Quantum dimer model for the spin- 12 kagome Z2 spin liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 90, Issue 10, 2014, Pages

  Rousochatzakis, Ioannis ^a,b   Wan, Yuan ^c   Tchernyshyov, Oleg ^c   Mila, Frédéric ^d  

^a Institute for Theoretical Solid State Physics   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c JOHNS HOPKINS UNIVERSITY   (United States)

^d EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84907246494     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.90.100406     Document Type: Article

References (39)

1. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973). MRBUAC 0025-5408 10.1016/0025-5408(73)90167-0
2. P. Fazekas and P. W. Anderson, Philos. Mag. 30, 423 (1974). PHMAA4 0031-8086 10.1080/14786439808206568
3. P. W. Anderson, Science 235, 1196 (1987). SCIEAS 0036-8075 10.1126/science.235.4793.1196
4. S. Liang, B. Doucot, and P. W. Anderson, Phys. Rev. Lett. 61, 365 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.365
5. A. P. Ramirez, Annu. Rev. Mater. Sci. 24, 453 (1994). ARMSCX 0084-6600 10.1146/annurev.ms.24.080194.002321
6. S. Sachdev, Phys. Rev. B 45, 12377 (1992). PRBMDO 0163-1829 10.1103/PhysRevB.45.12377
7. G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. Lett. 89, 137202 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.137202
8. G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. B 67, 214413 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.67.214413
9. L. Balents, Nature (London) 464, 199 (2010). NATUAS 0028-0836 10.1038/nature08917
10. M. Shores, E. Nytko, B. Barlett, and D. Nocera, J. Am. Chem. Soc. 127, 13462 (2005). JACSAT 0002-7863 10.1021/ja053891p
11. T.-H. Han, J. S. Helton, S. Chu, D. G. Nocera, J. A. Rodriguez-Rivera, C. Broholm, and Y. S. Lee, Nature (London) 492, 406 (2012). NATUAS 0028-0836 10.1038/nature11659
12. Y. Ran, M. Hermele, P. A. Lee, and X. G. Wen, Phys. Rev. Lett. 98, 117205 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.117205
13. M. Hermele, Y. Ran, P. A. Lee, and X. G. Wen, Phys. Rev. B 77, 224413 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.224413
14. O. Ma and J. B. Marston, Phys. Rev. Lett. 101, 027204 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.027204
15. Y. Iqbal, F. Becca, S. Sorella, and D. Poilblanc, Phys. Rev. B 87, 060405 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.060405
16. J. B. Marston and C. Zeng, J. Appl. Phys. 69, 5962 (1991). JAPIAU 0021-8979 10.1063/1.347830
17. P. Nikolic and T. Senthil, Phys. Rev. B 68, 214415 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.68.214415
18. R. R. P. Singh and D. A. Huse, Phys. Rev. B 76, 180407 (R) (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.180407
19. A. V. Syromyatnikov and S. V. Maleyev, Phys. Rev. B 66, 132408 (2002). PRBMDO 1098-0121 10.1103/PhysRevB.66.132408
20. R. Budnik and A. Auerbach, Phys. Rev. Lett. 93, 187205 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.187205
21. G. Evenbly and G. Vidal, Phys. Rev. Lett. 104, 187203 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203
22. D. Schwandt, M. Mambrini, and D. Poilblanc, Phys. Rev. B 81, 214413 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.214413
23. D. Poilblanc, M. Mambrini, and D. Schwandt, Phys. Rev. B 81, 180402 (R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.180402
24. D. Poilblanc and G. Misguich, Phys. Rev. B 84, 214401 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.214401
25. L. Messio, B. Bernu, and C. Lhuillier, Phys. Rev. Lett. 108, 207204 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.207204
26. S. Capponi, V. R. Chandra, A. Auerbach, and M. Weinstein, Phys. Rev. B 87, 161118 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.161118
27. S. Yan, D. A. Huse, and S. R. White, Science 332, 1173 (2011). SCIEAS 0036-8075 10.1126/science.1201080
28. S. Depenbrock, I. P. McCulloch, and U. Schollwöck, Phys. Rev. Lett. 109, 067201 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.067201
29. A. W. Sandvik, Phys. Rev. Lett. 95, 207203 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.207203
30. C. Zeng and V. Elser, Phys. Rev. B 51, 8318 (1995). PRBMDO 0163-1829 10.1103/PhysRevB.51.8318
31. V. Elser, Phys. Rev. Lett. 62, 2405 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.2405
32. M. Mambrini and F. Mila, Eur. Phys. J. B 17, 651 (2000). EPJBFY 1434-6028 10.1007/PL00011071
33. A. M. Läuchli, talk at KITP, October 31, 2012, http://online.kitp.ucsb.edu/online/fragnets12/laeuchli.
34. A. Seidel, Phys. Rev. B 80, 165131 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.165131
35. J. Wildeboer and A. Seidel, Phys. Rev. B 83, 184430 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.184430
36. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376
37. B. Sutherland, Phys. Rev. B 37, 3786 (1988). PRBMDO 0163-1829 10.1103/PhysRevB.37.3786
38. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.90.100406 for (i) the basic elements of the fully truncated NNVB method, (ii) the analytical treatment of the perfect hexagon process, (iii) the influence of extra defect triangles in the vicinity of the tunneling loop, and (iv) the treatment of the potential terms.
39. Z. Hao and O. Tchernyshyov, Phys. Rev. B 81, 214445 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.214445