Composite-fermion crystallites in quantum dots

Abstract

The correlations in the ground state of interacting electrons in a two-dimensional quantum dot in a high magnetic field are known to undergo a qualitative change from liquid-like to crystal-like as the total angular momentum becomes large. We show that the composite-fermion theory provides an excellent account of the states in both regimes. The quantum mechanical formation of composite fermions with a large number of attached vortices automatically generates omposite fermion crystallites in finite quantum dots.

5 pages, 3 figures

References in corpus (3)

• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
• Two-dimensional electron system in high magnetic fields: Wigner crystal vs. composite-fermion liquid

Cited by in corpus (16)

• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Competing Crystal Phases in the Lowest Landau Level
• Structural properties of electrons in quantum dots in high magnetic fields: Crystalline character of cusp states and excitation spectra
• Universal vortex formation in rotating traps with bosons and fermions
• Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings
• Semiconductor quantum dots in high magnetic fields: The composite-fermion view
• Vortex localization in rotating clouds of bosons and fermions
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
• A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
• Analytical Theory of Strongly Correlated Wigner Crystals in the Lowest Landau Level
• Dependence of the vortex structure in quantum dots on the range of the inter-electron interaction
• Universality of Many-Body States in Rotating Bose and Fermi Systems
• Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime