TY - JOUR
T1 - Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
AU - Vijayvargia, Aayush
AU - Nica, Emilian Marius
AU - Moessner, Roderich
AU - Lu, Yuan Ming
AU - Erten, Onur
N1 - Funding Information:
Acknowledgments. We thank Nandini Trivedi and Natalia Perkins for fruitful discussions. O.E. acknowledges support from the NSF Award No. DMR 2234352. Y.M.L. is supported by the NSF under Award No. DMR 2011876. E.M.N. acknowledges support by the NSF under Grant No. DMR-2220603. This work in part supported by the Deutsche Forschungsgemeinschaft (DFG) via SFB 1143 (project-id 247310070) and cluster of excellence ct.qmat (EXC 2147, project-id 390858490).
Publisher Copyright:
© 2023 authors. Published by the American Physical Society.
PY - 2023/4
Y1 - 2023/4
N2 - We study the phase diagram of a bilayer quantum spin liquid model with Kitaev-type interactions on a square lattice. We show that the low energy limit is described by a π-flux Hubbard model with an enhanced SO(4) symmetry. The antiferromagnetic Mott transition of the Hubbard model signals a magnetic fragmentation transition for the spin and orbital degrees of freedom of the bilayer. The fragmented "Néel order"features a nonlocal string order parameter for an in-plane Néel component, in addition to an anisotropic local order parameter. The associated quantum order is characterized by an emergent Z2×Z2 gauge field when the Néel vector is along the ẑ direction, and a Z2 gauge field otherwise. We underpin these results with a perturbative calculation, which is consistent with the field theory analysis. We conclude with a discussion on the low energy collective excitations of these phases and show that the Goldstone boson of the Z2×Z2 phase is fractionalized and nonlocal.
AB - We study the phase diagram of a bilayer quantum spin liquid model with Kitaev-type interactions on a square lattice. We show that the low energy limit is described by a π-flux Hubbard model with an enhanced SO(4) symmetry. The antiferromagnetic Mott transition of the Hubbard model signals a magnetic fragmentation transition for the spin and orbital degrees of freedom of the bilayer. The fragmented "Néel order"features a nonlocal string order parameter for an in-plane Néel component, in addition to an anisotropic local order parameter. The associated quantum order is characterized by an emergent Z2×Z2 gauge field when the Néel vector is along the ẑ direction, and a Z2 gauge field otherwise. We underpin these results with a perturbative calculation, which is consistent with the field theory analysis. We conclude with a discussion on the low energy collective excitations of these phases and show that the Goldstone boson of the Z2×Z2 phase is fractionalized and nonlocal.
UR - http://www.scopus.com/inward/record.url?scp=85164276399&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85164276399&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.5.L022062
DO - 10.1103/PhysRevResearch.5.L022062
M3 - Article
AN - SCOPUS:85164276399
SN - 2643-1564
VL - 5
JO - Physical Review Research
JF - Physical Review Research
IS - 2
M1 - L022062
ER -