Relations between density-density correlators of states in the maximal spin multiplet
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917453957693440 |
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| author | Kundu, Ritajit Balram, Ajit C. |
| author_facet | Kundu, Ritajit Balram, Ajit C. |
| contents | We present identities relating the pair-correlation functions and static structure factors of states in the maximal spin multiplet. This allows us to compute these density-density correlation functions of all members of the multiplet using just these correlation functions of the highest-weight state. We apply these relations to obtain energies for many fractional quantum Hall (FQH) states. In particular, we analytically compute the energies of the Halperin-$(1,1,1)$ state as a function of density imbalance and layer separation, and numerically evaluate these energies for many other FQH states. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_22628 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relations between density-density correlators of states in the maximal spin multiplet Kundu, Ritajit Balram, Ajit C. Strongly Correlated Electrons Mesoscale and Nanoscale Physics We present identities relating the pair-correlation functions and static structure factors of states in the maximal spin multiplet. This allows us to compute these density-density correlation functions of all members of the multiplet using just these correlation functions of the highest-weight state. We apply these relations to obtain energies for many fractional quantum Hall (FQH) states. In particular, we analytically compute the energies of the Halperin-$(1,1,1)$ state as a function of density imbalance and layer separation, and numerically evaluate these energies for many other FQH states. |
| title | Relations between density-density correlators of states in the maximal spin multiplet |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2604.22628 |