Quantum Hall States at $\nu =\frac{2}{k+2}$

Abstract

We study the $\nu =\frac{2}{k+2}$ quantum Hall states which are particle-hole conjugates of the $\nu =\frac{k}{k+2}$ Read-Rezayi states. We find that equilibration between the different modes at the edge of such a state leads to an emergent SU(2)${}_k$ algebra in the counter-propagating neutral sector. Heat flow along the edges of these states will be in the opposite direction of charge flow. In the $k=3$ case, which may be relevant to $\nu =2+2/5$, the thermal Hall conductance and the exponents associated with quasiparticle and electron tunneling distinguish this state from competing states such as the hierarchy/Jain state.

4 pages

References in corpus (12)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological orders and Edge excitations in FQH states
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Fractional Quantum Hall Effect in the Second Landau Level

Cited by in corpus (32)

• Non-Abelian Anyons and Topological Quantum Computation
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Quasi-Topological Phases of Matter and Topological Protection
• Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
• Anyons in Quantum Hall Interferometry
• Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
• Competing Topological Orders in the nu=12/5 Quantum Hall State
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Non-Abelian Anyon Collider
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Environmental induced renormalization effects in quantum Hall edge states
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• Thermopower of Two-Dimensional Electrons at $\nu$ = 3/2 and 5/2
• Coulomb Blockade Doppelgangers in Quantum Hall States
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Quantum Hall hierarchy from coupled wires
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Spectral noise for edge states at filling factor $\nu =5/2$
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Thermal equilibration on the edges of topological liquids
• Partition Functions of Non-Abelian Quantum Hall States
• Parafermionic zero modes in ultracold bosonic systems
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Identifying non-Abelian anyons with upstream noise
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Quasiparticle agglomerates in Read-Rezayi and anti Read-Rezayi state