Singular Pair Breaking in the Composite Fermi Liquid Description of the Half-Filled Landau Level

Abstract

Fluctuations of the Chern-Simons gauge field in the composite Fermi liquid description of the half-filled Landau level are pair breaking in all angular momentum channels. For short-range electron-electron interactions these fluctuations are sufficiently strong to drive any T=0 pairing transition first order. For Coulomb interactions these fluctuations are weaker and a continuous transition is possible.

12 pages, 1 eps figure included (more typos corrected)

References in corpus (2)

• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Monte Carlo Comparison of Quasielectron Wave Functions

Cited by in corpus (26)

• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Are non-Fermi-liquids stable to Cooper pairing?
• Cooper Instability of Composite Fermions
• Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
• Tunable interactions and phase transitions in Dirac materials in a magnetic field
• Tilt Induced Localization and Delocalization in the Second Landau Level
• Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases
• Pairing in half-filled Landau level
• Higher angular momentum pairing from transverse gauge interactions
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Gauge Fluctuations and Interlayer Coherence in Bilayer Composite Fermion Metals
• Three-body correlations and finite-size effects in the Moore--Read states on a sphere
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid
• Spin-pairing instabilities at the coincidence of two Landau levels
• Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Bootstrapping the Quantum Hall problem
• Conductivity of Paired Composite Fermions
• Spin-singlet hierarchy in the fractional quantum Hall effect
• On ground states of interacting Composite Fermions with spin at half filling
• Field theory of spin-singlet quantum Hall states
• Paired Hall States versus Unidirectional CDW in Tilted Field for $\nu =5/2$
• Correlation-hole induced paired quantum Hall states in lowest Landau level
• Lauglin-type wavefunction of two-dimensional electrons in the tilted magnetic field
• Effective Hamiltonian for striped and paired states at the half-filled Landau level
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid