“Spin-1 Magnets: a u(3) Formalism”
Event details
| Date | 16.02.2023 |
| Hour | 16:15 › 17:15 |
| Speaker | Kimberly Remund |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Systems based on spin-1 moments exhibit many fascinating
properties, as demonstrated by spin nematics [1,2], Fe-based
superconductors [3], and cold atom systems [4]. However, because spin-1
moments besides displaying dipoles can also support quadrupoles at
the level of a single site, they are not properly described by O(3)
vectors, even in the classical limit.
In this talk, we explore a new approach which correctly describes the
(semi-)classical physics of spin-1 moments [5]. This approach, based on the
algebra u(3) [6], provides a convenient starting point for Monte Carlo and molecular dynamics
simulations, as well as for analytic theory. We benchmark our method
by applying it to the ferroquadrupolar phase of the spin-1 bilinearbiquadratic
model on the triangular lattice [5], reproducing andextending known results [1,2].
These results open the prospect of exploring dynamical properties of spin-1
magnets which lie outside the spin-wave paradigm, including spin-liquid
phases, and the dynamics of topological excitations.
[1] H. Tsunetsugu and M. Arikawa, J. Phys. Soc. Jpn 75, 083701 (2006)
[2] A. Laeuchli et al, Phys. Rev. Lett. 97, 087205 (2006)
[3] R. M. Fernandes et al., Nature Physics 10, 97 EP (2014)
[4] E. Demler and F. Zhou, Phys. Rev. Lett. 88, 163001 (2002)
[5] K. Remund et al., Phys. Rev. Research 4 033106 (2022)
[6] N. Papanicolaou, Nuclear Physics B 305, 367 (1988)
properties, as demonstrated by spin nematics [1,2], Fe-based
superconductors [3], and cold atom systems [4]. However, because spin-1
moments besides displaying dipoles can also support quadrupoles at
the level of a single site, they are not properly described by O(3)
vectors, even in the classical limit.
In this talk, we explore a new approach which correctly describes the
(semi-)classical physics of spin-1 moments [5]. This approach, based on the
algebra u(3) [6], provides a convenient starting point for Monte Carlo and molecular dynamics
simulations, as well as for analytic theory. We benchmark our method
by applying it to the ferroquadrupolar phase of the spin-1 bilinearbiquadratic
model on the triangular lattice [5], reproducing andextending known results [1,2].
These results open the prospect of exploring dynamical properties of spin-1
magnets which lie outside the spin-wave paradigm, including spin-liquid
phases, and the dynamics of topological excitations.
[1] H. Tsunetsugu and M. Arikawa, J. Phys. Soc. Jpn 75, 083701 (2006)
[2] A. Laeuchli et al, Phys. Rev. Lett. 97, 087205 (2006)
[3] R. M. Fernandes et al., Nature Physics 10, 97 EP (2014)
[4] E. Demler and F. Zhou, Phys. Rev. Lett. 88, 163001 (2002)
[5] K. Remund et al., Phys. Rev. Research 4 033106 (2022)
[6] N. Papanicolaou, Nuclear Physics B 305, 367 (1988)
Practical information
- Informed public
- Free
Organizer
- Prof. Frédéric Mila
Contact
- Milena Martinicchio