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Spin polarization of the low-density three-dimensional electron gas
F H Zong1, C Lin, D M Ceperley
1Department of Physics and NCSA, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
Summary
We found a phase transition in electron gases at low densities, indicating partial spin polarization. This transition occurs at a specific density, r(s) approximately 50+/-2.
Area of Science:
- Condensed matter physics
- Quantum mechanics
Background:
- The behavior of three-dimensional electron gas (3DEG) at low densities is crucial for understanding electronic properties.
- Spin polarization significantly influences the collective behavior of electrons in materials.
Purpose of the Study:
- To investigate the spin polarization state of the 3DEG at very low densities and zero temperature.
- To identify phase transitions and their characteristics in this regime.
Main Methods:
- Diffusion quantum Monte Carlo (DMC) methods were employed to calculate energy versus spin polarization.
- Backflow wave functions and twist-averaged boundary conditions were utilized for accurate simulations.
- The Stoner model was used for effective mean-field estimations.
Main Results:
- A second-order phase transition to a partially polarized phase was identified at r(s) approximately 50+/-2.
- The study provides insights into the critical density for the onset of spin polarization.
Conclusions:
- The 3DEG transitions to a partially spin-polarized state at low densities.
- The findings contribute to the understanding of electron correlation and magnetism in low-density systems.