Pseudo-spin canting transition in bilayer quantum Hall ferromagnets: a self-charging capacitor

Abstract

For sufficiently strong in-plane magnetic field a ${\nu }_T=1$ bilayer quantum Hall pseudo-ferromagnet is expected to exhibit a soliton lattice. For sufficiently close layers and large in-plane field, we predict this incommensurate ``planar'' phase $P_I$ to undergo a reentrant pseudo-spin canting transition to an incommensurate state $C_I$, with a finite out-of-plane pseudo-magnetization component, corresponding to an interlayer charge imbalance in regions between solitons. At $T>0$ the transition is in the 2d compressible Ising universality class, and at T=0, the quantum transition is in heretofore unexplored universality class. The striking experimental signatures are the universal nonlinear charge-voltage and in-plane field relations, and the divergence of the differential bilayer capacitance at the transition, resulting in a bilayer capacitor that spontaneously charges itself, even in the absence of an applied interlayer voltage.

4 RevTeX pgs, 1 eps figures, submitted to PRL

References in corpus (2)

• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Incommensurate ground state of double-layer quantum Hall systems

Cited by in corpus (10)

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• Spontaneous Symmetry Breaking and Exotic Quantum Order in Integer Quantum Hall Systems under a Tilted Magnetic Field
• Quantum Hall Stripe Phases at Integer Filling Factors
• Observation of counterflow superfluidity in a two-component Mott insulator
• Commensurate-incommensurate transitions of quantum Hall stripe states in double-quantum-well systems
• Global phase diagram of bilayer quantum Hall ferromagnets
• $\nu =2$ Bilayer Quantum Hall System in Tilted Magnetic Field
• Rippled state of double-layer quantum Hall systems