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The Hall Effect01:30

The Hall Effect

Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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: 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,...
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...
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...
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...

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Related Experiment Video

Updated: Jun 3, 2026

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Published on: January 21, 2016

Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.

M Hohenadler1, T C Lang, F F Assaad

  • 1Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.

Physical Review Letters
|April 8, 2011
PubMed
Summary
This summary is machine-generated.

The Hubbard interaction in the Kane-Mele model creates magnetic ordering beyond a critical value. It suppresses edge currents and promotes magnetism in quantum spin-Hall states, but preserves single-particle signatures.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases

Background:

  • The Kane-Mele model describes topological insulators with spin-orbit interaction.
  • The Hubbard U term introduces electron-electron interactions.
  • Understanding their interplay is crucial for novel quantum states.

Purpose of the Study:

  • To map the phase diagram of the Kane-Mele model with a Hubbard U term.
  • To investigate the stability of quantum spin liquid and spin-Hall insulating states.
  • To analyze the dynamics in the quantum spin-Hall state under Hubbard interaction.

Main Methods:

  • Projective auxiliary field quantum Monte Carlo simulations.
  • Analysis of spin, charge, and single-particle dynamics.
  • Modeling ribbon edges to study edge-specific phenomena.

Main Results:

  • The quantum spin liquid is robust against weak spin-orbit interaction.
  • Both quantum spin liquid and spin-Hall insulating states become unstable towards magnetic ordering beyond a critical Hubbard interaction (U > U(c)).
  • Hubbard interaction on ribbon edges suppresses charge currents, promotes edge magnetism, but preserves helical liquid single-particle signatures.

Conclusions:

  • The quantum spin liquid and spin-Hall insulating states have distinct topological properties.
  • Electron-electron interactions significantly alter the phase diagram and dynamics of topological insulators.
  • Edge states in topological materials exhibit unique behaviors under interaction effects.