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Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 6, 2010, Pages

Phase diagram of the frustrated spin ladder

(2) Hikihara, Toshiya a Starykh, Oleg A b

a HOKKAIDO UNIVERSITY (Japan)

b UNIVERSITY OF UTAH (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954830892 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.81.064432 Document Type: Article

Times cited : (55)

References (49)

1
- 84967536110
- edited by H. T. Diep (World Scientific, Singapore
- Frustrated Spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005).
- (2005) Frustrated Spin Systems

2
- 0001390453
- 10.1103/PhysRevB.53.8521
- D. G. Shelton, A. A. Nersesyan, and A. M. Tsvelik, Phys. Rev. B 53, 8521 (1996). 10.1103/PhysRevB.53.8521
- (1996) Phys. Rev. B , vol.53 , pp. 8521
- Shelton, D.G.¹ Nersesyan, A.A.² Tsvelik, A.M.³

3
- 4243507854
- 10.1103/PhysRevLett.78.3939
- A. A. Nersesyan and A. M. Tsvelik, Phys. Rev. Lett. 78, 3939 (1997). 10.1103/PhysRevLett.78.3939
- (1997) Phys. Rev. Lett. , vol.78 , pp. 3939
- Nersesyan, A.A.¹ Tsvelik, A.M.²

4
- 33744947802
- 10.1103/PhysRevB.73.214405
- J.-B. Fouet, F. Mila, D. Clarke, H. Youk, O. Tchernyshyov, P. Fendley, and R. M. Noack, Phys. Rev. B 73, 214405 (2006). 10.1103/PhysRevB.73.214405
- (2006) Phys. Rev. B , vol.73 , pp. 214405
- Fouet, J.-B.¹ Mila, F.² Clarke, D.³ Youk, H.⁴ Tchernyshyov, O.⁵ Fendley, P.⁶ Noack, R.M.⁷

5
- 63649131310
- 10.1088/0953-8984/21/2/023203
- J. S. Meyer and K. A. Matveev, J. Phys.: Condens. Matter 21, 023203 (2009). 10.1088/0953-8984/21/2/023203
- (2009) J. Phys.: Condens. Matter , vol.21 , pp. 023203
- Meyer, J.S.¹ Matveev, K.A.²

6
- 50849103387
- 10.1103/PhysRevB.78.054520
- D. N. Sheng, O. I. Motrunich, S. Trebst, E. Gull, and M. P. A. Fisher, Phys. Rev. B 78, 054520 (2008). 10.1103/PhysRevB.78.054520
- (2008) Phys. Rev. B , vol.78 , pp. 054520
- Sheng, D.N.¹ Motrunich, O.I.² Trebst, S.³ Gull, E.⁴ Fisher, M.P.A.⁵

7
- 23844520141
- 10.1103/RevModPhys.77.259
- U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). 10.1103/RevModPhys. 77.259
- (2005) Rev. Mod. Phys. , vol.77 , pp. 259
- Schollwöck, U.¹

8
- 33751183759
- 10.1080/00018730600766432
- K. A. Hallberg, Adv. Phys. 55, 477 (2006). 10.1080/00018730600766432
- (2006) Adv. Phys. , vol.55 , pp. 477
- Hallberg, K.A.¹

9
- 13144280276
- 10.1088/0034-4885/62/11/202
- E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999). 10.1088/0034-4885/62/11/202
- (1999) Rep. Prog. Phys. , vol.62 , pp. 1525
- Dagotto, E.¹

10
- 33846402423
- 10.1103/PhysRevLett.98.027403
- S. Notbohm, P. Ribeiro, B. Lake, D. A. Tennant, K. P. Schmidt, G. S. Uhrig, C. Hess, R. Klingeler, G. Behr, B. Büchner, M. Reehuis, R. I. Bewley, C. D. Frost, P. Manuel, and R. S. Eccleston, Phys. Rev. Lett. 98, 027403 (2007). 10.1103/PhysRevLett.98.027403
- (2007) Phys. Rev. Lett. , vol.98 , pp. 027403
- Notbohm, S.¹ Ribeiro, P.² Lake, B.³ Tennant, D.A.⁴ Schmidt, K.P.⁵ Uhrig, G.S.⁶ Hess, C.⁷ Klingeler, R.⁸ Behr, G.⁹ Büchner, B.¹⁰ Reehuis, M.¹¹ Bewley, R.I.¹² Frost, C.D.¹³ Manuel, P.¹⁴ Eccleston, R.S.¹⁵

11
- 73549100207
- 10.1038/nphys1462
- B. Lake, Alexei M. Tsvelik, Susanne Notbohm, D. Alan Tennant, Toby G. Perring, Manfred Reehuis, Chinnathambi Sekar, Gernot Krabbes, and Bernd Büchner, Nat. Phys. 6, 50 (2010). 10.1038/nphys1462
- (2010) Nat. Phys. , vol.6 , pp. 50
- Lake, B.¹ Tsvelik, A.M.² Notbohm, S.³ Alan Tennant, D.⁴ Perring, T.G.⁵ Reehuis, M.⁶ Sekar, C.⁷ Krabbes, G.⁸ Büchner, B.⁹

12
- 0001523699
- 10.1103/PhysRevLett.83.5370
- I. A. Zaliznyak, C. Broholm, M. Kibune, M. Nohara, and H. Takagi, Phys. Rev. Lett. 83, 5370 (1999). 10.1103/PhysRevLett.83.5370
- (1999) Phys. Rev. Lett. , vol.83 , pp. 5370
- Zaliznyak, I.A.¹ Broholm, C.² Kibune, M.³ Nohara, M.⁴ Takagi, H.⁵

13
- 19644390614
- 10.1103/PhysRevLett.93.127202
- O. A. Starykh and L. Balents, Phys. Rev. Lett. 93, 127202 (2004). 10.1103/PhysRevLett.93.127202
- (2004) Phys. Rev. Lett. , vol.93 , pp. 127202
- Starykh, O.A.¹ Balents, L.²

14
- 33745436957
- 10.1103/PhysRevB.73.224433
- H. H. Hung, C. D. Gong, Y. C. Chen, and M. F. Yang, Phys. Rev. B 73, 224433 (2006). 10.1103/PhysRevB.73.224433
- (2006) Phys. Rev. B , vol.73 , pp. 224433
- Hung, H.H.¹ Gong, C.D.² Chen, Y.C.³ Yang, M.F.⁴

15
- 44349185480
- 10.1103/PhysRevB.77.205121
- E. H. Kim, Ö. Legeza, and J. Sólyom, Phys. Rev. B 77, 205121 (2008). 10.1103/PhysRevB.77.205121
- (2008) Phys. Rev. B , vol.77 , pp. 205121
- Kim, E.H.¹ Legeza, Ö.² Sólyom, J.³

16
- 45249108638
- 10.1103/PhysRevB.77.214418
- G. H. Liu, H. L. Wang, and G. S. Tian, Phys. Rev. B 77, 214418 (2008). 10.1103/PhysRevB.77.214418
- (2008) Phys. Rev. B , vol.77 , pp. 214418
- Liu, G.H.¹ Wang, H.L.² Tian, G.S.³

17
- 0000445558
- 10.1103/PhysRevB.54.R9612
- S. Eggert, Phys. Rev. B 54, R9612 (1996). 10.1103/PhysRevB.54.R9612
- (1996) Phys. Rev. B , vol.54 , pp. 9612
- Eggert, S.¹

18
- 0000248349
- 10.1103/PhysRevLett.81.910
- A. A. Nersesyan, A. O. Gogolin, and F. H. L. Essler, Phys. Rev. Lett. 81, 910 (1998). 10.1103/PhysRevLett.81.910
- (1998) Phys. Rev. Lett. , vol.81 , pp. 910
- Nersesyan, A.A.¹ Gogolin, A.O.² Essler, F.H.L.³

19
- 0001417295
- 10.1103/PhysRevB.61.8871
- D. Allen, F. H. L. Essler, and A. A. Nersesyan, Phys. Rev. B 61, 8871 (2000). 10.1103/PhysRevB.61.8871
- (2000) Phys. Rev. B , vol.61 , pp. 8871
- Allen, D.¹ Essler, F.H.L.² Nersesyan, A.A.³

20
- 0034450791
- 10.1103/PhysRevB.62.14965
- E. H. Kim, G. Fáth, J. Sólyom, and D. J. Scalapino, Phys. Rev. B 62, 14965 (2000). 10.1103/PhysRevB.62.14965
- (2000) Phys. Rev. B , vol.62 , pp. 14965
- Kim, E.H.¹ Fáth, G.² Sólyom, J.³ Scalapino, D.J.⁴

21
- 4243280214
- 10.1103/PhysRevB.67.024422
- A. A. Nersesyan and A. M. Tsvelik, Phys. Rev. B 67, 024422 (2003). 10.1103/PhysRevB.67.024422
- (2003) Phys. Rev. B , vol.67 , pp. 024422
- Nersesyan, A.A.¹ Tsvelik, A.M.²

22
- 0033260098
- 10.1143/JPSJ.68.3123
- M. Nakamura, J. Phys. Soc. Jpn. 68, 3123 (1999). 10.1143/JPSJ.68.3123
- (1999) J. Phys. Soc. Jpn. , vol.68 , pp. 3123
- Nakamura, M.¹

23
- 0001402216
- 10.1103/PhysRevB.61.16377
- M. Nakamura, Phys. Rev. B 61, 16377 (2000). 10.1103/PhysRevB.61.16377
- (2000) Phys. Rev. B , vol.61 , pp. 16377
- Nakamura, M.¹

24
- 4243547048
- 10.1103/PhysRevLett.88.056402
- M. Tsuchiizu and A. Furusaki, Phys. Rev. Lett. 88, 056402 (2002). 10.1103/PhysRevLett.88.056402
- (2002) Phys. Rev. Lett. , vol.88 , pp. 056402
- Tsuchiizu, M.¹ Furusaki, A.²

25
- 4244191132
- 10.1088/0022-3719/20/36/011
- J. B. Parkinson, J. Phys. C 20, L1029 (1987). 10.1088/0022-3719/20/36/011
- (1987) J. Phys. C , vol.20 , pp. 1029
- Parkinson, J.B.¹

26
- 0037750599
- 10.1088/0022-3719/21/20/014
- J. B. Parkinson, J. Phys. C 21, 3793 (1988). 10.1088/0022-3719/21/20/014
- (1988) J. Phys. C , vol.21 , pp. 3793
- Parkinson, J.B.¹

27
- 0000959809
- 10.1103/PhysRevB.40.4621
- M. N. Barber and M. T. Batchelor, Phys. Rev. B 40, 4621 (1989). 10.1103/PhysRevB.40.4621
- (1989) Phys. Rev. B , vol.40 , pp. 4621
- Barber, M.N.¹ Batchelor, M.T.²

28
- 84956120130
- 10.1209/0295-5075/9/8/013
- A. Klümper, Europhys. Lett. 9, 815 (1989). 10.1209/0295-5075/9/8/013
- (1989) Europhys. Lett. , vol.9 , pp. 815
- Klümper, A.¹

29
- 0000304664
- 10.1088/0953-8984/2/2/016
- I. Affleck, J. Phys.: Condens. Matter 2, 405 (1990). 10.1088/0953-8984/2/ 2/016
- (1990) J. Phys.: Condens. Matter , vol.2 , pp. 405
- Affleck, I.¹

30
- 1542625996
- 10.1016/0375-9601(93)90602-V
- Y. Xian, Phys. Lett. A 183, 437 (1993). 10.1016/0375-9601(93)90602-V
- (1993) Phys. Lett. A , vol.183 , pp. 437
- Xian, Y.¹

31
- 3442895828
- 10.1103/PhysRevLett.69.2863
- S. R. White, Phys. Rev. Lett. 69, 2863 (1992). 10.1103/PhysRevLett.69. 2863
- (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
- White, S.R.¹

32
- 20044389808
- 10.1103/PhysRevB.48.10345
- S. R. White, Phys. Rev. B 48, 10345 (1993). 10.1103/PhysRevB.48.10345
- (1993) Phys. Rev. B , vol.48 , pp. 10345
- White, S.R.¹

33
- 77954833931
- In Figs. , the data of the slope ΔCD/SD (x) for x= x7 =160 are not shown since the truncation error of the DMRG calculation, which is amplified by the numerical derivative in Eq. , is not negligible for these cases.
- In Figs., the data of the slope Δ CD / SD (x) for x = x 7 = 160 are not shown since the truncation error of the DMRG calculation, which is amplified by the numerical derivative in Eq., is not negligible for these cases.

34
- 0004159250
- 10.1063/1.1664978
- C. K. Majumdar and D. K. Ghosh, J. Math. Phys. 10, 1388 (1969). 10.1063/1.1664978
- (1969) J. Math. Phys. , vol.10 , pp. 1388
- Majumdar, C.K.¹ Ghosh, D.K.²

35
- 0000722613
- 10.1103/PhysRevB.25.4925
- F. D. M. Haldane, Phys. Rev. B 25, 4925 (1982). 10.1103/PhysRevB.25.4925
- (1982) Phys. Rev. B , vol.25 , pp. 4925
- Haldane, F.D.M.¹

36
- 0000779196
- R. Jullien and F. D. M. Haldane, Bull. Am. Phys. Soc. 28, 344 (1983).
- (1983) Bull. Am. Phys. Soc. , vol.28 , pp. 344
- Jullien, R.¹ Haldane, F.D.M.²

37
- 0000980809
- 10.1016/0375-9601(92)90823-5
- K. Okamoto and K. Nomura, Phys. Lett. A 169, 433 (1992). 10.1016/0375-9601(92)90823-5
- (1992) Phys. Lett. A , vol.169 , pp. 433
- Okamoto, K.¹ Nomura, K.²

38
- 45849155128
- 10.1103/PhysRevLett.89.077204
- M. Nakamura and S. Todo, Phys. Rev. Lett. 89, 077204 (2002). 10.1103/PhysRevLett.89.077204
- (2002) Phys. Rev. Lett. , vol.89 , pp. 077204
- Nakamura, M.¹ Todo, S.²

39
- 0036996621
- 10.1143/PTPS.145.217
- M. Nakamura and S. Todo, Prog. Theor. Phys. Suppl. 145, 217 (2002). 10.1143/PTPS.145.217
- (2002) Prog. Theor. Phys. Suppl. , vol.145 , pp. 217
- Nakamura, M.¹ Todo, S.²

40
- 77954833763
- In Fig. , the SD operator DSD (L/2;L ) for J =0.39 and L=192 is not shown as the DMRG calculation was not stable in this case. We note that this feature can be naturally understood within the VBS picture as the boundary condition with additional edge spins, employed in the calculation of the SD operator, is not compatible with the RS ground state realized at this parameter point. In the RS ground state these additional edge spin-1/2 moments essentially decouple from the bulk and spoil numerical stability of the calculation. Similar effect is well known in the Haldane phase where the free-edge moments are induced in the ladder under the simple open boundary condition. We have observed this phenomenon in the wide range of exchange parameters corresponding to the RS, CD, and Haldane phases.
- In Fig., the SD operator D SD (L / 2; L) for J = 0.39 and L = 192 is not shown as the DMRG calculation was not stable in this case. We note that this feature can be naturally understood within the VBS picture as the boundary condition with additional edge spins, employed in the calculation of the SD operator, is not compatible with the RS ground state realized at this parameter point. In the RS ground state these additional edge spin-1/2 moments essentially decouple from the bulk and spoil numerical stability of the calculation. Similar effect is well known in the Haldane phase where the free-edge moments are induced in the ladder under the simple open boundary condition. We have observed this phenomenon in the wide range of exchange parameters corresponding to the RS, CD, and Haldane phases.

41
- 4243931153
- 10.1103/PhysRevLett.80.2709
- A. K. Kolezhuk and H.-J. Mikeska, Phys. Rev. Lett. 80, 2709 (1998). 10.1103/PhysRevLett.80.2709
- (1998) Phys. Rev. Lett. , vol.80 , pp. 2709
- Kolezhuk, A.K.¹ Mikeska, H.-J.²

42
- 0000886753
- 10.1142/S0217979298001356
- A. K. Kolezhuk and H.-J. Mikeska, Int. J. Mod. Phys. B 12, 2325 (1998). 10.1142/S0217979298001356
- (1998) Int. J. Mod. Phys. B , vol.12 , pp. 2325
- Kolezhuk, A.K.¹ Mikeska, H.-J.²

43
- 3442877413
- 10.1103/PhysRevLett.81.5406
- S. K. Pati, R. R. P. Singh, and D. I. Khomskii, Phys. Rev. Lett. 81, 5406 (1998). 10.1103/PhysRevLett.81.5406
- (1998) Phys. Rev. Lett. , vol.81 , pp. 5406
- Pati, S.K.¹ Singh, R.R.P.² Khomskii, D.I.³

44
- 0036813544
- 10.1103/PhysRevB.66.134423
- M. Müller, T. Vekua, and H.-J. Mikeska, Phys. Rev. B 66, 134423 (2002). 10.1103/PhysRevB.66.134423
- (2002) Phys. Rev. B , vol.66 , pp. 134423
- Müller, M.¹ Vekua, T.² Mikeska, H.-J.³

45
- 0038418050
- 10.1103/PhysRevB.67.100409
- A. Läuchli, G. Schmid, and M. Troyer, Phys. Rev. B 67, 100409 (R) (2003). 10.1103/PhysRevB.67.100409
- (2003) Phys. Rev. B , vol.67 , pp. 100409
- Läuchli, A.¹ Schmid, G.² Troyer, M.³

46
- 0038575730
- 10.1103/PhysRevB.67.174410
- T. Momoi, T. Hikihara, M. Nakamura, and X. Hu, Phys. Rev. B 67, 174410 (2003). 10.1103/PhysRevB.67.174410
- (2003) Phys. Rev. B , vol.67 , pp. 174410
- Momoi, T.¹ Hikihara, T.² Nakamura, M.³ Hu, X.⁴

47
- 33748901456
- 10.1103/PhysRevB.42.4568
- N. Read and S. Sachdev, Phys. Rev. B 42, 4568 (1990). 10.1103/PhysRevB.42.4568
- (1990) Phys. Rev. B , vol.42 , pp. 4568
- Read, N.¹ Sachdev, S.²

48
- 73349128743
- 10.1103/PhysRevB.80.184427
- A. Ralko, M. Mambrini, and D. Poilblanc, Phys. Rev. B 80, 184427 (2009). 10.1103/PhysRevB.80.184427
- (2009) Phys. Rev. B , vol.80 , pp. 184427
- Ralko, A.¹ Mambrini, M.² Poilblanc, D.³

49
- 33745111206
- 10.1103/PhysRevB.73.214427
- T. Vekua and A. Honecker, Phys. Rev. B 73, 214427 (2006). 10.1103/PhysRevB.73.214427
- (2006) Phys. Rev. B , vol.73 , pp. 214427
- Vekua, T.¹ Honecker, A.²

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