Clausius-Clapeyron Relations For First Order Phase Transitions In Bilayer Quantum Hall Systems

Abstract

A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor ${\nu }_{tot}=1$, as one increases the layer separation, the bilayer system goes from an interlayer coherent exciton condensed state to an incoherent phase of, most likely, two decoupled composite-fermion Fermi liquids. Many questions still remain as to the nature of the transition between these two phases. Recent experiments have demonstrated that spin plays an important role in this transition. Assuming that there is a direct first order transition between the spin-polarized interlayer-coherent quantum Hall state and spin-partially-polarized composite Fermi liquid state, we calculate the phase boundary $(d/l{)}_c$ as a function of parallel magnetic field, NMR/heat pulse, temperature, and density imbalance, and compare with experimental results. Remarkably good agreement is found between theory and various experiments.

11 pages, 4 figures

References in corpus (7)

• Paired composite fermion wavefunctions
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Evidence for a finite temperature phase transition in a bilayer quantum Hall system
• Charge Imbalance and Bilayer 2D Electron Systems at ${\nu }_T=1$
• Spin Transition in the Half-Filled Landau Level
• Quantum Hall Exciton Condensation at Full Spin Polarization
• Intrinsic gap and exciton condensation in the nu_T=1 bilayer system

Cited by in corpus (6)

• Metallic Quantum Ferromagnets
• Quantitative description of Josephson-like tunneling in ${\nu }_T=1$ quantum Hall bilayers
• Precursors to Exciton Condensation in Quantum Hall Bilayers
• Gauge Fluctuations and Interlayer Coherence in Bilayer Composite Fermion Metals
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• Interlayer Interactions and the Fermi Energy of Bilayer Composite Fermion Metals