Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems

Abstract

We analyze transitions between quantum Hall ground states at prominent filling factors $\nu$ in the spherical geometry by tuning the width parameter of the Zhang-Das Sarma interaction potential. We find that incompressible ground states evolve adiabatically under this tuning, whereas the compressible ones are driven through a first order phase transition. Overlap calculations show that the resulting phase is increasingly well described by appropriate analytic model wavefunctions (Laughlin, Moore-Read, Read-Rezayi). This scenario is shared by both odd ($\nu =1/3,1/5,3/5,7/3,11/5,13/5$) and even denominator states ($\nu =1/2,1/4,5/2,9/4$). In particular, the Fermi liquid-like state at $\nu =1/2$ gives way, at large enough value of the width parameter, to an incompressible state identified as the Moore-Read Pfaffian on the basis of its entanglement spectrum.

4 pages, 5 figures; modified version as appears in PRB

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Fractional Quantum Hall States and Jack Polynomials
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Paired composite fermion wavefunctions
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well
• Entanglement signatures of quantum Hall phase transitions
• Fractional quantum Hall state at ν=1/4 in a wide quantum well

Cited by in corpus (6)

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• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Subband Engineering Even-Denominator Quantum Hall States