Sungkyunkwan University
Yun-Tak Oh, Hyunyong Lee, Jin-Hong Park, Jung Hoon Han,
Backgrounds
Fert et al, Nature Nanotech. (2013)
Tokunaga et al, Arxiv (2015)
Backgrounds
Holstein-Primakoff boson approach
NLσM
DM
Zeeman
Nagaosa & Tokura Nature Nanotech. (2013)
Holstein & Primakoff Phys. Rev. (1940)
Holstein-Primakoff boson approach
NLσM
DM
Zeeman
Rotating frame scheme
Vector potential emerges!
Holstein-Primakoff boson approach
Hamiltonian for the Holstein-Primakoff boson
Holstein-Primakoff boson approach
Heisenberg equation for HP bosons
•Non-Abelian vector potential (a1, a2, a3) emerges
•Effective magnetic field
Magnon-Skyrmion scattering
One sets the background spin configuration to be a Skyrmion
to explore magnon-Skyrmion scattering
R:Skyrmion radius
Han et al, PRB (2010)
Different from the
previous research !
Iwasaki et al,
PRB (2014)
Magnon-Skyrmion scattering
One sets the background spin configuration to be a Skyrmion
to explore magnon-Skyrmion scattering
•Scattering angle is changed as
“κR” crosses the threshold
value 1
κR<1
κR=1
κR>1
Magnon-Skyrmion scattering
LLG simulations to confirm the HP theory
LLG equation
κR=0.9
κR=1.5
κR=2
•We observed that the scattering angle has tendency to
change the direction as “κR” increases
•Skyrmion radius dependence of magnon Hall effect is possible
• We establish the HP boson theory for
“NLσM”+“DM”+“Zeeman” term
• We investigated the nature of magnon-Skyrmion
scattering; scattering angle varies by “κR” crossing
the threshold value “1”
• Numerical simulations support our results