We show that the imaginary vector potential causes a pair-breaking effect in the composite fermion theory, and discuss its irrelevance in the pairing state. The Hamiltonian for pairing states of composite fermions is proposed. The advantage of non-unitary transformations and the meaning of the non-Hermitian term are discussed.
Composite Fermion Theory for Bosonic Atoms in Optical Lattices
Composite fermion theory of rapidly rotating two-dimensional bosons
On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential
