Supernematic

I think the math inside is exciting and the states look like the frustrated hopping ground state that I have learnt from Congjun's papers, where the p-orbital ground state of hubbard model at filling, gives exact solvable Wigner crystal state, with a certain "chirality".

However, I believe Congjun's state never breaks rotational symmetry.

Instead of following the paper line by line, I will first list some questions that I have in mind when reading the paper.

1. Big Question: Is the rotation symmetry spontaneously broken? If so, what's the order parameter? What's the Goldstone mode?
2. How is "cluster-charge" Hamiltonian motivated from the underlying physics? What are the key physical insights that lead to this Hamiltonian?