Related Experiment Video
Updated: Jul 11, 2026
09:25
Fabricating van der Waals Heterostructures with Precise Rotational Alignment
Published on: July 5, 2019
Pinning modes and interlayer correlation in high-magnetic-field bilayer Wigner solids
Zhihai Wang1, Yong P Chen, L W Engel
1National High Magnetic Field Laboratory, 1800 East Paul Dirac Drive, Tallahassee, Florida 32310, USA.
Physical Review Letters
|October 13, 2007
Summary
Studies reveal interlayer quantum correlations in bilayer Wigner solids at small separations. Resonance frequencies near specific fillings suggest connections to fractional quantum Hall effects.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
Background:
- Wigner solids form at low temperatures and high magnetic fields.
- Bilayer systems offer unique opportunities to study quantum correlations.
Purpose of the Study:
- Investigate pinning mode resonances in bilayer Wigner solids.
- Explore the impact of interlayer separation on quantum correlations.
- Understand the role of correlations in fractional quantum Hall effects.
Main Methods:
- Fabrication of bilayer hole samples with controlled interlayer separation.
- In situ biasing to create single-layer and bilayer states.
- Measurement of pinning mode resonances.
Main Results:
- Observed interlayer quantum correlation in bilayer Wigner solids at small interlayer separations.
- Decreased resonance frequencies near Landau filling factors nu = 1/2 and 2/3.
- Evidence of correlations analogous to those in fractional quantum Hall states.
Conclusions:
- Interlayer coupling significantly influences Wigner solid properties.
- Correlations related to fractional quantum Hall effects are present in bilayer Wigner solids.
More Related Videos
Related Concept Videos
02:42Valence Bond Theory
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
01:03Atomic Nuclei: Nuclear Spin State Overview
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
01:20Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
01:17Spin–Spin Coupling: One-Bond Coupling
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
01:08Spin–Spin Coupling Constant: Overview
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
01:18Magnetic Field Due to Two Straight Wires
Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.