Spontaneous Symmetry Breaking and Exotic Quantum Order in Integer Quantum Hall Systems under a Tilted Magnetic Field

Abstract

We use the microscopic Hartree-Fock approximation to investigate various quantum phase transitions associated with possible spontaneous symmetry breaking induced by a tilted magnetic field in the integral quantum Hall regime of wide parabolic wells and zero width double well (bilayer) systems. We propose a general class of variational wavefunctions that describe several types of parity, spin, and translational symmetry breaking, including spin and charge density wave phases. Zero temperature quantum phase diagrams for these systems are calculated in the parameter regime of experimental interest. We discuss the symmetry properties of our predicted quantum phase diagrams and give a unified picture of these novel many-body phases. A conceptually new aspect of our theory is the predicted possibility for the spontaneous breaking of parity symmetry, which indicates a ``ferroelectric'' quantum order in integer quantum Hall systems and has not been considered in the literature before.

55 pages and 14 figures. Submmitted to Phys. Rev. B

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Cited by in corpus (16)

• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Fractional quantum Hall effect in a tilted magnetic field
• Two-subband quantum Hall effect in parabolic quantum wells
• Quantum Hall ferroelectrics and nematics in multivalley systems
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• Quantum phase diagrams of fermionic dipolar gases for an arbitrary orientation of dipole moment in a planar array of 1D tubes
• Spontaneous Pseudospin Spiral Order in Bilayer Quantum Hall Systems
• Viscoelastic response of quantum Hall fluids in a tilted field
• Pseudospin ferromagnetism in double-quantum-wire systems
• Probing Quantum Hall Pseudospin Ferromagnet by Resistively Detected NMR
• Paired states in half-filled Landau levels
• Observation of an in-plane magnetic-field-driven phase transition in a quantum Hall system with SU(4) symmetry
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Global Phase Diagram of nu = 2 Quantum Hall Bilayers in Tilted Magnetic Field
• Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field