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arXiv · 2503.18690

Random quantum Ising model with three-spin couplings

Ferenc Iglói·Yu-Cheng Lin
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Abstract

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with two-spin interactions by applying the renormalization approach for arbitrary size of the block. For the model with three-spin couplings we calculate the critical point and demonstrate that the phase transition is controlled by an infinite disorder fixed point. We have determined the typical correlation-length critical exponent, which seems to be different from that of the random transverse Ising chain with nearest-neighbor couplings. Thus this model represents a new infinite disorder universality class.

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Ferenc Iglói, Yu-Cheng Lin. 2025-03-24. Random quantum Ising model with three-spin couplings. https://doi.org/10.3390/e26080709

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