Meron excitations in the nu =1 quantum Hall bilayer and the plasma analogy

TL;DR

This paper investigates meron quasiparticles in the q=1 quantum Hall bilayer, introducing effective states and plasma analogies to understand their interactions and potential deconfinement phenomena observed experimentally.

Contribution

It presents new effective meron states, establishes a plasma analogy for the ground state, and links impurity interactions to meron deconfinement in the bilayer system.

Findings

Derived effective long-distance meron states

Established plasma analogy for the ground state

Linked impurity interactions to meron deconfinement

Abstract

We study meron quasiparticle excitations in the \nu = 1 quantum Hall bilayer. Considering the well known single meron state, we introduce its effective form, valid in the longdistance limit. That enables us to propose two (and more) meron states in the same limit. Further, establishing a plasma analogy of the (111) ground state, we find the impurities that play the role of merons and derive meron charge distributions. Using the introduced meron constructions in generalized (mixed) ground states and corresponding plasmas for arbitrary distance between the layers, we calculate the interaction between the construction implied impurities. We also find a correspondence between the impurity interactions and meron interactions. This suggests a possible explanation of the deconfinement of the merons recently observed in the experiments.