Quantum transition in bilayer states

TL;DR

This paper investigates phase transitions in bilayer quantum systems at filling factor one, proposing possible transitions from Fermi liquids to incompressible states and suggesting an intermediate phase involving charge two quasiparticles.

Contribution

It introduces a theoretical framework for understanding phase transitions in bilayer systems, including a pairing transition and an intermediate phase with charge two quasiparticles.

Findings

Bosonic case: pairing transition from Fermi liquid to incompressible state

Fermionic case: evolution from (1,1,1) state to Fermi liquid

Speculation of an intermediate phase with charge two quasiparticles

Abstract

I study the possible phase transitions when two layers at filling factor $\nu_t=1$ are gradually separated. In the bosonic case the system should undergo a pairing transition from a Fermi liquid to an incompressible state. In the Fermionic case, the state evolves from an incompressible $(1,1,1)$ state to a Fermi liquid. I speculate that there is an intermediate phase involving charge two quasiparticles.