Optical Probing of the Spin Polarization of the nu=5/2 Quantum Hall State

Abstract

We apply polarization resolved photoluminescence spectroscopy to measure the spin polarization of a two dimensional electron gas in perpendicular magnetic field. In the vicinity of filling factor nu=5/2, we observe a sharp discontinuity in the energy of the zero Landau level emission line. We find that the splitting between the two circular polarizations exhibits a sharp drop at nu=5/2 and is equal to the bare Zeeman energy, which resembles the behavior at even filling factors. We show that this behavior is consistent with filling factor nu=5/2 being unpolarized.

References in corpus (3)

• Particle-hole symmetry and the Pfaffian state
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Skyrmions in the Moore-Read state at nu=5/2

Cited by in corpus (45)

• Majorana Zero Modes and Topological Quantum Computation
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• A Stable Pfaffian State in Bilayer Graphene
• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• Experimental probe of topological orders and edge excitations in the second Landau level
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Direct observation of composite fermions and their fully spin-polarized Fermi sea near $\nu =5/2$
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• Enhancement of the $\nu =5/2$ Fractional Quantum Hall State in a Small In-Plane Magnetic Field
• Variational Monte Carlo study of spin polarization stability of fractional quantum Hall states against realistic effects in half-filled Landau levels
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Complete spin phase diagram of the fractional quantum Hall liquid
• Energy Gap and Spin Polarization in the 5/2 Fractional Quantum Hall Effect
• Entanglement Measures for Quasi-Two-Dimensional Fractional Quantum Hall States
• Optical emission spectroscopy study of competing phases of electrons in the second Landau level
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
• Assessment of approaches for dispersive forces employing graphone as a case study
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Two-component parton fractional quantum Hall state in graphene
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Splitting of roton minimum in the ν=5/2 Moore-Read state
• A Platform for Far-Infrared Spectroscopy of Quantum Materials at Millikelvin Temperatures
• Charged spin textures over the Moore-Read quantum Hall state
• Simultaneous Measurement of Resistively and Optically Detected Nuclear Magnetic Resonance in the $\nu =2/3$ Fractional Quantum Hall Regime
• Evidence of inter-layer interaction in magneto-luminescence spectra of electron bilayers
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• Competing quantum Hall phases in the second Landau level in low density limit