Meron ground states of quantum Hall droplets

Abstract

We argue that topological meron excitations, which are in a strong coupling phase (bound in pairs) in infinite quantum Hall ferromagnets, become deconfined in finite size quantum Hall systems. Although effectively for larger systems meron energy grows with the size of the system, when gyromagnetic ratio is small meron becomes the lowest lying state of a quantum Hall droplet. This comes as a consequence of the many-body correlations built in the meron construction that minimize the interaction energy. We demonstrate this by using mean field ansatzes for meron wave function. The ansatzes will enable us to consider much larger system sizes than in the previous work [A. Petkovic and M.V. Milovanovic, PRL 98, 066808 (2007)], where fractionalization into merons was introduced.

6 pages, 6 figures

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Cited by in corpus (5)

• Meron Ground State of Rashba Spin-Orbit-Coupled Dipolar Bosons
• Spin ordering in magnetic quantum dots: From core-halo to Wigner molecules
• Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
• Chiral spin currents and spectroscopically accessible single merons in quantum dots
• Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots