메뉴 건너뛰기




Volumn 111, Issue 3, 2013, Pages

Constructing a gapless spin-liquid state for the spin-1/2 J 1-J2 heisenberg model on a square lattice

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC HEISENBERG MODELS; CORRELATION FUNCTION; CYLINDRICAL GEOMETRY; ENTANGLEMENT ENTROPY; OPTIMUM PARAMETERS; PROJECTED ENTANGLED PAIR STATE; RESONATING VALENCE BONDS; VARIATIONAL PARAMETERS;

EID: 84880561920     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.037202     Document Type: Article
Times cited : (171)

References (31)
  • 1
    • 0015586907 scopus 로고
    • MRBUAC 0025-5408 10.1016/0025-5408(73)90167-0
    • P. W. Anderson, Mater. Res. Bull. 8, 153 (1973). MRBUAC 0025-5408 10.1016/0025-5408(73)90167-0
    • (1973) Mater. Res. Bull. , vol.8 , pp. 153
    • Anderson, P.W.1
  • 2
    • 0023646228 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.235.4793.1196
    • P. W. Anderson, Science 235, 1196 (1987). SCIEAS 0036-8075 10.1126/science.235.4793.1196
    • (1987) Science , vol.235 , pp. 1196
    • Anderson, P.W.1
  • 3
    • 33244496175 scopus 로고    scopus 로고
    • Doping a Mott insulator: Physics of high-temperature superconductivity
    • DOI 10.1103/RevModPhys.78.17
    • P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.17 (Pubitemid 43279669)
    • (2006) Reviews of Modern Physics , vol.78 , Issue.1
    • Lee, P.A.1    Nagaosa, N.2    Wen, X.-G.3
  • 4
    • 78649704514 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.180408
    • A. F. Albuquerque and F. Alet, Phys. Rev. B 82, 180408(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.180408
    • (2010) Phys. Rev. B , vol.82
    • Albuquerque, A.F.1    Alet, F.2
  • 5
    • 82455194908 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.174427
    • Y. Tang, A. W. Sandvik, and C. L. Henley, Phys. Rev. B 84, 174427 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.174427
    • (2011) Phys. Rev. B , vol.84 , pp. 174427
    • Tang, Y.1    Sandvik, A.W.2    Henley, C.L.3
  • 8
    • 84867240749 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.109.147208
    • J. Wildeboer and A. Seidel, Phys. Rev. Lett. 109, 147208 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.147208
    • (2012) Phys. Rev. Lett. , vol.109 , pp. 147208
    • Wildeboer, J.1    Seidel, A.2
  • 9
    • 84867266990 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.109.147209
    • F. Yang and H. Yao, Phys. Rev. Lett. 109, 147209 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.147209
    • (2012) Phys. Rev. Lett. , vol.109 , pp. 147209
    • Yang, F.1    Yao, H.2
  • 10
    • 79957945867 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1201080
    • S. Yan, D. A. Huse, and S. R. White, Science 332, 1173 (2011). SCIEAS 0036-8075 10.1126/science.1201080
    • (2011) Science , vol.332 , pp. 1173
    • Yan, S.1    Huse, D.A.2    White, S.R.3
  • 12
    • 84864452208 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.86.024424
    • H.-C. Jiang, H. Yao, and L. Balents, Phys. Rev. B 86, 024424 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.024424
    • (2012) Phys. Rev. B , vol.86 , pp. 024424
    • Jiang, H.-C.1    Yao, H.2    Balents, L.3
  • 13
    • 84880549690 scopus 로고    scopus 로고
    • L. Wang, Z.-C. Gu, F. Verstraete, and X.-G. Wen, arXiv:1112.3331
    • L. Wang, Z.-C. Gu, F. Verstraete, and X.-G. Wen, arXiv:1112.3331.
  • 14
    • 4143101800 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.61.365
    • S. Liang, B. Doucot, and P. W. Anderson, Phys. Rev. Lett. 61, 365 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.365
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 365
    • Liang, S.1    Doucot, B.2    Anderson, P.W.3
  • 15
    • 33751231112 scopus 로고    scopus 로고
    • Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states
    • DOI 10.1103/PhysRevB.74.174423
    • F. Wang and A. Vishwanath, Phys. Rev. B 74, 174423 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.174423 (Pubitemid 44791132)
    • (2006) Physical Review B - Condensed Matter and Materials Physics , vol.74 , Issue.17 , pp. 174423
    • Wang, F.1    Vishwanath, A.2
  • 16
    • 33947226050 scopus 로고    scopus 로고
    • Projected-wave-function study of the spin-1/2 heisenberg model on the kagomé lattice
    • DOI 10.1103/PhysRevLett.98.117205
    • Y. Ran, M. Hermele, P. A. Lee, and X.-G. Wen, Phys. Rev. Lett. 98, 117205 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.117205 (Pubitemid 46434373)
    • (2007) Physical Review Letters , vol.98 , Issue.11 , pp. 117205
    • Ran, Y.1    Hermele, M.2    Lee, P.A.3    Wen, X.-G.4
  • 17
    • 79961179085 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.020404
    • T. Tay and O. I. Motrunich, Phys. Rev. B 84, 020404(R) (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.020404
    • (2011) Phys. Rev. B , vol.84
    • Tay, T.1    Motrunich, O.I.2
  • 18
    • 82655179088 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.84.193102
    • T. Tay and O. I. Motrunich, Phys. Rev. B 84, 193102 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.193102
    • (2011) Phys. Rev. B , vol.84 , pp. 193102
    • Tay, T.1    Motrunich, O.I.2
  • 19
    • 77956549025 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.024419
    • F. Wang, Phys. Rev. B 82, 024419 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.024419
    • (2010) Phys. Rev. B , vol.82 , pp. 024419
    • Wang, F.1
  • 20
    • 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). PRLTAO 0031-9007 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
  • 21
    • 84880527459 scopus 로고    scopus 로고
    • In the supplemental material, we showed that the RVB wave function has no same lattice pairings; we present an oriented string picture to rationalize the logarithmic correction to the entanglement entropy; this correction is further evidenced by the results from entanglement spectra and boundary Hamiltonian; finally, we provide the finite size scaling to establish the best variational parameter c and the variational ground state energy in the thermodynamic limit. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.037202.
  • 23
    • 33744712217 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.41.9377
    • X. G. Wen and Q. Niu, Phys. Rev. B 41, 9377 (1990). PRBMDO 0163-1829 10.1103/PhysRevB.41.9377
    • (1990) Phys. Rev. B , vol.41 , pp. 9377
    • Wen, X.G.1    Niu, Q.2
  • 24
    • 0009198111 scopus 로고
    • IJPBEV 0217-9792 10.1142/S0217979291001541
    • X. G. Wen, Int. J. Mod. Phys. B 05, 1641 (1991). IJPBEV 0217-9792 10.1142/S0217979291001541
    • (1991) Int. J. Mod. Phys. B , vol.5 , pp. 1641
    • Wen, X.G.1
  • 25
    • 84877075085 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.87.140407
    • D. Poilblanc and N. Schuch, Phys. Rev. B 87, 140407 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.140407
    • (2013) Phys. Rev. B , vol.87 , pp. 140407
    • Poilblanc, D.1    Schuch, N.2
  • 26
    • 79961070436 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.134421
    • L. Wang, I. Pizorn, and F. Verstraete, Phys. Rev. B 83, 134421 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.134421
    • (2011) Phys. Rev. B , vol.83 , pp. 134421
    • Wang, L.1    Pizorn, I.2    Verstraete, F.3
  • 31
    • 84865092864 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.86.075111
    • T. Li, F. Becca, W. Hu, and S. Sorella, Phys. Rev. B 86, 075111 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.075111
    • (2012) Phys. Rev. B , vol.86 , pp. 075111
    • Li, T.1    Becca, F.2    Hu, W.3    Sorella, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.