Related Experiment Video
Updated: Aug 9, 2026
07:37
Revealing Dynamic Processes of Materials in Liquids Using Liquid Cell Transmission Electron Microscopy
Published on: December 20, 2012
Spin mass of an electron liquid
Zhixin Qian1, Giovanni Vignale, D C Marinescu
1Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA.
Physical Review Letters
|September 28, 2004
Summary
Calculating spin current in electron liquids requires a larger effective "spin mass" (m(s)) than band mass (m(b)) or quasiparticle effective mass (m(*)). This spin mass enhancement is greater in 2D than 3D electron systems.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Materials science
Background:
- Understanding electron behavior in condensed matter is crucial for developing advanced electronic devices.
- The accurate calculation of spin current, charge current, and heat capacity in electron liquids relies on distinct effective mass parameters.
- Previous models often used simplified mass parameters, potentially leading to inaccuracies in spin-related transport phenomena.
Purpose of the Study:
- To determine the correct effective mass parameter for calculating spin current in electron liquids.
- To investigate the relationship between spin mass, band mass, and quasiparticle effective mass.
- To quantify the spin mass enhancement in both two- and three-dimensional electron liquids.
Main Methods:
- Utilizing previously calculated Landau parameters for electron liquids.
- Applying a recent theoretical framework for the dynamical local field factor in the spin channel.
- Calculating two independent estimates for the spin mass enhancement ratio (m(s)/m(b)).
Main Results:
- An effective "spin mass" (m(s)) is necessary for accurate spin current calculations, and it is larger than both the band mass (m(b)) and quasiparticle effective mass (m(*)).
- Both estimation methods confirm a significant enhancement of the spin mass.
- The spin mass enhancement is found to be more pronounced in two-dimensional electron liquids compared to three-dimensional systems.
Conclusions:
- The concept of an enhanced "spin mass" is essential for correctly describing spin transport in electron liquids.
- The study provides quantitative estimates for spin mass enhancement, offering valuable data for theoretical and experimental condensed matter physicists.
- The dimensionality of the electron liquid significantly influences the spin mass enhancement, with 2D systems exhibiting a larger effect.
Related Concept Videos
03:06The Pauli Exclusion Principle
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:
01:08Atomic Nuclei: Nuclear Spin
All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
00:59Atomic Nuclei: Nuclear Magnetic Moment
All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
01:03Atomic 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...
01:14Atomic 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.
01:23Magnetic Moment of an Electron
Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...