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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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. This...
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.
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR

The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.

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Related Experiment Video

Updated: Jun 8, 2026

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
10:36

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Published on: January 21, 2016

Energy relaxation in the integer quantum Hall regime.

H le Sueur1, C Altimiras, U Gennser

  • 1CNRS, Laboratoire de Photonique et de Nanostructures (LPN)-Phynano team, route de Nozay, 91460 Marcoussis, France.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Researchers studied energy transfer in quantum Hall effect edge channels. They found efficient energy redistribution without particle exchange, challenging existing models of quantum excitations.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Electronics

Background:

  • The integer quantum Hall effect (IQHE) exhibits quantized Hall resistance and edge states.
  • Edge channels in IQHE are typically described as one-dimensional systems with specific quasiparticle excitations.

Purpose of the Study:

  • To investigate energy exchange dynamics between co-propagating edge channels in the IQHE.
  • To explore the nature of energy relaxation and distribution in these quantum channels.

Main Methods:

  • Utilizing the integer quantum Hall regime at a filling factor of νL=2.
  • Driving one of two edge channels out of equilibrium.
  • Measuring the electronic energy distribution in the outer channel over propagation lengths from 0.8 to 30 μm.

Main Results:

  • Observed efficient energy redistribution between the two edge channels without particle exchange.
  • Found no discernible energy transfer to thermalized states.
  • Measured a hot Fermi-Dirac distribution at long distances (L≥10 μm) with a lower-than-expected temperature, suggesting additional degrees of freedom.

Conclusions:

  • The findings indicate efficient inter-channel energy transfer, challenging the localization of quantum Hall excitations within single edge channels.
  • The observed energy distribution suggests the involvement of unconsidered degrees of freedom in energy relaxation processes.
  • The short energy relaxation length implies a breakdown of conventional quasiparticle descriptions in edge channels over extended propagation distances.