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Related Concept Videos

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–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...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–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,...
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...
Spin–Spin Coupling Constant: Overview01:08

Spin–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...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Josephson current through interacting double quantum dots with spin-orbit coupling.

Stephanie Droste1, Sabine Andergassen, Janine Splettstoesser

  • 1Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany. stephanie.droste@vuw.ac.nz

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

The Rashba spin-orbit interaction influences Josephson current in double quantum dots. Finite temperatures and orthogonal spin-orbit interaction can induce a π-phase, aiding experimental observation.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Computing
  • Spintronics

Background:

  • Josephson current in quantum dots is crucial for quantum computing.
  • Rashba spin-orbit interaction (SOI) significantly impacts electron spin dynamics.
  • Coulomb repulsion and magnetic fields introduce complex behaviors in quantum systems.

Purpose of the Study:

  • Investigate the influence of Rashba spin-orbit interaction on Josephson current.
  • Analyze its effects on magnetic field-induced singlet-triplet transitions in double quantum dots.
  • Explore parameter space including asymmetry, magnetic field orientation, and temperature.

Main Methods:

  • Theoretical modeling of Josephson current in a double quantum dot system.
  • Analysis of the singlet-triplet transition under various conditions.
  • Parameter space exploration including device asymmetry, magnetic field, and temperature.

Main Results:

  • Rashba SOI affects magnetic field-induced singlet-triplet transitions.
  • Device asymmetry and magnetic field orientation modify the system's behavior.
  • At finite temperatures, orthogonal Rashba SOI mimics Coulomb interaction, inducing a π-phase at particle-hole symmetry.

Conclusions:

  • Rashba spin-orbit interaction offers a new pathway for observing π-phases in quantum dots.
  • This finding is significant for advancing quantum information processing and spintronics.
  • Understanding these effects is key to designing robust quantum devices.