Physical realization of a quantum spin liquid based on a complex frustration mechanism

Nature Physics

Volumn 12, Issue 10, 2016, Pages 942-949

  Balz, Christian ^a,b   Lake, Bella ^a,b   Reuther, Johannes ^a,c   Luetkens, Hubertus ^d   Schönemann, Rico ^e   Herrmannsdörfer, Thomas ^e   Singh, Yogesh ^f   Nazmul Islam, A T M ^a   Wheeler, Elisa M ^g   Rodriguez Rivera, Jose A ^h,i   Guidi, Tatiana ^j   Simeoni, Giovanna G ^k   Baines, Chris ^d   Ryll, Hanjo ^a  

^a HAHN MEITNER INSTITUT   (Germany)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

^d PAUL SCHERRER INSTITUTE   (Switzerland)

^e INSTITUTE OF ION BEAM PHYSICS AND MATERIALS RESEARCH   (Germany)

^f INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH MOHALI   (India)

^g INSTITUT LAUE LANGEVIN   (France)

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

ⁱ UNIVERSITY OF MARYLAND   (United States)

^j RUTHERFORD APPLETON LABORATORY   (United Kingdom)

^k TECHNICAL UNIVERSITY OF MUNICH   (Germany)

more..

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; FERROMAGNETIC MATERIALS; FERROMAGNETISM; GROUND STATE; MAGNETIC MOMENTS; MAGNETS; QUANTUM ENTANGLEMENT;

ANTIFERRO-MAGNETIC INTERACTIONS; ANTIPARALLEL ALIGNMENT; COMPLEX HAMILTONIANS; EXPERIMENTAL REALIZATIONS; FERRO-MAGNETIC INTERACTIONS; FERROMAGNETIC COUPLING; ISOTROPIC INTERACTION; PHYSICAL REALIZATION;

LIQUIDS;

EID: 84979520466     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys3826     Document Type: Article

References (49)

1. Anderson, P. W. Resonating valence bonds: A new kind of insulator Mater. Res. Bull. 8, 153-160 (1973).
2. Balents, L. Spin liquids in frustrated magnets. Nature 464, 199-208 (2010).
3. Fennell, T. et al. Magnetic coulomb phase in the spin ice Ho2Ti2O7. Science 326, 415-417 (2009).
4. Morris, D. J. P. et al. Dirac strings and magnetic monopoles in the spin ice Dy2Ti2O7. Science 326, 411-414 (2009).
5. Kitaev, A. Anyons in an exactly solved model and beyond. Ann. Phys. 321, 2-111 (2006).
6. Banerjee, A. et al. Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet. Nature Mater. 15, 733-740 (2016).
7. Yan, S., Huse, D. A. &White, S. R. Spin-liquid ground state of the sD1=2 kagome Heisenberg antiferromagnet. Science 332, 1173-1176 (2011).
8. Depenbrock, S., McCulloch, I. P. & Schollwöck, U. Nature of the spin-liquid ground state of the sD1=2 Heisenberg model on the kagome lattice. Phys. Rev. Lett. 109, 067201 (2012).
9. Wan, Y. & Tchernyshyov, O. Phenomenological Z2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet. Phys. Rev. B 87, 104408 (2013).
10. Iqbal, Y., Becca, F., Sorella, S. & Poilblanc, D. Gapless spin-liquid phase in the kagome spin-1=2 Heisenberg antiferromagnet. Phys. Rev. B 87, 060405 (2013).
11. Punk, M., Chowdhury, D. & Sachdev, S. Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice. Nature Phys. 10, 289-293 (2014).
12. Suttner, R., Platt, C., Reuther, J. & Thomale, R. Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice. Phys. Rev. B 89, 020408 (2014).
13. Han, T.-H. et al. Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet. Nature 492, 406-410 (2012).
14. Fu, M., Imai, T., Han, T.-H. & Lee, Y. S. Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet. Science 350, 655-658 (2015).
15. Gyepesova, D. & Langer, V. Ca10(CrVO4)6(CrVIO4), a disordered mixed-valence chromium compound exhibiting inversion twinning. Acta Cryst. C69, 111-113 (2013).
16. Read, N. & Sachdev, S. Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets. Phys. Rev. Lett. 62, 1694-1697 (1989).
17. Mydosh, J. A. Spin Glasses: An Experimental Introduction (Taylor and Francis, 1993).
18. Mehlawat, K., Sharma, G. & Singh, Y. Fragile magnetic order in the honeycomb lattice iridate Na2IrO3 revealed by magnetic impurity doping. Phys. Rev. B 92, 134412 (2015).
19. Cole, K. S. & Cole, R. H. Dispersion and absorption in dielectrics i. Alternating current characteristics. J. Chem. Phys. 9, 341-351 (1941).
20. Yaouanc, A. & Dalmas de Rotier, P. Muon Spin Rotation, Relaxation and Resonance (Oxford Univ. Press, 2011).
21. Mendels, P. et al. Quantum magnetism in the paratacamite family: Towards an ideal kagomé lattice. Phys. Rev. Lett. 98, 077204 (2007).
22. Fåk, B. et al. Kapellasite: A kagome quantum spin liquid with competing interactions. Phys. Rev. Lett. 109, 037208 (2012).
23. Clark, L. et al. Gapless spin liquid ground state in the SD1=2 vanadium oxyfluoride kagome antiferromagnet [NH4]2[C7H14N][V7O6F18]. Phys. Rev. Lett. 110, 207208 (2013).
24. Squires, G. L. Introduction to the Theory of Thermal Neutron Scattering (Dover, 1996).
25. Carlo, J. P. et al. Triplet and in-gap magnetic states in the ground state of the quantum frustrated fcc antiferromagnet Ba2YMoO6. Phys. Rev. B 84, 100404 (2011).
26. de Vries, M. A., Mclaughlin, A. C. & Bos, J.-W. G. Valence bond glass on an fcc lattice in the double perovskite Ba2YMoO6. Phys. Rev. Lett. 104, 177202 (2010).
27. Faddeev, L. D. & Takhtajan, L. A. What is the spin of a spin wave Phys. Lett. A 85, 375-377 (1981).
28. Lake, B., Tennant, D. A., Frost, C. D. & Nagler, S. E. Quantum criticality and universal scaling of a quantum antiferromagnet. Nature Mater. 4, 329-334 (2005).
29. Caux, J.-S. & Hagemans, R. The four-spinon dynamical structure factor of the Heisenberg chain. J. Stat. Mech. P12013 (2006).
30. Lake, B. et al. Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain. Phys. Rev. Lett. 111, 137205 (2013).
31. Mourigal, M. et al. Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain. Nature Phys. 9, 435-441 (2013).
32. Balz, C. et al. Quantum spin chain as a potential realization of the Nersesyan-Tsvelik model. Phys. Rev. B 90, 060409 (2014).
33. Liang, S., Doucot, B. & Anderson, P. W. Some new variational resonating-valence-bond-type wave functions for the spin-1/2 antiferromagnetic Heisenberg model on a square lattice. Phys. Rev. Lett. 61, 365-368 (1988).
34. Read, N. & Chakraborty, B. Statistics of the excitations of the resonating-valence-bond state. Phys. Rev. B 40, 7133-7140 (1989).
35. Read, N. & Sachdev, S. Large-N expansion for frustrated quantum antiferromagnets. Phys. Rev. Lett. 66, 1773-1776 (1991).
36. Wen, X. G. Mean-field theory of spin-liquid states with finite energy gap and topological orders. Phys. Rev. B 44, 2664-2672 (1991).
37. Wen, X.-G. Quantum orders and symmetric spin liquids. Phys. Rev. B 65, 165113 (2002).
38. Coldea, R. et al. Direct measurement of the spin Hamiltonian and observation of condensation of magnons in the 2D frustrated quantum magnet Cs2CuCl4. Phys. Rev. Lett. 88, 137203 (2002).
39. Ross, K. A., Savary, L., Gaulin, B. D. & Balents, L. Quantum excitations in quantum spin ice. Phys. Rev. X 1, 021002 (2011).
40. Toth, S. & Lake, B. Linear spin wave theory for single-Q incommensurate magnetic structures. J. Phys. Condens. Matter 27, 166002 (2015).
41. Reuther, J. &Wölfle, P. J1-J2 frustrated two-dimensional Heisenberg model: random phase approximation and functional renormalization group. Phys. Rev. B 81, 144410 (2010).
42. Reuther, J. & Thomale, R. Functional renormalization group for the anisotropic triangular antiferromagnet. Phys. Rev. B 83, 024402 (2011).
43. Reuther, J., Thomale, R. & Rachel, S. Spiral order in the honeycomb iridate Li2IrO3. Phys. Rev. B 90, 100405 (2014).
44. Chernyshev, A. L. & Zhitomirsky, M. E. Spin waves in a triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities. Phys. Rev. B 79, 144416 (2009).
45. Frontzek, M. et al. Magnetic excitations in the geometric frustrated multiferroic CuCrO2. Phys. Rev. B 84, 094448 (2011).
46. Kubo, R. & Toyabe, T. Magnetic Resonance and Relaxation (North-Holland, 1967).
47. Suter, A. &Wojek, B. M. Musrfit: A free platform-independent framework for -sr data analysis. Phys. Proc. 30, 69-73 (2012).
48. Metzner, W., Salmhofer, M., Honerkamp, C., Meden, V. & Schönhammer, K. Functional renormalization group approach to correlated fermion systems. Rev. Mod. Phys. 84, 299-352 (2012).
49. Platt, C., Hanke, W. & Thomale, R. Functional renormalization group for multi-orbital fermi surface instabilities. Adv. Phys. 62, 453-562 (2013).