The role of imaginary vector potential in composite fermion pairing theory

TL;DR

This paper investigates how an imaginary vector potential influences composite fermion pairing, revealing pair-breaking effects and proposing a Hamiltonian that incorporates non-Hermitian terms, with implications for understanding quantum states.

Contribution

It introduces a Hamiltonian for composite fermion pairing that includes non-Hermitian terms and analyzes the effects of imaginary vector potentials on pairing stability.

Findings

Imaginary vector potential causes pair-breaking effects.

Non-unitary transformations are advantageous in this context.

Non-Hermitian terms have specific physical interpretations.

Abstract

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.