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Volumn 86, Issue 4, 2012, Pages

Coarse-graining renormalization by higher-order singular value decomposition

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84864585916     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.045139     Document Type: Article
Times cited : (513)

References (49)
  • 1
    • 0000544073 scopus 로고    scopus 로고
    • ZPCMDN 0722-3277 10.1007/s002570050425
    • H. Niggemann, A. Klumper, and J. Zittartz, Z. Phys. B ZPCMDN 0722-3277 10.1007/s002570050425 104, 103 (1997).
    • (1997) Z. Phys. B , vol.104 , pp. 103
    • Niggemann, H.1    Klumper, A.2    Zittartz, J.3
  • 2
    • 84864620846 scopus 로고    scopus 로고
    • F. Verstraete and J. I. Cirac, arXiv: cond-mat/0407066
    • F. Verstraete and J. I. Cirac, arXiv: cond-mat/0407066.
  • 3
    • 34548847751 scopus 로고    scopus 로고
    • Tensor renormalization group approach to two-dimensional classical lattice models
    • DOI 10.1103/PhysRevLett.99.120601
    • M. Levin and C. P. Nave, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.120601 99, 120601 (2007). (Pubitemid 47443738)
    • (2007) Physical Review Letters , vol.99 , Issue.12 , pp. 120601
    • Levin, M.1    Nave, C.P.2
  • 4
    • 50849087740 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603
    • H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 090603
    • Jiang, H.C.1    Weng, Z.Y.2    Xiang, T.3
  • 5
    • 57249105556 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.78.205116
    • Z. C. Gu, M. Levin, and X. G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.205116 78, 205116 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 205116
    • Gu, Z.C.1    Levin, M.2    Wen, X.G.3
  • 10
    • 79961068112 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.83.052321
    • I. Pizorn, L. Wang, and F. Verstraete, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.052321 83, 052321 (2011).
    • (2011) Phys. Rev. A , vol.83 , pp. 052321
    • Pizorn, I.1    Wang, L.2    Verstraete, F.3
  • 11
    • 0032280191 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.67.3066
    • T. Nishino and K. Okunishi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.67.3066 67, 3066 (1998).
    • (1998) J. Phys. Soc. Jpn. , vol.67 , pp. 3066
    • Nishino, T.1    Okunishi, K.2
  • 12
    • 0034145398 scopus 로고    scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.103.541
    • K. Okunishi and T. Nishino, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.103.541 103, 541 (2000).
    • (2000) Prog. Theor. Phys. , vol.103 , pp. 541
    • Okunishi, K.1    Nishino, T.2
  • 17
    • 84864587519 scopus 로고    scopus 로고
    • A. Garcia-Saez and J. I. Latorre, arXiv: 1112.1412
    • A. Garcia-Saez and J. I. Latorre, arXiv: 1112.1412.
  • 18
    • 84864582725 scopus 로고    scopus 로고
    • Z. C. Gu, M. Levin, and X. G. Wen (unpublished)
    • Z. C. Gu, M. Levin, and X. G. Wen (unpublished).
  • 19
    • 84861547981 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.85.205117
    • R. Orus, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.205117 85, 205117 (2012).
    • (2012) Phys. Rev. B , vol.85 , pp. 205117
    • Orus, R.1
  • 22
    • 55349142218 scopus 로고    scopus 로고
    • V. de. Silva and, SJMAEL 0895-4798 10.1137/06066518X
    • V. de. Silva and L. H. Lim, SIAM J. Matrix Anal. Appl. SJMAEL 0895-4798 10.1137/06066518X 30, 1084 (2008).
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , pp. 1084
    • Lim, L.H.1
  • 23
    • 84864587521 scopus 로고    scopus 로고
    • D. J. Luo, C. Ding, and H. Huang, arXiv: 0902.4521
    • D. J. Luo, C. Ding, and H. Huang, arXiv: 0902.4521;
  • 25
    • 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
  • 26
    • 84864610708 scopus 로고    scopus 로고
    • In general, the bond density matrix may not be Hermitian. In this case one should diagonalize this matrix using the canonical transformation, rather than the unitary transformation.
    • In general, the bond density matrix may not be Hermitian. In this case one should diagonalize this matrix using the canonical transformation, rather than the unitary transformation.
  • 27
    • 36149012281 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.65.117
    • L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.65.117 65, 117 (1944).
    • (1944) Phys. Rev. , vol.65 , pp. 117
    • Onsager, L.1
  • 28
    • 77749337784 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.81.031103
    • X. M. Feng and H. W. J. Blote, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.031103 81, 031103 (2010).
    • (2010) Phys. Rev. e , vol.81 , pp. 031103
    • Feng, X.M.1    Blote, H.W.J.2
  • 29
    • 42749108170 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.67.066109
    • H. Arisue and T. Fujiwara, Phys. Rev. E 1539-3755 10.1103/PhysRevE.67. 066109 67, 066109 (2003).
    • (2003) Phys. Rev. e , vol.67 , pp. 066109
    • Arisue, H.1    Fujiwara, T.2
  • 30
    • 0346406809 scopus 로고    scopus 로고
    • IJMPEO 0129-1831 10.1142/S0129183101002383
    • M. Hasenbusch, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/ S0129183101002383 12, 911 (2001).
    • (2001) Int. J. Mod. Phys. C , vol.12 , pp. 911
    • Hasenbusch, M.1
  • 31
    • 4243864679 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.60.6749
    • P. Butera and M. Comi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60. 6749 60, 6749 (1999).
    • (1999) Phys. Rev. B , vol.60 , pp. 6749
    • Butera, P.1    Comi, M.2
  • 32
    • 0002652205 scopus 로고
    • PHYADX 0378-4371 10.1016/0378-4371(89)90109-X
    • A. J. Liu and M. E. Fisher, Physica A PHYADX 0378-4371 10.1016/0378-4371(89)90109-X 156, 35 (1989).
    • (1989) Physica A , vol.156 , pp. 35
    • Liu, A.J.1    Fisher, M.E.2
  • 34
    • 0039447820 scopus 로고    scopus 로고
    • JPHAC5 1361-6447 10.1088/0305-4470/31/29/007
    • M. Hasenbusch and A. Pinn, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/31/29/007 31, 6157 (1998).
    • (1998) J. Phys. A , vol.31 , pp. 6157
    • Hasenbusch, M.1    Pinn, A.2
  • 35
    • 33744617181 scopus 로고
    • JPHAC5 1361-6447 10.1088/0305-4470/15/8/038
    • S. J. K. Jensen and O. G. Mouritsen, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/15/8/038 15, 2631 (1982).
    • (1982) J. Phys. A , vol.15 , pp. 2631
    • Jensen, S.J.K.1    Mouritsen, O.G.2
  • 38
    • 78649710440 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.174433
    • M. Hasenbusch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.174433 82, 174433 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 174433
    • Hasenbusch, M.1
  • 39
    • 0242579555 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.68.036125
    • Y. J. Deng and H. W. J. Blote, Phys. Rev. E 1539-3755 10.1103/PhysRevE.68.036125 68, 036125 (2003).
    • (2003) Phys. Rev. e , vol.68 , pp. 036125
    • Deng, Y.J.1    Blote, H.W.J.2
  • 40
    • 0009510135 scopus 로고    scopus 로고
    • IJMPEO 0129-1831 10.1142/S0129183196000247
    • R. Gupta and P. Tamayo, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183196000247 7, 305 (1996).
    • (1996) Int. J. Mod. Phys. C , vol.7 , pp. 305
    • Gupta, R.1    Tamayo, P.2
  • 41
    • 0034451726 scopus 로고    scopus 로고
    • 23 of the high-temperature expansions for the spin-1/2 Ising model on simple cubic and body-centered cubic lattices
    • DOI 10.1103/PhysRevB.62.14837
    • P. Butera and M. Comi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62. 14837 62, 14837 (2000). (Pubitemid 32323697)
    • (2000) Physical Review B - Condensed Matter and Materials Physics , vol.62 , Issue.22 , pp. 14837-14843
    • Butera, P.1    Comi, M.2
  • 44
    • 0039611642 scopus 로고
    • JPHAC5 1361-6447 10.1088/0305-4470/23/10/018
    • H. X. He, C. J. Hamer, and J. Oitmaa, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/23/10/018 23, 1775 (1990);
    • (1990) J. Phys. A , vol.23 , pp. 1775
    • He, H.X.1    Hamer, C.J.2    Oitmaa, J.3
  • 45
    • 0039562208 scopus 로고
    • JPHAC5 1361-6447 10.1088/0305-4470/24/12/024
    • J. Oitmaa, C. J. Hamer, and W. H. Zheng, J. Phys. A JPHAC5 1361-6447 10.1088/0305-4470/24/12/024 24, 2863 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 2863
    • Oitmaa, J.1    Hamer, C.J.2    Zheng, W.H.3
  • 47
    • 0000103637 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.56.5061
    • X. Wang and T. Xiang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56. 5061 56, 5061 (1997).
    • (1997) Phys. Rev. B , vol.56 , pp. 5061
    • Wang, X.1    Xiang, T.2
  • 48
    • 84864582726 scopus 로고    scopus 로고
    • S. J. Ran, W. Li, X. Xi, Z. Zhang, and G. Su, arXiv: 1205.5636
    • S. J. Ran, W. Li, X. Xi, Z. Zhang, and G. Su, arXiv: 1205.5636.
  • 49
    • 70349976288 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.80.094403
    • R. Orus and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80. 094403 80, 094403 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 094403
    • Orus, R.1    Vidal, G.2


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