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Related Concept Videos

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.
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic 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...
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...
Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals01:17

Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals

Ideally, an unpaired electron shows a single peak in the EPR spectrum due to the transition between the two spin energy states. However, coupling interactions can occur between the spins of the unpaired electron and any neighboring spin-active nuclei. This hyperfine coupling results in hyperfine splitting, where the EPR signal is split into multiplets. The signals split into 2nI + 1 peaks, where n is the number of equivalent nuclei and I is the nuclear spin. These splitting patterns provide...
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...
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...

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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Phonon-drag magnetothermopower in Rashba spin-split two-dimensional electron systems.

Tutul Biswas1, Tarun Kanti Ghosh

  • 1Department of Physics, Indian Institute of Technology-Kanpur, Kanpur-208 016, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 20, 2013
PubMed
Summary

The phonon-drag thermopower in a GaAs/AlGaAs heterostructure splits into two peaks due to Rashba spin-orbit interaction. This study numerically analyzes its dependence on magnetic field and temperature.

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Area of Science:

  • Condensed Matter Physics
  • Solid State Physics
  • Materials Science

Background:

  • Thermoelectric power is crucial for energy harvesting and cooling technologies.
  • Phonon-drag effect significantly influences thermoelectric properties in low-dimensional systems.
  • Spin-orbit interaction plays a key role in spintronic devices.

Purpose of the Study:

  • Investigate the phonon-drag contribution to thermoelectric power in a quasi-two-dimensional electron system.
  • Analyze the impact of Rashba spin-orbit interaction and magnetic fields on thermopower.
  • Determine the temperature and magnetic field dependencies of phonon-drag thermopower.

Main Methods:

  • Numerical simulation of thermoelectric power in GaAs/AlGaAs heterostructures.
  • Analysis of phonon-drag thermopower under varying Rashba spin-orbit coupling, magnetic field, and temperature.
  • Extraction of temperature dependence exponents in the Bloch-Gruneisen regime.

Main Results:

  • Phonon-drag thermopower peaks split into two under strong Rashba spin-orbit coupling.
  • Numerical analysis reveals dependence on magnetic field and temperature.
  • A power-law temperature dependence of magnetothermopower is observed in the Bloch-Gruneisen regime.

Conclusions:

  • Rashba spin-orbit interaction directly causes the splitting of phonon-drag thermopower peaks.
  • The study quantifies the influence of electron density, magnetic field, and spin-orbit coupling on thermopower.
  • Findings provide insights into thermoelectric phenomena in low-dimensional systems with spin-orbit coupling.