Random quantum Ising model with three-spin couplings

• URL: http://arxiv.org/abs/2503.18690v1
• Date: Mon, 24 Mar 2025 13:59:09 GMT
• Title: Random quantum Ising model with three-spin couplings
• Authors: Ferenc Iglói, Yu-Cheng Lin,
• Abstract summary: We study the critical properties of the random transverse-field Ising spin chain with multispin interactions.<n>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.
• Score: 1.69120401149173
• License: http://creativecommons.org/licenses/by/4.0/
• 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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