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Principal Chiral Model in Correlated Electron Systems.
Cristian D Batista1,2, Mikhail Shifman3, Zhentao Wang1
1Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA.
Physical Review Letters
|December 15, 2018
Summary
We explore noncollinear magnetic phenomena using sigma models. Our findings describe a new class of models for 2D triangular and 3D pyrochlore lattices, bridging Heisenberg and chiral models.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Theoretical physics
Background:
- Noncollinear magnetic phenomena exhibit complex spin arrangements.
- Understanding their low-energy behavior is crucial for materials science.
- Lattices like triangular and pyrochlore host exotic magnetic states.
Purpose of the Study:
- To investigate noncollinear magnetic phenomena.
- To develop a theoretical framework for their low-energy theories.
- To explore the relationship between different magnetic models.
Main Methods:
- Utilizing one-parametric sigma models.
- Analyzing 2D triangular and 3D pyrochlore lattice models.
- Investigating the continuous interpolation between Heisenberg and principal chiral models.
- Examining the target space as a U(1) fibration over CP(1).
Main Results:
- A one-parametric class of sigma models describes the low-energy physics.
- These models continuously interpolate between the classical Heisenberg and principal chiral models for SU(2) spin systems.
- The target space geometry is identified as a U(1) fibration over CP(1).
- Generalization of the 3D model allows for breaking of SO(3)×SO(3) symmetry.
Conclusions:
- The developed sigma models provide a unified description of noncollinear magnetism on specific lattices.
- This framework offers new insights into the fundamental properties of quantum magnets.
- The model's flexibility allows for studying symmetry-breaking effects in magnetic systems.
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