Haldane pseudopotentials have played a key role in the study of the fractional quantum Hall (FQH) effect as they allow an arbitrary rotationally-invariant interaction to be expanded over projectors onto the two-particle eigenstates of relative angular momentum. Here we introduce a more general class of pseudopotentials that form a complete basis in the cases where rotational symmetry is explicitly broken, e.g., due to tilted magnetic field or tilted dipolar fermions. Similar to the standard isotropic pseudopotentials, the generalized pseudopotentials are also parametrized by a unimodular metric, which groups the effective interactions into equivalence classes, and is particularly useful in determining optimal model Hamiltonians of the anisotropic FQH fluids.

[Ref: PRL 118, 146403(2017), arXiv:1709.00286(to appear in PRB) and arXiv:1710.05597]

Dr. Zi-Xiang Hu graduated from Xi’an Jiaotong University with a bachelor degree in 2003. He obtained the PhD degree in physics in 2008 from Zhejiang University under the supervision of Prof. Xin Wan. He has been a postdoc in the center of the?Asia Pacific Center for Theoretical Physics?in south Korea ?and Princeton University in U.S. during 2009-2012. His main research interests are the fractional quantum Hall system and computational physics in strongly correlated electron system.