Stripes in Quantum Hall Double Layer Systems

Abstract

We present results of a study of double layer quantum Hall systems in which each layer has a high-index Landau level that is half-filled. Hartree-Fock calculations indicate that, above a critical layer separation, the system becomes unstable to the formation of a unidirectional coherent charge density wave (UCCDW), which is related to stripe states in single layer systems. The UCCDW state supports a quantized Hall effect when there is tunneling between layers, and is {\it always} stable against formation of an isotropic Wigner crystal for Landau indices $N\ge 1$. The state does become unstable to the formation of modulations within the stripes at large enough layer separation. The UCCDW state supports low-energy modes associated with interlayer coherence. The coherence allows the formation of charged soliton excitations, which become gapless in the limit of vanishing tunneling. We argue that this may result in a novel {\it ``critical Hall state''}, characterized by a power law $I-V$ in tunneling experiments.

10 pages, 8 figures included

References in corpus (2)

• Unlocking Transition for Modulated Surfaces and Quantum Hall Stripes
• Compressible Anisotropic States around the Half-Filled Landau Levels

Cited by in corpus (18)

• Luttinger Liquid at the Edge of a Graphene Vacuum
• Wigner crystal and bubble phases in graphene in the quantum Hall regime
• Lattice Pseudospin Model for $\nu =1$ Quantum Hall Bilayers
• Orbital order in bilayer graphene at filling factor $\nu =-1$
• Spontaneous Symmetry Breaking and Exotic Quantum Order in Integer Quantum Hall Systems under a Tilted Magnetic Field
• Magnetoplasmon Excitations and Spin Density Instabilities in an Integer Quantum Hall System with a Tilted Magnetic Field
• Quantum Hall Stripe Phases at Integer Filling Factors
• Commensurate-incommensurate transitions of quantum Hall stripe states in double-quantum-well systems
• Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets
• Dynamics of quantum Hall stripes in double-quantum-well systems
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes
• Pseudospin anisotropy of trilayer semiconductor quantum Hall ferromagnets
• Interaction-driven capacitance in Graphene electron-hole double layer in the quantum Hall regime
• Optical absorption in the soliton-lattice state of a double-quantum-well system
• Anisotropic transport for $\nu =2/5$ FQH state at intermediate magnetic field
• Numerical Investigation on Asymmetric Bilayer System at Integer Filling Factor
• Intra-Landau-level collective excitations in a bilayer disordered electronic system