$\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$

Abstract

Muon spin relaxation and rotation ($\mu$SR) experiments on single crystals of the structurally perfect triangular antiferromagnet YbMgGaO${}_4$ indicate the absence of both static long-range magnetic order and spin freezing down to 0.048 K in zero field. Below 0.4 K, the ${\mu }^{+}$ spin relaxation rates, which are proportional to the dynamic correlation function of the Yb${}^{3+}$ spins,exhibit temperature-independent plateaus. Same behavior is revealed by temperature-independent local susceptibilities extracted from the Knight shifts of the ${\mu }^{+}$ spin rotation frequencies under a transverse field of 20 Oe. All these $\mu$SR results unequivocally support the formation of a gapless U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$.

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References in corpus (10)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
• Power-law Conductivity inside the Mott gap: application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• $\mu$SR study of the quantum dynamics in the frustrated $S=3/2$ kagome bilayers
• Optical conductivity and surface plasmon modes of U(1) spin liquid states with large spinon Fermi surfaces

Cited by in corpus (38)

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• Quantum spin liquid ground state in the disorder free triangular lattice NaYbS${}_2$
• Field-induced magnetic transition and spin fluctuation in quantum spin liquid candidate CsYbSe${}_2$
• A Class of Compounds Featuring Frustrated Triangular Magnetic Lattice CsRESe${}_2$ (RE=La-Lu): Quantum Spin-Liquid Candidates
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• Investigation of spin-phonon coupling and local magnetic properties in magnetoelectric Fe2TeO6
• Studies on Novel Yb-based Candidate Triangular Quantum Antiferromagnets: Ba3YbB3O9 and Ba3YbB9O18
• Effects of the Crystalline Electric Field in the $KErT{e}_2$ Quantum Spin Liquid Candidate