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Quantum Potts Models on the Sierpiński Pyramid (2003.09604v2)
Published 21 Mar 2020 in cond-mat.stat-mech and physics.comp-ph
Abstract: Phase transition of the two- and three-state quantum Potts models on the Sierpi\'nski pyramid are studied by means of a tensor network framework, the higher-order tensor renormalization group method. Critical values of the transverse magnetic field and the magnetic exponent $\beta$ are evaluated. Despite the fact that the Hausdorff dimension of the Sierpi\'nski pyramid is exactly two $( = \log_2{~} 4)$, the obtained critical properties show that the effective dimension is lower than two.
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