Session B46: SPS Undergraduate II

11:15 AM–2:15 PM, Monday, March 18, 2013
Hilton Baltimore Room: Holiday Ballroom 5

Sponsoring Unit: SPS
Chair: Crystal Bailey, American Physical Society

Abstract ID: BAPS.2013.MAR.B46.12

Abstract: B46.00012 : High temperature series expansion and the exact solution study of the 1/5 depleted square lattice Ising model

1:27 PM–1:39 PM

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  Simeon Hanks
    (Augusta State University)

  Trinanjan Datta
    (Augusta State University)

  Jaan Oitmaa
    (The University of New South Wales)

The critical behavior of the 1/5 depleted square-lattice Ising model with nearest neighbor ferromagnetic interaction has been investigated by means of both a high-temperature series expansion and an exact solution. The critical point in the coupling constant has been accurately determined with a series expansion up to order eighteen in the high temperature expansion parameter. For the exact solution we use a set of decoration transformations to recast the original model in terms of a set of nearest neighbor, next-nearest neighbor, and four spin interaction Ising model. This is followed by a transformation to a staggered 8-vertex model. As the vertex weights satisfy the free-fermion condition the free energy and critical point are obtainable by standard methods.

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