Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets

Abstract

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W algebra. The skyrmion and antiskyrmion states are constructed as W${}_{\infty }$-rotated states of the hole-excited and electron-excited states, respectively. They are spin textures accompanied with density modulation that decreases the Coulomb energy. We calculate their excitation energy as a function of the Zeeman gap and compared the result with experimental data.

15 pages (to be published in PRB)

References in corpus (2)

• Ground-State Structure in $\nu =2$ Bilayer Quantum Hall Systems
• Simultaneous Excitation of Spins and Pseudospins in the Bilayer $\nu =1$ Quantum Hall State

Cited by in corpus (6)

• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
• Topological Solitons in Noncommutative Plane and Quantum Hall Skyrmions
• Quantum Hall Skyrmions at $\nu =0,\pm 1$ in monolayer graphene
• Anomalous Hall Resistance in Bilayer Quantum Hall Systems