Critical behavior of dirty parafermionic chains
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929472100368384 |
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| author | Pandey, Akshat Cowsik, Aditya |
| author_facet | Pandey, Akshat Cowsik, Aditya |
| contents | A family of $\mathbb Z_n$-symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We study these models with spatially random couplings, and obtain several exact results on thermodynamic singularities as the distributions of couplings are varied. We find that these singularities, independent of $n$, are identical to those in the random transverse-field Ising chain; correspondingly the models host infinite-randomness critical points. Similarities in structure to exact methods for random Ising models, a strong-disorder renormalization group, and generalizations to other models with free spectra, are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical behavior of dirty parafermionic chains Pandey, Akshat Cowsik, Aditya Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons Mathematical Physics A family of $\mathbb Z_n$-symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We study these models with spatially random couplings, and obtain several exact results on thermodynamic singularities as the distributions of couplings are varied. We find that these singularities, independent of $n$, are identical to those in the random transverse-field Ising chain; correspondingly the models host infinite-randomness critical points. Similarities in structure to exact methods for random Ising models, a strong-disorder renormalization group, and generalizations to other models with free spectra, are discussed. |
| title | Critical behavior of dirty parafermionic chains |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2404.04324 |