The effects of Repulsive Biquadratic Interactions in a Blume-Emery-Griffiths Spin-Glass with Competing, Attractive Biquadratic Cross-link Interactions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917887561695232 |
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| author | Snowman, Daniel P. |
| author_facet | Snowman, Daniel P. |
| contents | A BEG Hamiltonian is used to model an Ising spin glass with annealed vacancies on a hierarchical lattice. In addition to competing bilinear interactions, repulsive biquadratic interactions on the perimeter of our unit structures compete with attractive cross-link interactions. Ordering and transitions in this system are probed by generating several phase diagrams, using renormalization group methods, for a range of constant K/J. A physical interpretation is offered for each sink corresponding to a bulk phase in phase space and critical exponents are calculated for the higher-order transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The effects of Repulsive Biquadratic Interactions in a Blume-Emery-Griffiths Spin-Glass with Competing, Attractive Biquadratic Cross-link Interactions Snowman, Daniel P. Statistical Mechanics A BEG Hamiltonian is used to model an Ising spin glass with annealed vacancies on a hierarchical lattice. In addition to competing bilinear interactions, repulsive biquadratic interactions on the perimeter of our unit structures compete with attractive cross-link interactions. Ordering and transitions in this system are probed by generating several phase diagrams, using renormalization group methods, for a range of constant K/J. A physical interpretation is offered for each sink corresponding to a bulk phase in phase space and critical exponents are calculated for the higher-order transitions. |
| title | The effects of Repulsive Biquadratic Interactions in a Blume-Emery-Griffiths Spin-Glass with Competing, Attractive Biquadratic Cross-link Interactions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2501.04715 |