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Volumn 82, Issue 6, 2010, Pages

Symmetry breaking and criticality in tensor-product states

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EID: 77957579056     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.060410     Document Type: Article
Times cited : (41)

References (30)
  • 2
  • 4
    • 3442895828 scopus 로고
    • 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
  • 5
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • DOI 10.1103/RevModPhys.77.259
    • U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). 10.1103/RevModPhys. 77.259 (Pubitemid 41490660)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 259-315
    • Schollwock, U.1
  • 7
    • 33744788653 scopus 로고    scopus 로고
    • Criticality, the area law, and the computational power of projected entangled pair states
    • DOI 10.1103/PhysRevLett.96.220601
    • F. Verstraete, M. M. Wolf, D. Perez-Garcia, and J. I. Cirac, Phys. Rev. Lett. 96, 220601 (2006). 10.1103/PhysRevLett.96.220601 (Pubitemid 43839573)
    • (2006) Physical Review Letters , vol.96 , Issue.22 , pp. 220601
    • Verstraete, F.1    Wolf, M.M.2    Perez-Garcia, D.3    Cirac, J.I.4
  • 8
    • 34447630838 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.76.035114
    • M. B. Hastings, Phys. Rev. B 76, 035114 (2007). 10.1103/PhysRevB.76. 035114
    • (2007) Phys. Rev. B , vol.76 , pp. 035114
    • Hastings, M.B.1
  • 10
    • 33846978099 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.98.070201
    • G. Vidal, Phys. Rev. Lett. 98, 070201 (2007). 10.1103/PhysRevLett.98. 070201
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 070201
    • Vidal, G.1
  • 11
    • 77957578060 scopus 로고    scopus 로고
    • arXiv:0804.2509 (unpublished).
    • I. McCulloch, arXiv:0804.2509 (unpublished).
    • McCulloch, I.1
  • 12
    • 4344570203 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.93.040502
    • G. Vidal, Phys. Rev. Lett. 93, 040502 (2004). 10.1103/PhysRevLett.93. 040502
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 040502
    • Vidal, G.1
  • 15
    • 77957592467 scopus 로고    scopus 로고
    • arXiv:cond-mat/0407066 (unpublished).
    • F. Verstraete and J. Cirac, arXiv:cond-mat/0407066 (unpublished).
    • Verstraete, F.1    Cirac, J.2
  • 17
    • 70349976288 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.80.094403
    • R. Orús and G. Vidal, Phys. Rev. B 80, 094403 (2009). 10.1103/PhysRevB.80.094403
    • (2009) Phys. Rev. B , vol.80 , pp. 094403
    • Orús, R.1    Vidal, G.2
  • 20
    • 57249105556 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.78.205116
    • Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B 78, 205116 (2008). 10.1103/PhysRevB.78.205116
    • (2008) Phys. Rev. B , vol.78 , pp. 205116
    • Gu, Z.-C.1    Levin, M.2    Wen, X.-G.3
  • 23
    • 36649005167 scopus 로고    scopus 로고
    • Variational quantum Monte Carlo simulations with tensor-network states
    • DOI 10.1103/PhysRevLett.99.220602
    • A. W. Sandvik and G. Vidal, Phys. Rev. Lett. 99, 220602 (2007). 10.1103/PhysRevLett.99.220602 (Pubitemid 350198451)
    • (2007) Physical Review Letters , vol.99 , Issue.22 , pp. 220602
    • Sandvik, A.W.1    Vidal, G.2
  • 24
    • 77957559344 scopus 로고    scopus 로고
    • We have compared 64-bit D=4 results with TEBD calculations (also 64 bit), (private communication). The energies agree perfectly to 15-digit precision, whereas the TEBD magnetization is typically somewhat closer to the final result of the 128-bit stochastic calculation. Since m can fluctuate by some amount Δm without changing the energy at a given level of precision, the result within ± Δm depends on details of the optimization method and the starting state. Even for D as small as 4, the TEBD calculation also converges very slowly to full 64-bit precision (taking several days close to hc).
    • We have compared 64-bit D = 4 results with TEBD calculations (also 64 bit), I. McCulloch (private communication). The energies agree perfectly to 15-digit precision, whereas the TEBD magnetization is typically somewhat closer to the final result of the 128-bit stochastic calculation. Since m can fluctuate by some amount Δ m without changing the energy at a given level of precision, the result within ± Δ m depends on details of the optimization method and the starting state. Even for D as small as 4, the TEBD calculation also converges very slowly to full 64-bit precision (taking several days close to h c).
    • McCulloch, I.1
  • 25
    • 0039672087 scopus 로고
    • 10.1088/0022-3719/4/5/011
    • P. W. Anderson and G. Yuval, J. Phys. C 4, 607 (1971). 10.1088/0022-3719/4/5/011
    • (1971) J. Phys. C , vol.4 , pp. 607
    • Anderson, P.W.1    Yuval, G.2
  • 28
    • 33744713096 scopus 로고
    • 10.1007/BF01011693;
    • R. J. Baxter, J. Stat. Phys. 19, 461 (1978) 10.1007/BF01011693
    • (1978) J. Stat. Phys. , vol.19 , pp. 461
    • Baxter, R.J.1
  • 29
    • 0040300102 scopus 로고
    • 10.1007/BF01013748
    • S. K. Tsang, J. Stat. Phys. 20, 95 (1979). 10.1007/BF01013748
    • (1979) J. Stat. Phys. , vol.20 , pp. 95
    • Tsang, S.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.