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.

arXiv comment4 pages, 5 figures; modified version as appears in PRB

References in corpus (16)

• 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
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• 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
• Topological Entanglement and Clustering of Jain Hierarchy States
• Possibility of p-wave pairing of composite fermions at $\nu =1/2$
• 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
• Stability and effective masses of composite-fermions in the first and second Landau Level
• Entanglement signatures of quantum Hall phase transitions
• Possible Pairing-Induced Even-Denominator Fractional Quantum Hall Effect in the Lowest Landau Level
• Fractional quantum Hall state at ν=1/4 in a wide quantum well

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• Phase Diagrams for the $\nu$ = 1/2 Fractional Quantum Hall Effect in Electron Systems Confined to Symmetric, Wide GaAs Quantum Wells
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
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• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Pomeranchuk Instability of Composite Fermi Liquids
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• A Typology for Quantum Hall Liquids
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• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
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• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Correlation-hole induced paired quantum Hall states in lowest Landau level
• Non-quasiconvex dispersion of composite fermions and the fermionic Haffnian state in the first-excited Landau level
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