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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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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...
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The Pauli Exclusion Principle03:06

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

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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...
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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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...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Perfect Zeeman Anisotropy in Rotationally Symmetric Quantum Dots with Strong Spin-Orbit Interaction.

Markus Aspegren1, Lila Chergui2, Mikelis Marnauza3

  • 1Solid State Physics and NanoLund, Lund University, SE-221 00 Lund, Sweden.

Nano Letters
|June 17, 2024
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Researchers demonstrate tunable control over electron spin and orbital states in semiconductor quantum dots by manipulating rotational symmetry. This offers new possibilities for protecting and interacting spin-orbital states in quantum computing applications.

Keywords:
Zeeman effectquantum dotquantum ringspin−orbit interactionsymmetry

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Nanotechnology

Background:

  • Rotational symmetry in nanoscale structures, like quantum rings, influences electron orbital motion and spin-orbit interactions.
  • This interaction can lead to strong, anisotropic Zeeman effects, offering potential for magnetic property manipulation.
  • Electric fields can break symmetry, impacting magnetic properties in ring-like geometries.

Purpose of the Study:

  • To investigate the formation of rotationally symmetric confinement potentials in semiconductor quantum dots.
  • To explore the resulting electron orbitals' large orbital angular momentum and strong spin-orbit interactions.
  • To analyze the Zeeman effect's behavior under varying symmetry conditions and its implications for spin-qubits.

Main Methods:

  • Fabrication of semiconductor quantum dots with rotationally symmetric confinement potentials.
  • Application of magnetic fields in various orientations relative to the quantum dot plane.
  • Introduction of symmetry-breaking electric fields to modulate orbital interactions.

Main Results:

  • Complete suppression of Zeeman spin splitting was observed for magnetic fields applied in the quantum dot plane.
  • Spin splitting reappeared upon activation of orbital interactions via symmetry-breaking electric fields.
  • Demonstrated modulation of rotational symmetry to control spin-orbital interactions in a two-electron system.

Conclusions:

  • Semiconductor quantum dots can host electron orbitals with large angular momentum and strong spin-orbit interactions, mimicking quantum ring behavior.
  • Tunable suppression and reappearance of Zeeman spin splitting by controlling symmetry offer a novel approach.
  • Modulating rotational symmetry presents new prospects for tunable protection and interaction of spin-orbital states, relevant for spin-qubit development.