Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet

Nature

Volumn 492, Issue 7429, 2012, Pages 406-410

  Han, Tian Heng ^a   Helton, Joel S ^b   Chu, Shaoyan ^c   Nocera, Daniel G ^a   Rodriguez Rivera, Jose A ^b,d   Broholm, Collin ^b,e   Lee, Young S ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c Massachusetts Institute of Technology   (United States)

^d UNIVERSITY OF MARYLAND   (United States)

^e JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COPPER COMPLEX; HERBERTSMITHITE; MAGNETITE; UNCLASSIFIED DRUG;

FRACTIONAL CRYSTALLIZATION; HERBERTSMITHITE; QUANTUM MECHANICS; SUPERCONDUCTIVITY; TOPOLOGY;

ACCELERATION; ARTICLE; CRYSTAL STRUCTURE; ENERGY TRANSFER; MAGNETISM; NEUTRON SCATTERING; PRIORITY JOURNAL; QUANTUM CHEMISTRY; SUPERCONDUCTOR; TRANSITION TEMPERATURE;

EID: 84871405508     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature11659     Document Type: Article

References (30)

1. Balents, L. Spin liquids in frustrated magnets. Nature 464, 199-208 (2010).
2. Anderson, P. W. The resonating valence bond state in La2CuO4 and superconductivity. Science 235, 1196-1198 (1987).
3. Lee, P. A., Nagaosa, N., &. Wen, X.-G. Doping a Mott insulator: physics of hightemperature superconductivity. Rev. Mod. Phys. 78, 17-85 (2006).
4. Ioffe, L. B. et al. Topologically protected quantum bits using Josephson junction arrays. Nature 415, 503-506 (2002).
5. Tennant, D. A., Cowley, R. A., Nagler, S. E. & Tsvelik, A. M. Measurement of the spin excitation continuum in one-dimensional KCuF3 using neutron scattering. Phys. Rev. B 52, 13368-13380 (1995).
6. Sachdev, S. Kagome-and triangular-lattice Heisenberg antiferromagnets: ordering fromquantumfluctuations and quantum-disordered ground states with unconfined bosonic spinons. Phys. Rev. B 45, 12377-12396 (1992).
7. Elser, V. Nuclear antiferromagnetism in a registered 3He solid. Phys. Rev. Lett. 62, 2405-2408 (1989).
8. Lecheminant, P., Bernu, B., Lhuillier, C., Pierre, L. & Sindzingre, P. Order versus disorder in the quantumHeisenberg antiferromagnet on the kagomé lattice using exact spectra analysis. Phys. Rev. B 56, 2521-2529 (1997).
9. Shores, M. P., Nytko, E. A., Bartlett, B. M. & Nocera, D. G. A structurally perfect S51/2 kagomé antiferromagnet. J. Am. Chem. Soc. 127, 13462-13463 (2005).
10. Freedman, D. E. et al. Site specific X-ray anomalous dispersion of the geometrically frustrated kagomé magnet herbertsmithite, ZnCu3(OH)6Cl2. J. Am. Chem. Soc. 132, 16185-16190 (2010).
11. Helton, J. S. et al. Spin dynamics of the spin-1/2 kagome lattice antiferromagnet ZnCu3(OH)6Cl2. Phys. Rev. Lett. 98, 107204 (2007).
12. Mendels, P. et al. Quantum magnetism in the paratacamite family: towards an ideal kagomé lattice. Phys. Rev. Lett. 98, 077204 (2007).
13. de Vries, M. A. et al. Scale-free antiferromagnetic fluctuations in the S51/2 kagome antiferromagnet herbertsmithite. Phys. Rev. Lett. 103, 237201 (2009).
14. Zorko, A. et al. Dzyaloshinsky-Moriya anisotropy in the spin-1/2 kagome compound ZnCu3(OH)6Cl2. Phys. Rev. Lett. 101, 026405 (2008).
15. Han, T., Chu, S. & Lee, Y. S. Refining the spin Hamiltonian in the spin-1/2 kagome lattice antiferromagnet ZnCu3(OH)6Cl2 using single crystals. Phys. Rev. Lett. 108, 157202 (2012).
16. Yan, S., Huse, D. A. & White, S. R. Spin liquid ground state of the S51/2 kagome Heisenberg antiferromagnet. Science 332, 1173-1176 (2011).
17. Han, T. H. et al. Synthesis and characterization of single crystals of the spin-1/2 kagome-latticeantiferromagnetZnxCu4-x(OH)6Cl2. Phys. Rev. B83, 100402(R) (2011).
18. Imai, T., Fu, M., Han, T. H. & Lee, Y. S. Local spin susceptibility of the S51/2 kagome lattice in ZnCu3(OD)6Cl2. Phys. Rev. B 84, 020411(R) (2011).
19. Ofer, O., Keren, A., Brewer, J. H., Han, T. H. & Lee, Y. S. The herbertsmithite Hamiltonian: mSR measurements on single crystals. J. Phys. Condens. Matter 23, 164207 (2011).
20. Wulferding, D. et al. Interplay of thermal and quantum spin fluctuations in the kagome lattice compound herbertsmithite. Phys. Rev. B 82, 144412 (2010).
21. Birgeneau, R. J. et al. Instantaneous spin correlations in La2CuO4. Phys. Rev. B 59, 13788-13794 (1999).
22. Grohol, D. et al. Spin chirality on a two-dimensional frustrated lattice. Nature Mater. 4, 323-328 (2005).
23. Kivelson, S. A., Rokhsar, D. S. & Sethna, J. P. Topologyof the resonating valence-bond state: solitons and high-Tc superconductivity. Phys. Rev. B 35, 8865-8868 (1987).
24. Lovesey, S. W. Theory ofNeutron Scattering fromCondensedMatter (Clarendon, 1984).
25. Helton, J. S. et al. Dynamic scaling in the susceptibility of the spin-1/2 Kagome lattice antiferromagnet herbertsmithite. Phys. Rev. Lett. 104, 147201 (2010).
26. Matan, K. et al. Spin waves in the frustrated kagomé lattice antiferromagnet KFe3(OH)6(SO4)2. Phys. Rev. Lett. 96, 247201 (2006).
27. Hao, Z. & Tchernyshyov, O. Structure factor of low-energy spin excitations in a S51/2 kagome antiferromagnet. Phys. Rev. B 81, 214445 (2010).
28. Singh, R. R. P. & Huse, D. A. Triplet and singlet excitations in the valence bond crystal phase of the kagome lattice Heisenberg model. Phys. Rev. B 77, 144415 (2008).
29. Ran, Y., Hermele, M., Lee, P. A. & Wen, X.-G. Projectedwavefunction study of spin-1/2 Heisenberg model on the kagome lattice. Phys. Rev. Lett. 98, 117205 (2007).
30. Ryu, S., Motrunich, O. I., Alicea, J. & Fisher, M. P. A. Algebraic vortex liquid theory of a quantumantiferromagnet on the kagome lattice. Phys. Rev. B 75, 184406 (2007).