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We investigate magnetic properties of a two-dimensional periodic structurewith Ising spins and antiferromagnetic nearest neighbor interaction. Thestructure is topologically equivalent to the Archimedean (3,12^2) lattice. Theground state energy is degenerate. In some ground states, the spin structure istranslationally invariant, with the same configuration in each unit cell.Numerical results are reported on specific heat and static magneticusceptibility against temperature. Both quantities show maxima at temperatureT>0. They reveal some sensitivity on the initial state in temperatures wherethe Edwards--Anderson order parameter is positive. For zero temperature and lowfrequency of the applied field, the magnetic losses are negligible. However,the magnetization curve displays some erratic behavior due to the metastablestates.Comment: 5 pages, 8 figures in 12 files, revtex

physical review. b, condensed matter and materials physics

Spin-glass properties of an Ising antiferromagnet on the Archimedean<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mn>12</mml:mn><mml:mn>2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math>lattice

Spin-glass properties of an Ising antiferromagnet on the Archimedean(3,122)lattice