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Volumn 73, Issue 22, 2006, Pages

Search for quantum dimer phases and transitions in a frustrated spin ladder

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EID: 33745436957     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.224433     Document Type: Article
Times cited : (55)

References (38)
  • 1
    • 0002669662 scopus 로고
    • edited by J. T. Devreese, R. Evrard, and V. van Doren (Plenum, New York
    • V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by, J. T. Devreese,,, R. Evrard,, and, V. van Doren, (Plenum, New York, 1979), p. 327;
    • (1979) Highly Conducting One-Dimensional Solids , pp. 327
    • Emery, V.J.1
  • 2
    • 84940043791 scopus 로고
    • ADPHAH. 0001-8732. 10.1080/00018737900101375
    • J. Sólyom, Adv. Phys. ADPHAH 0001-8732 10.1080/00018737900101375 28, 201 (1979).
    • (1979) Adv. Phys. , vol.28 , pp. 201
    • Sólyom, J.1
  • 3
    • 2842566793 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.53.2327
    • J. E. Hirsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53. 2327 53, 2327 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 2327
    • Hirsch, J.E.1
  • 4
    • 0001114701 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.41.9435
    • J. W. Cannon and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.9435 41, 9435 (1990);
    • (1990) Phys. Rev. B , vol.41 , pp. 9435
    • Cannon, J.W.1    Fradkin, E.2
  • 6
    • 0001057401 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.45.4027
    • J. Voit, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.4027 45, 4027 (1992).
    • (1992) Phys. Rev. B , vol.45 , pp. 4027
    • Voit, J.1
  • 7
    • 0000503578 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.49.7904
    • P. G. J. van Dongen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49. 7904 49, 7904 (1994).
    • (1994) Phys. Rev. B , vol.49 , pp. 7904
    • Van Dongen, P.G.J.1
  • 8
    • 0037011729 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.236401
    • E. Jeckelmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 236401 89, 236401 (2002);
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 236401
    • Jeckelmann, E.1
  • 9
    • 18144434805 scopus 로고    scopus 로고
    • See also a comment and reply: PRLTAO 0031-9007 10.1103/PhysRevLett.91. 089701
    • See also a comment and reply: A. W. Sandvik, P. Sengupta, and D. K. Campbell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.089701 91, 089701 (2003);
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 089701
    • Sandvik, A.W.1    Sengupta, P.2    Campbell, D.K.3
  • 10
    • 85038273998 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.089702
    • E. Jeckelmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 089702 91, 089702 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 089702
    • Jeckelmann, E.1
  • 11
    • 0033260098 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.68.3123
    • M. Nakamura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.68.3123 68, 3123 (1999);
    • (1999) J. Phys. Soc. Jpn. , vol.68 , pp. 3123
    • Nakamura, M.1
  • 12
    • 0001402216 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.61.16377
    • M. Nakamura, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.16377 61, 16377 (2000).
    • (2000) Phys. Rev. B , vol.61 , pp. 16377
    • Nakamura, M.1
  • 13
    • 4243547048 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.056402
    • M. Tsuchiizu and A. Furusaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.056402 88, 056402 (2002);
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 056402
    • Tsuchiizu, M.1    Furusaki, A.2
  • 14
    • 1442288322 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.69.035103
    • M. Tsuchiizu and A. Furusaki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.035103 69, 035103 (2004).
    • (2004) Phys. Rev. B , vol.69 , pp. 035103
    • Tsuchiizu, M.1    Furusaki, A.2
  • 15
    • 0037089185 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.65.155113
    • P. Sengupta, A. W. Sandvik, and D. K. Campbell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.155113 65, 155113 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 155113
    • Sengupta, P.1    Sandvik, A.W.2    Campbell, D.K.3
  • 16
    • 3242655716 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.236401
    • A. W. Sandvik, L. Balents, and D. K. Campbell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.236401 92, 236401 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 236401
    • Sandvik, A.W.1    Balents, L.2    Campbell, D.K.3
  • 17
    • 3242717947 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.246404
    • Y. Z. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 246404 92, 246404 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 246404
    • Zhang, Y.Z.1
  • 18
    • 32644482556 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.036408
    • K.-M. Tam, S.-W. Tsai, and D. K. Campbell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.036408 96, 036408 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 036408
    • Tam, K.-M.1    Tsai, S.-W.2    Campbell, D.K.3
  • 19
    • 0000128998 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.43.8644
    • M. P. Gelfand, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.8644 43, 8644 (1991);
    • (1991) Phys. Rev. B , vol.43 , pp. 8644
    • Gelfand, M.P.1
  • 20
    • 0000457618 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.48.10653
    • I. Bose and S. Gayen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48. 10653 48, 10653 (1993);
    • (1993) Phys. Rev. B , vol.48 , pp. 10653
    • Bose, I.1    Gayen, S.2
  • 21
    • 0000590410 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.52.12485
    • Y. Xian, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.12485 52, 12485 (1995);
    • (1995) Phys. Rev. B , vol.52 , pp. 12485
    • Xian, Y.1
  • 22
    • 0030559669 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.65.1387
    • H. Kitatani and T. Oguchi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.65.1387 65, 1387 (1996).
    • (1996) J. Phys. Soc. Jpn. , vol.65 , pp. 1387
    • Kitatani, H.1    Oguchi, T.2
  • 23
  • 25
    • 0034905283 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.63.134403
    • G. Fáth, Ö. Legeza, and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.134403 63, 134403 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 134403
    • Fáth, G.1    Legeza O.̈2    Sólyom, J.3
  • 26
    • 17044435204 scopus 로고    scopus 로고
    • PHYBE3 0921-4526
    • M. Nakamura, Physica B PHYBE3 0921-4526 329-333, 1000 (2003).
    • (2003) Physica B , vol.329-333 , pp. 1000
    • Nakamura, M.1
  • 27
    • 0000041926 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.57.11439
    • Zheng Weihong, V. Kotov, and J. Oitmaa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11439 57, 11439 (1998).
    • (1998) Phys. Rev. B , vol.57 , pp. 11439
    • Weihong, Z.1    Kotov, V.2    Oitmaa, J.3
  • 28
    • 0034689991 scopus 로고    scopus 로고
    • MPLBET 0217-9849 10.1142/S0217984900000458
    • X. Q. Wang, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984900000458 14, 327 (2000).
    • (2000) Mod. Phys. Lett. B , vol.14 , pp. 327
    • Wang, X.Q.1
  • 30
    • 19644390614 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.127202
    • O. A. Starykh and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.127202 93, 127202 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 127202
    • Starykh, O.A.1    Balents, L.2
  • 31
    • 84858893041 scopus 로고    scopus 로고
    • We also perform DMRG calculations for the case of J× =0.1 and J around 2 J× =0.2. Same conclusion is reached.
    • We also perform DMRG calculations for the case of J× =0.1 and J around 2 J× =0.2. Same conclusion is reached.
  • 32
    • 3442895828 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992);
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 33
    • 20044389808 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.48.10345
    • S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 10345
    • White, S.R.1
  • 34
    • 15744367987 scopus 로고    scopus 로고
    • DMRG technique has been extensively used in the studies of spin-chain systems. For example, see PRBMDO 0163-1829 10.1103/PhysRevB.71.054413
    • DMRG technique has been extensively used in the studies of spin-chain systems. For example, see H. H. Hung and C. D. Gong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.054413 71, 054413 (2005), and reference therein.
    • (2005) Phys. Rev. B , vol.71 , pp. 054413
    • Hung, H.H.1    Gong, C.D.2
  • 35
    • 0036575563 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.65.174406
    • P. Lecheminant and E. Orignac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.174406 65, 174406 (2001).
    • (2001) Phys. Rev. B , vol.65 , pp. 174406
    • Lecheminant, P.1    Orignac, E.2
  • 37
    • 33745477645 scopus 로고    scopus 로고
    • It is known that these string order parameters are not sufficient to characterize uniquely the RS and the DC phases, because both phases have even topological quantum number (i.e., Oodd =0 but Oeven ≠0) (Ref.). However, since the possibility of the DC phase is ruled out by our results in Figs. 1 2, the only possible phase with even topological quantum number is just the RS phase. One then can use string order parameters to locate the regions of the Haldane and the RS phases.
    • It is known that these string order parameters are not sufficient to characterize uniquely the RS and the DC phases, because both phases have even topological quantum number (i.e., Oodd =0 but Oeven ≠0) (Ref.). However, since the possibility of the DC phase is ruled out by our results in Figs. 1 2, the only possible phase with even topological quantum number is just the RS phase. One then can use string order parameters to locate the regions of the Haldane and the RS phases.
  • 38
    • 0001587663 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.21.3341
    • H. H. Roomany and H. W. Wyld, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.21.3341 21, 3341 (1980).
    • (1980) Phys. Rev. D , vol.21 , pp. 3341
    • Roomany, H.H.1    Wyld, H.W.2


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