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Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 18, 2011, Pages

Linear independence of nearest-neighbor valence bond states in several two-dimensional lattices

(2) Wildeboer, Julia a Seidel, Alexander a

a WASHINGTON UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961162321 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.83.184430 Document Type: Article

Times cited : (20)

References (44)

1
- 0019602805
- PHBCDQ 0378-4363 10.1016/0378-4363(81)90838-X
- B. S. Shastry and B. Sutherland, Physica B PHBCDQ 0378-4363 10.1016/0378-4363(81)90838-X 108, 1069 (1981).
- (1981) Physica B , vol.108 , pp. 1069
- Shastry, B.S.¹ Sutherland, B.²

2
- 0015586907
- MRBUAC 0025-5408 10.1016/0025-5408(73)90167-0
- P. W. Anderson, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/0025-5408(73) 90167-0 8, 153 (1973).
- (1973) Mater. Res. Bull. , vol.8 , pp. 153
- Anderson, P.W.¹

3
- 0023646228
- SCIEAS 0036-8075 10.1126/science.235.4793.1196
- P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987).
- (1987) Science , vol.235 , pp. 1196
- Anderson, P.W.¹

4
- 3042814883
- PRLTAO 0031-9007 10.1103/PhysRevLett.91.107001
- Y. Shimizu, K. Miyagawa, K. Kanoda, M. Maesato, and G. Saito, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.107001 91, 107001 (2003).
- (2003) Phys. Rev. Lett. , vol.91 , pp. 107001
- Shimizu, Y.¹ Miyagawa, K.² Kanoda, K.³ Maesato, M.⁴ Saito, G.⁵

5
- 41449089856
- PLRBAQ 1098-0121 10.1103/PhysRevB.77.104413
- T. Itou, A. Oyamada, S. Maegawa, M. Tamura, and R. Kato, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.104413 77, 104413 (2008).
- (2008) Phys. Rev. B , vol.77 , pp. 104413
- Itou, T.¹ Oyamada, A.² Maegawa, S.³ Tamura, M.⁴ Kato, R.⁵

6
- 0035601467
- JUPSAU 0031-9015 10.1143/JPSJ.70.3377
- Z. Hiroi, M. Hanawa, N. Kobayashi, M. Nohara, H. Takagi, Y. Kato, and M. Takigawa, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.3377 70, 3377 (2001).
- (2001) J. Phys. Soc. Jpn. , vol.70 , pp. 3377
- Hiroi, Z.¹ Hanawa, M.² Kobayashi, N.³ Nohara, M.⁴ Takagi, H.⁵ Kato, Y.⁶ Takigawa, M.⁷

7
- 25844514824
- A structurally perfect S = 1/2 Kagomé antiferromagnet
- DOI 10.1021/ja053891p
- M. P. Shores, E. A. Nytko, B. M. Bartlett, and D. G. Nocera, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja053891p 127, 13462 (2005). (Pubitemid 41401176)
- (2005) Journal of the American Chemical Society , vol.127 , Issue.39 , pp. 13462-13463
- Shores, M.P.¹ Nytko, E.A.² Bartlett, B.M.³ Nocera, D.G.⁴

8
- 33947095026
- Spin dynamics of the spin-1/2 kagome lattice antiferromagnet ZnCu3(OH)6Cl2
- DOI 10.1103/PhysRevLett.98.107204
- J. S. Helton, K. Matan, M. P. Shores, E. A. Nytko, B. M. Bartlett, Y. Yoshida, Y. Takano, A. Suslov, Y. Qiu, J.-H. Chung, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.107204 98, 107204 (2007). (Pubitemid 46397320)
- (2007) Physical Review Letters , vol.98 , Issue.10 , pp. 107204
- Helton, J.S.¹ Matan, K.² Shores, M.P.³ Nytko, E.A.⁴ Bartlett, B.M.⁵ Yoshida, Y.⁶ Takano, Y.⁷ Suslov, A.⁸ Qiu, Y.⁹ Chung, J.-H.¹⁰ Nocera, D.G.¹¹ Lee, Y.S.¹²

9
- 33847010945
- PRLTAO 0031-9007 10.1103/PhysRevLett.98.077204
- P. Mendels, F. Bert, M. A. de Vries, A. Olariu, A. Harrison, F. Duc, J. C. Trombe, J. S. Lord, A. Amato, and C. Baines, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.077204 98, 077204 (2007).
- (2007) Phys. Rev. Lett. , vol.98 , pp. 077204
- Mendels, P.¹ Bert, F.² De Vries, M.A.³ Olariu, A.⁴ Harrison, A.⁵ Duc, F.⁶ Trombe, J.C.⁷ Lord, J.S.⁸ Amato, A.⁹ Baines, C.¹⁰

10
- 3743130827
- PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376
- D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
- (1988) Phys. Rev. Lett. , vol.61 , pp. 2376
- Rokhsar, D.S.¹ Kivelson, S.A.²

11
- 17144436460
- Resonating valence bond phase in the triangular lattice quantum dimer model
- DOI 10.1103/PhysRevLett.86.1881
- R. Moessner and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1881 86, 1881 (2001). (Pubitemid 32252800)
- (2001) Physical Review Letters , vol.86 , Issue.9 , pp. 1881-1884
- Moessner, R.¹ Sondhi, S.L.²

12
- 0037163754
- PRLTAO 0031-9007 10.1103/PhysRevLett.89.137202
- G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.137202 89, 137202 (2002).
- (2002) Phys. Rev. Lett. , vol.89 , pp. 137202
- Misguich, G.¹ Serban, D.² Pasquier, V.³

13
- 0001208964
- PLRBAQ 1098-0121 10.1103/PhysRevB.37.3786
- B. Sutherland, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.37.3786 37, 3786 (1988).
- (1988) Phys. Rev. B , vol.37 , pp. 3786
- Sutherland, B.¹

14
- 77955435117
- PLRBAQ 1098-0121 10.1103/PhysRevB.81.180402
- D. Poilblanc, M. Mambrini, and D. Schwandt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.180402 81, 180402 (R) (2010).
- (2010) Phys. Rev. B , vol.81 , pp. 180402
- Poilblanc, D.¹ Mambrini, M.² Schwandt, D.³

15
- 77955341098
- PLRBAQ 1098-0121 10.1103/PhysRevB.81.214413
- D. Schwandt, M. Mambrini, and D. Poilblanc, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.214413 81, 214413 (2010).
- (2010) Phys. Rev. B , vol.81 , pp. 214413
- Schwandt, D.¹ Mambrini, M.² Poilblanc, D.³

16
- 4243241072
- PRLTAO 0031-9007 10.1103/PhysRevLett.62.2405
- V. Elser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.2405 62, 2405 (1989).
- (1989) Phys. Rev. Lett. , vol.62 , pp. 2405
- Elser, V.¹

17
- 33847366324
- PLRBAQ 1098-0121 10.1103/PhysRevB.75.094411
- Z. Nussinov, C. D. Batista, B. Normand, and S. A. Trugman, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.75.094411 75, 094411 (2007).
- (2007) Phys. Rev. B , vol.75 , pp. 094411
- Nussinov, Z.¹ Batista, C.D.² Normand, B.³ Trugman, S.A.⁴

18
- 33644934020
- Quantum disordered ground states in frustrated antiferromagnets with multiple ring exchange interactions
- DOI 10.1103/PhysRevB.72.024429
- S. Fujimoto, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.72.024429 72, 024429 (2005). (Pubitemid 43406453)
- (2005) Physical Review B - Condensed Matter and Materials Physics , vol.72 , Issue.2 , pp. 024429
- Fujimoto, S.¹

19
- 72649084708
- PLRBAQ 1098-0121 10.1103/PhysRevB.80.165131
- A. Seidel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.165131 80, 165131 (2009).
- (2009) Phys. Rev. B , vol.80 , pp. 165131
- Seidel, A.¹

20
- 77955327151
- PRLTAO 0031-9007 10.1103/PhysRevLett.105.067205
- J. Cano and P. Fendley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.067205 105, 067205 (2010).
- (2010) Phys. Rev. Lett. , vol.105 , pp. 067205
- Cano, J.¹ Fendley, P.²

21
- 79961164173
- e- print arXiv: 1010.3724.
- H. Yao and D.-H. Lee, e- print arXiv: 1010.3724.
- Yao, H.¹ Lee, D.-H.²

22
- 33644531021
- SU(2)-invariant spin- 1 2 Hamiltonians with resonating and other valence bond phases
- DOI 10.1103/PhysRevB.72.064413
- K. S. Raman, R. Moessner, and S. L. Sondhi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.72.064413 72, 064413 (2005). (Pubitemid 43292005)
- (2005) Physical Review B - Condensed Matter and Materials Physics , vol.72 , Issue.6 , pp. 064413
- Raman, K.S.¹ Moessner, R.² Sondhi, S.L.³

23
- 0000369966
- JPHAC5 0305-4470 10.1088/0305-4470/15/2/032
- D. J. Klein, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/2/032 15, 661 (1982).
- (1982) J. Phys. A , vol.15 , pp. 661
- Klein, D.J.¹

24
- 67549102053
- JUPSAU 0031-9015 10.1143/JPSJ.78.054701
- Z. Noorbakhsh, F. Shahbazi, S. A. Jafari, and G. Baskaran, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.78.054701 78, 054701 (2009).
- (2009) J. Phys. Soc. Jpn. , vol.78 , pp. 054701
- Noorbakhsh, Z.¹ Shahbazi, F.² Jafari, S.A.³ Baskaran, G.⁴

25
- 0000160123
- EPJBFY 1434-6028 10.1007/PL00011071
- M. Mambrini and F. Mila, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/PL00011071 17, 651 (2000).
- (2000) Eur. Phys. J. B , vol.17 , pp. 651
- Mambrini, M.¹ Mila, F.²

26
- 0002589168
- EPJBFY 1434-6028 10.1140/epjb/e20020078
- G. Misguich, C. Lhuillier, M. Mambrini, and P. Sindzingre, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e20020078 26, 167 (2002).
- (2002) Eur. Phys. J. B , vol.26 , pp. 167
- Misguich, G.¹ Lhuillier, C.² Mambrini, M.³ Sindzingre, P.⁴

27
- 0002669010
- CMPHAY 0010-3616 10.1007/BF01244017
- J. T. Chayes, L. Chayes, and S. A. Kivelson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01244017 123, 53 (1989).
- (1989) Commun. Math. Phys. , vol.123 , pp. 53
- Chayes, J.T.¹ Chayes, L.² Kivelson, S.A.³

28
- 84967371736
- in edited by H. T. Diep (World Scientific, Singapore
- G. Misguich and C. Lhuillier, in Frustrated Spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005).
- (2005) Frustrated Spin Systems
- Misguich, G.¹ Lhuillier, C.²

29
- 0034896225
- PLRBAQ 1098-0121 10.1103/PhysRevB.63.224401
- R. Moessner and S. L. Sondhi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.63.224401 63, 224401 (2001).
- (2001) Phys. Rev. B , vol.63 , pp. 224401
- Moessner, R.¹ Sondhi, S.L.²

30
- 33947247542
- JPHAC5 0305-4470 10.1088/0305-4470/39/49/003
- R. M. Ziff and C. R. Scullard, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/49/003 39, 15083 (2006).
- (2006) J. Phys. A , vol.39 , pp. 15083
- Ziff, R.M.¹ Scullard, C.R.²

31
- 79961161415
- While here we will usually consider the case where a single type of cell suffices, one may in some cases want to identify several types of cells that satisfy the local linear independence property, such that the lattice can be conveniently covered by this family of cells.
- While here we will usually consider the case where a single type of cell suffices, one may in some cases want to identify several types of cells that satisfy the local linear independence property, such that the lattice can be conveniently covered by this family of cells.

32
- 79961137281
- note
- In general, one should exclude by definition any link between two boundary sites of C from the topology of C. This is not an issue for most cells considered here, except for the martini-B and the Archimedean-B lattices; see Figs., and. It would also be relevant, e.g., to cells of the triangular lattice.

33
- 79961161060
- Computer code LINBOX, ver. 1.10.6 (The LinBox Group
- Computer code LINBOX, ver. 1.10.6 (The LinBox Group, 2008), [http://linalg.org].
- (2008)

34
- 79961151474
- 60 lattice as having the topology of a sphere, or, through its Schlegel diagram, of a planar graph. This does not affect the general validity of this statement.
- 60 lattice as having the topology of a sphere, or, through its Schlegel diagram, of a planar graph. This does not affect the general validity of this statement.

35
- 3643116952
- G. Rumer, Göttinger. Nachr. p. 377 (1932).
- (1932) Göttinger. Nachr. , pp. 377
- Rumer, G.¹

36
- 0000778173
- JCPSA6 0021-9606 10.1063/1.1749284
- L. Pauling, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1749284 1, 280 (1933).
- (1933) J. Chem. Phys. , vol.1 , pp. 280
- Pauling, L.¹

37
- 0012232559
- SYMEDZ 0379-6779 10.1016/0379-6779(79)90011-0
- S. Mazumdar and Z. G. Soos, Synth. Met. SYMEDZ 0379-6779 10.1016/0379-6779(79)90011-0 1, 77 (1979).
- (1979) Synth. Met. , vol.1 , pp. 77
- Mazumdar, S.¹ Soos, Z.G.²

38
- 84987080983
- IJQCB2 0020-7608 10.1002/qua.560250606
- S. Ramasesha and Z. G. Soos, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/qua.560250606 25, 1003 (1984).
- (1984) Int. J. Quantum Chem. , vol.25 , pp. 1003
- Ramasesha, S.¹ Soos, Z.G.²

39
- 34848884236
- 8
- DOI 10.1103/PhysRevLett.99.137207
- Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.137207 99, 137207 (2007). (Pubitemid 47510049)
- (2007) Physical Review Letters , vol.99 , Issue.13 , pp. 137207
- Okamoto, Y.¹ Nohara, M.² Aruga-Katori, H.³ Takagi, H.⁴

40
- 51749122619
- PLRBAQ 1098-0121 10.1103/PhysRevB.78.094403
- G. Chen and L. Balents, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.094403 78, 094403 (2008).
- (2008) Phys. Rev. B , vol.78 , pp. 094403
- Chen, G.¹ Balents, L.²

41
- 44649097205
- PRLTAO 0031-9007 10.1103/PhysRevLett.100.227201
- M. J. Lawler, H. -Y. Kee, Y. B. Kim, and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.227201 100, 227201 (2008).
- (2008) Phys. Rev. Lett. , vol.100 , pp. 227201
- Lawler, M.J.¹ Kee, H.-Y.² Kim, Y.B.³ Vishwanath, A.⁴

42
- 55749090076
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.197201
- Y. Zhou, P. A. Lee, T.-K. Ng, and F.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.197201 101, 197201 (2008).
- (2008) Phys. Rev. Lett. , vol.101 , pp. 197201
- Zhou, Y.¹ Lee, P.A.² Ng, T.-K.³ Zhang, F.-C.⁴

43
- 55749086657
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.197202
- M. J. Lawler, A. Paramekanti, Y. B. Kim, and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.197202 101, 197202 (2008).
- (2008) Phys. Rev. Lett. , vol.101 , pp. 197202
- Lawler, M.J.¹ Paramekanti, A.² Kim, Y.B.³ Balents, L.⁴

44
- 78649823991
- PRLTAO 0031-9007 10.1103/PhysRevLett.105.237202
- E. J. Bergholtz, A. M. Lauchli, and R. Moessner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.237202 105, 237202 (2010).
- (2010) Phys. Rev. Lett. , vol.105 , pp. 237202
- Bergholtz, E.J.¹ Lauchli, A.M.² Moessner, R.³

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