Meron Pseudospin Solutions in Quantum Hall Systems

TL;DR

This paper numerically investigates isolated meron pseudospin textures in bilayer quantum Hall systems at filling factor 1, providing a new computational approach to analyze their properties and effects.

Contribution

It introduces a numerical method solving nonlinear integro-differential equations for pseudospin textures, offering a different perspective from previous microscopic Hamiltonian minimization studies.

Findings

Meron solutions are characterized by their pseudospin textures.

Physical effects like pseudospin stiffness influence meron configurations.

The approach allows detailed analysis of energy contributions affecting merons.

Abstract

In this paper we report calculations of some pseudospin textures for bilayer quantum hall systems with filling factor $ \nu =1$. The textures we study are isolated single meron solutions. Meron solutions have already been studied at great length by others by minimising the microscopic Hamiltonian between microscopic trial wavefunctions. Our approach is somewhat different. We calculate them by numerically solving the nonlinear integro -differential equations arising from extremisation of the effective action for pseudospin textures. Our results can be viewed as augmenting earlier results and providing a basis for comparison.Our differential equation approach also allows us to dilineate the impact of different physical effects like the pseudospin stiffness and the capacitance energy on the meron solution.