Random quantum Ising model with three-spin couplings
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912290581774336 |
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| author | Iglói, Ferenc Lin, Yu-Cheng |
| author_facet | Iglói, Ferenc Lin, Yu-Cheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random quantum Ising model with three-spin couplings Iglói, Ferenc Lin, Yu-Cheng Disordered Systems and Neural Networks Quantum Physics 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. |
| title | Random quantum Ising model with three-spin couplings |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2503.18690 |