Relations between density-density correlators of states in the maximal spin multiplet

Ritajit Kundu; Ajit C. Balram

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arXiv · 2604.22628

Relations between density-density correlators of states in the maximal spin multiplet

Ritajit Kundu·Ajit C. Balram

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Abstract

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.

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Ritajit Kundu, Ajit C. Balram. 2026-04-24. Relations between density-density correlators of states in the maximal spin multiplet. https://arxiv.org/abs/2604.22628

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