Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet

Nature Communications

Volumn 4, Issue , 2013, Pages

  Nishimoto, Satoshi ^a   Shibata, Naokazu ^b   Hotta, Chisa ^c  

^a Institute for Theoretical Solid State Physics   (Germany)

^b TOHOKU UNIVERSITY   (Japan)

^c KYOTO SANGYO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL ANALYSIS; MAGNETIC FIELD; MAGNETIZATION; QUANTUM MECHANICS;

ARTICLE; CANONICAL ANALYSIS; ENERGY; ENTROPY; GEOMETRY; LIQUID; MAGNETIC FIELD; QUANTUM CHEMISTRY; SOLID; THEORETICAL MODEL;

EID: 84881443434     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms3287     Document Type: Article

References (37)

1. Oshikawa, M. & Senthil, T. Fractionalization, topological order, and quasiparticle statistics. Phys. Rev. Lett. 96, 060601 (2006).
2. Jiang, H.-C., Wang, Z. & Balents, L. Identifying topological order by entanglement entropy. Nat. Phys. 8, 902-905 (2012).
3. Balents, L. Spin liquids in frustrated magnets. Nature 464, 199-208 (2010).
4. Shimizu, Y., Miyagawa, K., Kanoda, K., Maesato, M. & Saito, G. Spin liquid state in an organic Mott insulator with a triangular lattice. Phys. Rev. Lett. 91, 107001 (2003).
5. 2 as a candidate spin-1/2 kagome antiferromagnet. J. Phys. Soc. Jpn 78, 033701 (2009).
6. Han, T.-H. et al. Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet. Nature 492, 406-410 (2012).
7. 3. J. Phys. Soc. Jpn 71, 2109-2112 (2002). (Pubitemid 36299766)
8. Yan, S., Huse, D. A. & White, S. R. Spin-liquid ground state of the S 1/2 kagome Heisenberg antiferromagnet. Science 332, 1173-1176 (2011).
9. Depenbrock, S., McCulloch, I. P. & Schollwöck, U. Nature of the spin-liquid ground state of the S 1/2 Heisenberg model on the kagome lattice. Phys. Rev. Lett. 109, 067201 (2012).
10. Iqbal, Y., Becca, F., Sorella, S. & Poilblanc, D. Gapless spin liquid phase in spin-1/2 Heisenberg antiferromagnet. Phys. Rev. B 87, 060405R (2013).
11. Evenbly, G. & Vidal, G. Frustrated antiferromagnets with entanglement renormalization:ground state of the spin-1/2 Heisenberg model on a kagome lattice. Phys. Rev. Lett. 104, 187203 (2010).
12. Hida, K. Magnetization process of the S1 and 1/2 uniform and distorted kagome Heisenberg antiferromagnets. J. Phys. Soc. Jpn 70, 3673-3677 (2001). (Pubitemid 33657652)
13. Honecker, A., Schulenburg, J. & Richter, J. Magnetization plateaus in frustrated antiferromagnetic quantum spin models. J. Phys. Condens. Matter 16, S749-S758 (2004).
14. Nakano, H. & Sakai, T. Magnetization process of kagome-lattice Heisenberg antiferromagnet. J. Phys. Soc. Jpn 79, 053707 (2010).
15. Schulenburg, J., Honecker, A., Schnack, J., Richter, J. & Schmidt, H.-J. Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices. Phys. Rev. Lett. 88, 167207 (2002).
16. Zhitomirsky, M. E. & Tsunetsugu, H. Exact low-temperature behavior of a kagome antiferromagnet at high fields. Phys. Rev. B 70, 100403(R) (2004).
17. Hotta, C. & Shibata, N. Grand canonical finite-size numerical approaches: A route to measuring bulk properties in an applied field. Phys. Rev. B 86, 041108 (2012).
18. Hotta, C., Nishimoto, S. & Shibata, N. Grand canonical finite size numerical approaches in one and two dimensions: real space energy renormalization and edge state generation. Phys. Rev. B 87, 115128 (2013).
19. Tsui, D. C., Stormer, H. L. & Gossard, A. C. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559-1562 (1982).
20. Laughlin, R. B. Anomalous quantum hall effect: an incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett. 50, 1395-1398 (1983).
21. Klitzing, K., Dorda, G. & Pepper, M. New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance. Phys. Rev. Lett. 45, 494-497 (1980).
22. Jiang, H. C., Weng, Z. Y. & Sheng, D. N. Density matrix renormalization group numerical study of the kagome antiferromagnet. Phys. Rev. Lett. 101, 117203 (2008).
23. Sandvik, A. W. Finite-size scaling and boundary effects in two-dimensional valence-bond solids. Phys. Rev. B 85, 134407 (2012).
24. 3 fractionalization. Phys. Rev. B 67, 115108 (2003).
25. Fisher, M. P. A., Weichman, P. B., Grinstein, G. & Fisher, D. S. Boson localization and the superfluid-insulator transition. Phys. Rev. B 40, 546-570 (1989).
26. 2 layers and other antiferromagnets. Phys. Rev. B 37, 5186-5192 (1988).
27. Oshikawa, M., Yamanaka, M. & Affleck, I. Magnetization plateaus in spin chains; "Haldane gap" for half-integer spins. Phys. Rev. Lett. 78, 1984-1987 (1997). (Pubitemid 127647408)
28. Tanaka, A., Totsuka, K. & Hu, X. Geometric phases and the magnetization process in quantum antiferromagnets. Phys. Rev. B 79, 064412 (2009).
29. Moessner, R. & Sonhdi, S. L. Ising models of quantum frustration. Phys. Rev. B 63, 224401 (2001).
30. Cabra, D. C. et al. Quantum kagome antiferromagnet in a magnetic field: Low-lying nonmagnetic excitations versus valence-bond crystal order. Phys. Rev. B 71, 144420 (2005).
31. 2. Phys. Rev. Lett. 82, 3168-3171 (1999). (Pubitemid 129689230)
32. 2. Phys. Rev. Lett. 82, 3701-3704 (1999). (Pubitemid 129689297)
33. Isakov, S. V., Melko, R. G. & Hastings, M. B. Topological entanglement entropy of a Bose-Hubbard spin liquid. Nat. Phys. 7, 772-775 (2011).
34. Poilblanc, D., Mambrini, M. & Schwandt, D. Effective quantum dimer model for the kagome Heisenberg antiferromagnet: nearby quantum critical point and hidden degeneracy. Phys. Rev. B 81, 180402(R) (2010).
35. 2O. J. Phys. Soc. Jpn 70, 3377-3384 (2001).
36. Matan, K. et al. Pinwheel valence-bond solid and triplet excitations in the two-dimensional deformed kagome lattice. Nat. Phys. 6, 865-869 (2010).
37. White, S. R. Density matrix formulation for quantum renormalization groups. Phys. Rev. Lett. 69, 2863-2866 (1992).