magnetic rigidity. Ground-state properties are expected to depend strongly on both the lattice geometry and the choice of coupling distribution.

UR - http://www.scopus.com/inward/record.url?scp=35949009038&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevB.36.5567

DO - 10.1103/PhysRevB.36.5567

M3 - Article

VL - 36

SP - 5567

EP - 5571

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 10

ER -