Spin liquids meet spin nematics in the S=1 Kitaev model with bilinear-biquadratic interactions
ORAL · Invited
Abstract
New discoveries are often made at the intersection of different disciplines. One major area of research focuses on quantum spin liquids--an unconventional state of matter characterized by emergent gauge fields, topological order, and fractionalized excitations [1]. Another intriguing concept is that of spin nematics, a magnetically ordered state dominated by quadrupole moments, which breaks spin-rotation symmetry by selecting an axis without choosing a specific direction [2]. Usually seen as two separate areas of study, we are interested in connecting those disciplines by asking: “What happens when a spin liquid and a spin nematic meet?”
To address this question, we adopt the recently developed U(3) formalism [3] to investigate the S=1 Kitaev model with bilinear-biquadratic interactions. Our study reveals a comprehensive phase diagram featuring triple-q chiral and quadrupolar ordered phases, alongside already known ferro, antiferro, zigzag, and stripy phases [4,5]. Intriguingly, the competition between Kitaev and positive biquadratic interactions stabilizes a novel Z2 chiral spin liquid state, which is transparently understood through an effective eight-color model and its associated lattice gauge theory [6].
[1] L. Balents, Nature 464, 199 (2010).
[2] K. Penc, A. M. Läuchli (2011). Spin Nematic Phases in Quantum Spin Systems. In: C. Lacroix, P. Mendels, F. Mila, (eds) Introduction to Frustrated Magnetism. (Springer Series in Solid-State Sciences, vol 164. Springer, Berlin, Heidelberg).
[3] K. Remund, R. Pohle, Y. Akagi, J. Romhányi, and N. Shannon, Phys. Rev. Research 4, 033106 (2022).
[4] R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. B 107, L140403 (2023).
[5] R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. Research 6, 033077 (2024).
[6] H. Yan, R. Pohle, arXiv:2409.04061.
To address this question, we adopt the recently developed U(3) formalism [3] to investigate the S=1 Kitaev model with bilinear-biquadratic interactions. Our study reveals a comprehensive phase diagram featuring triple-q chiral and quadrupolar ordered phases, alongside already known ferro, antiferro, zigzag, and stripy phases [4,5]. Intriguingly, the competition between Kitaev and positive biquadratic interactions stabilizes a novel Z2 chiral spin liquid state, which is transparently understood through an effective eight-color model and its associated lattice gauge theory [6].
[1] L. Balents, Nature 464, 199 (2010).
[2] K. Penc, A. M. Läuchli (2011). Spin Nematic Phases in Quantum Spin Systems. In: C. Lacroix, P. Mendels, F. Mila, (eds) Introduction to Frustrated Magnetism. (Springer Series in Solid-State Sciences, vol 164. Springer, Berlin, Heidelberg).
[3] K. Remund, R. Pohle, Y. Akagi, J. Romhányi, and N. Shannon, Phys. Rev. Research 4, 033106 (2022).
[4] R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. B 107, L140403 (2023).
[5] R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. Research 6, 033077 (2024).
[6] H. Yan, R. Pohle, arXiv:2409.04061.
*This work was supported by JSPS KAKENHI Grant Nos. JP19H05822, JP19H05825, and 24K22856, the Theory of Quantum Matter Unit, OIST, and MEXT as "Program for Promoting Researches on the Supercomputer Fugaku" (Grant No. JPMXP1020230411).
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Publication: R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. B 107, L140403 (2023).
R. Pohle, N. Shannon, and Y. Motome, Phys. Rev. Research 6, 033077 (2024).
H. Yan, R. Pohle, arXiv:2409.04061.
Presenters
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Rico Pohle
- Tohoku University