Article

# Measurements of quasiparticle tunneling in the υ= 5/2 fractional quantum Hall state

International Center for Quantum Materials, Peking University, 100871, Beijing, P.R. China; Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts, USA; Department of Electrical Engineering, Princeton University, 08544, Princeton, New Jersey, USA

Physical review. B, Condensed matter (Impact Factor: 3.66). 04/2012; 85(16). DOI: 10.1103/PhysRevB.85.165321 - [Show abstract] [Hide abstract]

**ABSTRACT:**Two recent experiments [I. P. Radu et al., Science 320, 899 (2008) and X. Lin et al., Phys. Rev. B 85, 165321 (2012)] measured the temperature and voltage dependence of the quasiparticle tunneling through a quantum point contact in the \nu= 5/2 quantum Hall liquid. The results led to conflicting conclusions about the nature of the quantum Hall state. In this paper, we show that the conflict can be resolved by recognizing different geometries of the devices in the experiments. We argue that in some of those geometries there is significant unscreened electrostatic interaction between the segments of the quantum Hall edge on the opposite sides of the point contact. Coulomb interaction affects the tunneling current. We compare experimental results with theoretical predictions for the Pfaffian, SU(2)_2, 331 and K=8 states and their particle-hole conjugates. After Coulomb corrections are taken into account, measurements in all geometries agree with the spin-polarized and spin-unpolarized Halperin 331 states.Physical review. B, Condensed matter 06/2013; 88(8). · 3.66 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We discuss the orbital effect of a tilted magnetic field on the quantum Hall effect in parabolic quantum wells. Many-body states realized at the fractional 1/3 and 1/2 filling of the second electronic subband are studied using finite-size exact diagonalization. In both cases, we obtain the phase diagram consisting of a fractional quantum Hall fluid phase that persists for moderate tilts, and eventually undergoes a direct transition to the stripe phase. It is shown that tilting of the field probes the geometrical degree of freedom of fractional quantum Hall fluids, and can be partly related to the effect of band-mass anisotropy.Physical review. B, Condensed matter 06/2013; 87(24). · 3.66 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/f noise and dissipation are considered for both the Laughlin sequence and the composite co- and counter-propagating edge states with Abelian or non-Abelian statistics. For states with counter-propagating modes, we demonstrate the robustness of the proposed mechanism in the so-called disorder-dominated phase. Prototypes of these states, such as ν = 2/3 and ν = 5/2, are discussed in detail, and the rich phenomenology induced by the presence of a noisy environment is presented. The proposed mechanism could help justify the strong renormalizations reported in many experimental observations carried out at low temperatures. We show how environmental effects could affect the relevance of the tunnelling excitations, leading to important implications, in particular for the ν = 5/2 case.New Journal of Physics 09/2012; 14(9):093032. · 3.67 Impact Factor

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