Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking

Abstract

We study Cooper pairing in the Dirac composite fermion (CF) system. The presence of the mass term in the Dirac CF description (which may simulate Landau level mixing) i.e. breaking of particle-hole (PH) symmetry in this system, is a necessary condition for the existence of a PH Pfaffian-like topological state. In the scope of RPA approximation and hydrodynamic approach, we find some signatures of pairing at finite frequencies. Motivated by this insight, we extend our analysis to the case of a different but still Dirac quasi-particle (CF) representation, appropriate in the presence of a mass term, and discuss the likelihood of PH Pfaffian pairing and Pfaffian pairing in general. On the basis of gauge field effects, we find for small Dirac mass anti-Pfaffian or Pfaffian instability depending on the sign of mass, while for large mass (Landau level mixing), irrespective of its sign, PH Pfaffian-like instability.

arXiv comment18 pages, 2 figures

References in corpus (33)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Is the Composite Fermion a Dirac Particle?
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Edge excitations of paired fractional quantum Hall states
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Parafermion Hall states from coset projections of abelian conformal theories
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Particle-Hole Symmetry and the Composite Fermi Liquid
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Parton construction of a wave function in the anti-Pfaffian phase
• Hard Dense Loops in a Cold Non-Abelian Plasma
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• Particle-Hole Symmetry Breaking and the 5/2 Fractional Quantum Hall Effect
• Mirror symmetry and the half-filled Landau level
• Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
• Role of exciton screening in the 7/3 fractional quantum Hall effect
• Non-Abelian states with negative flux: a new series of quantum Hall states
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
• Particle-hole symmetry and composite fermions in fractional quantum Hall states
• Quasiholes of 1/3 and 7/3 quantum Hall states: size estimates via exact diagonalization and density-matrix renormalization group
• Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
• Paired states in half-filled Landau levels
• Color superconductivity and nondecoupling phenomena in 2+1 dimensional QCD
• Pairing of particle-hole symmetric composite fermions in half-filled Landau level
• Fractional quantum Hall states with negative flux: edge modes in some Abelian and non-Abelian cases
• Dynamical Mass Generation of Composite Dirac Fermions and Fractional Quantum Hall Effects near Charge Neutrality in Graphene

Cited by in corpus (24)

• Duality between $(2+1)d$ Quantum Critical Points
• Fractional charge and fractional statistics in the quantum Hall effects
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Edge Probes of Topological Order
• Quantum Hall hierarchy from coupled wires
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Microscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilities
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• PH-Pfaffian order in a translationally and rotationally invariant system
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Model interactions for Pfaffian paired states based on Chern-Simons field theory description
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Pfaffian paired states for half-integer fractional quantum Hall effect
• Two-component parton fractional quantum Hall state in graphene
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Mean field approximations for short range four body interactions at $\nu =3/5$