Bulletin of the American Physical Society
APS March Meeting 2021
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session C38: Spin Dynamics and Excitations
3:00 PM–6:00 PM,
Monday, March 15, 2021
Sponsoring Units: GMAG DMP FIAP
Chair: Shawn Pollard , University of Memphis
Abstract: C38.00002 : Equations of motions for spin-1 magnets — a u(3) formalism, suitable to investigate dynamical and thermodynamical properties*
3:12 PM–3:24 PM
(The University of Tokyo)
(University of California Irvine)
However, those phases are invisible to conventional probing and require special theoretical tools, in order to interpret and understand their ground state and excitation properties. [Andreev84, Barzykin91]
In this talk, we extend the commonly used su(3) algebra for spin-1 moments to the u(3) Algebra [Papanicolaou88], treating dipolar and quadrupolar degrees of freedom on an equal footing, and derive equations of motion, which take a simple form and are well suited for numerical implementation.
Illustrating our new method to the ferro-quadrupolar phase of the spin-1 bilinear-biquadratic Hamiltonian on the triangular lattice [Lauchli06], we successfully match zero-temperature flavor-wave theory to classical low-temperature expansion results, enabling us to accurately describe the implementation of our method to classical Monte Carlo and Molecular Dynamics simulations. Moreover, through simulations, we discovered the existence of a vortex bound state pair phase at finite temperature, allowing us to study topological defects in spin nematics.
*1.Theory of Quantum Matter Unit, OIST
2.KAKENHI Grant No. JP19H0582*
3.KAKENHI Grant No. JP20H05154
The American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics.
1 Physics Ellipse, College Park, MD 20740-3844
Editorial Office 1 Research Road, Ridge, NY 11961-2701 (631) 591-4000
Office of Public Affairs 529 14th St NW, Suite 1050, Washington, D.C. 20045-2001 (202) 662-8700