Quantum Hall Solitons with Intertwined Spin and Pseudospin at $\nu =1$

Abstract

In this paper we study in detail different types of topological solitons which are possible in bilayer quantum Hall systems at filling fraction $\nu =1$ when spin degrees of freedom are included. Starting from a microscopic Hamiltonian we derive an effective energy functional for studying such excitations. The gauge invariance and $C{P}^3$ character of this energy fuctional and their consequences are examined. Then we identify permissible classes of finite energy solutions which are topologically non-trivial. We also numerically evaulate a representative solution in which a pseudospin (layer degrees of freedom) bimeron in a given spin component is intertwined with spin-skyrmions in each layer, and and discuss whether it is energetically favoured as the lowest lying excitation in such system with some numerical results.

Revised version with more numerical results one more figure and table added. Total 32 pages,6 Postscript figures. Correspondence to [email protected]

References in corpus (5)

• Spin-Pseudospin Coherence and CP${}^3$ Skyrmions in Bilayer Quantum Hall Ferromagnets
• Spin-isospin textured excitations in a double layer at filling factor $\nu =2$
• Improved Composite-Boson Theory of Monolayer and Bilayer Quantum Hall Ferromagnets
• Meron Pseudospin Solutions in Quantum Hall Systems
• Bimerons in Double Layer Quantum Hall Systems

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• Pions versus Magnons: From QCD to Antiferromagnets and Quantum Hall Ferromagnets
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Intrinsic gap and exciton condensation in the nu_T=1 bilayer system
• Collective modes of CP(3) Skyrmion crystals in quantum Hall ferromagnets
• Pseudospin vortex-antivortex states with interwoven spin textures in double layer quantum Hall systems
• Phase diagram of insulating crystal and quantum Hall states in ABC-stacked trilayer graphene
• Grassmannian Fields and Doubly Enhanced Skyrmions in Bilayer Quantum Hall system at $\nu =2$
• $\nu =2$ Bilayer Quantum Hall System in Tilted Magnetic Field
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Transport gap and hysteretic behavior of the Ising quantum Hall ferromagnets in Landau levels $\left|N\right|>0$ of bilayer graphene
• Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes
• Effective field theory for spinor dipolar Bose Einstein condensates