Exact Result of Ground-State Entropy for Ising Pyrochlore Magnets under a Magnetic Field along [111] Axis.

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  • Udagawa Masafumi
    Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033
  • Ogata Masao
    Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033
  • Hiroi Zenji
    Institute for Solid State Physics, University of Tokyo, Kashiwanoha, Kashiwa, Chiba 277-8581

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Ground-state entropy for an Ising pyrochlore lattice is calculated exactly under a certain range of magnetic field along the [111] axis, where the ground-state entropy shows a plateau. The obtained entropy is 0.0808kB per spin, which agrees with the experimental value. Pauling's method for estimating the ground-state entropy for the ice problem is also applied to the present case. Comparison of the result obtained with our exact result shows that Pauling's method underestimates the entropy by about 10%.

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