Theory of the Quantum Hall Smectic Phase II: Microscopic Theory

Abstract

We present a microscopic derivation of the hydrodynamic theory of the Quantum Hall smectic or stripe phase of a two-dimensional electron gas in a large magnetic field. The effective action of the low energy is derived here from a microscopic picture by integrating out high energy excitations with a scale of the order the cyclotron energy.The remaining low-energy theory can be expressed in terms of two canonically conjugate sets of degrees of freedom: the displacement field, that describes the fluctuations of the shapes of the stripes, and the local charge fluctuations on each stripe.

20 pages, RevTex, 3 figures, second part of cond-mat/0105448 New and improved Introduction. Final version as it will appear in Physical Review B

References in corpus (3)

• Quantum Theory of a Nematic Fermi Fluid
• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
• Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock

Cited by in corpus (17)

• Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
• Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
• Competing Interactions, the Renormalization Group and the Isotropic-Nematic Phase Transition
• Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Quantum Hall Smectics, Sliding Symmetry and the Renormalization Group
• Composite Fermions and the Fermion-Chern-Simons Theory
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Role of disorder in half-filled high Landau levels
• Quantum theory of bilayer quantum Hall smectics
• Effective Field Theory and Integrability in Two-Dimensional Mott Transition
• Intra-Landau level polarization effect for a striped Hall gas
• Interacting Electrons on a Fluctuating String
• Mean-field Phase Diagram of Two-Dimensional Electrons with Disorder in a Weak Magnetic Field
• Metastable anisotropy orientation of nematic quantum Hall fluids
• Anisotropic conductivity tensor on a half-filled high Landau level