Quantum Hall ferroelectrics and nematics in multivalley systems

Abstract

We study broken symmetry states at integer Landau level fillings in multivalley quantum Hall systems whose low energy dispersions are anisotropic. When the Fermi surface of individual pockets lacks twofold rotational symmetry, like in Bismuth (111) and in Sn${}_{1-x}$Pb${}_x$Se (001) surfaces, interactions tend to drive the formation of quantum Hall ferroelectric states. We demonstrate that the dipole moment in these states has an intimate relation to the Fermi surface geometry of the parent metal. In quantum Hall nematic states, like those arising in AlAs quantum wells, we demonstrate the existence of unusually robust skyrmion quasiparticles.

15 pages, 9 figures

References in corpus (8)

• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
• Observation of a Nematic Quantum Hall Liquid on the Surface of Bismuth
• Observation of Quantum Hall Valley Skyrmions
• Nematic Valley Ordering in Quantum Hall Systems
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Integer quantum Hall effect on a six valley hydrogen-passivated silicon (111) surface

Cited by in corpus (15)

• Emergent Dirac gullies and gully-symmetry breaking quantum Hall states in ABA trilayer graphene
• Tunable Dirac interface states in topological superlattices
• Quantum Hall Valley Nematics
• Valley-Polarized quantum Hall phase in a strain-controlled Dirac system
• Non-Abelian spin Hall insulator
• Valley Stoner Instability of the Composite Fermi Sea
• Weak antilocalization beyond the fully diffusive regime in Pb1-xSnxSe topological quantum wells
• Interaction between interface and massive states in multivalley topological heterostructures
• Gully quantum Hall ferromagnetism in biased trilayer graphene
• Local Probes for Quantum Hall Ferroelectrics and Nematics
• Quantum Hall ferroelectric helix in bilayer graphene
• Fermi surfaces of composite fermions
• Charge and spin textures of Ising quantum Hall ferromagnet domain walls
• Valley polarization of Landau levels driven by residual strain in the ZrSiS surface band
• Spontaneous Breaking of the SU(3) Flavor Symmetry in a Quantum Hall Valley Nematic