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Spin nematic order in multiple-spin exchange models on the triangular lattice.
Tsutomu Momoi1, Philippe Sindzingre, Kenn Kubo
1Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan.
Physical Review Letters
|March 10, 2012
Summary
The ground state of solid helium-3 thin films exhibits octahedral spin nematic order. A magnetic field induces antiferroquadrupolar order and a magnetization plateau, consistent with experimental findings.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Thin film materials
Background:
- Solid helium-3 thin films are a rich platform for studying quantum magnetism.
- Understanding the magnetic phases and transitions in these systems is crucial for fundamental physics.
Purpose of the Study:
- To investigate the ground state and magnetic field response of a multiple-spin exchange model for solid {3}He thin films.
- To elucidate the nature of spin order and magnetization behavior.
Main Methods:
- Theoretical analysis of a multiple-spin exchange model.
- Investigation of spin nematic and antiferroquadrupolar orders.
- Examination of magnetization curves under magnetic fields.
Main Results:
- The ground state is identified as an octahedral spin nematic order.
- A magnetic field induces an antiferroquadrupolar order, breaking lattice Z{3} rotational symmetry.
- A narrow magnetization plateau at m/m{sat}=1/2 is predicted, matching experimental observations.
Conclusions:
- The multiple-spin exchange model accurately describes the magnetic properties of solid {3}He thin films.
- The predicted spin orders and magnetization plateau provide insights into the complex magnetic behavior of this system.
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