Plaquette renormalization scheme for tensor network states

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 5, 2011, Pages

  Wang, Ling ^a,b   Kao, Ying Jer ^c   Sandvik, Anders W ^a,c  

^a USA   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

^c NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

MEAN-FIELD; NETWORK STATE; QUANTUM PHASE TRANSITIONS; RENORMALIZATION; SQUARE-LATTICE; TEST RESULTS; TRANSVERSE-FIELD ISING MODEL; TWO-DIMENSION;

ISING MODEL; QUANTUM THEORY;

TENSORS;

EID: 79961040283     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.056703     Document Type: Article

References (26)

1. H. Takasaki, T. Hikihara, and T. Nishino, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.68.1537 68, 1537 (1999);
2. T. Nishino, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(00)00133-4 575, 504 (2000).
3. F. Verstraete, M. M. Wolf, D. Perez-Garcia, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.220601 96, 220601 (2006). (Pubitemid 43839573)
4. Y.-Y. Shi, L.-M. Duan, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022320 74, 022320 (2006). (Pubitemid 44274283)
5. S. Östlund and S. Rommer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537 75, 3537 (1995).
6. F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.227205 93, 227205 (2004). (Pubitemid 40072806)
7. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
8. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005). (Pubitemid 41490660)
9. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.220405 99, 220405 (2007); (Pubitemid 350191565)
10. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 110501 101, 110501 (2008);
11. G. Evenbly and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.180406 102, 180406 (2009).
12. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
13. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.040501 100, 040501 (2008). (Pubitemid 351191356)
14. A. W. Sandvik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 140603 101, 140603 (2008).
15. Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.205116 78, 205116 (2008).
16. H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008).
17. M. Levin and C. P. Nave, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.120601 99, 120601 (2007). (Pubitemid 47443738)
18. A. W. Sandvik and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.220602 99, 220602 (2007). (Pubitemid 350198451)
19. J. Lou and A. W. Sandvik, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.104432 76, 104432 (2007).
20. H. Rieger and N. Kawashima, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050761 9, 233 (1999).
21. The IBM BlueGene/L at the Center for Computational Science at Boston University.
22. C. Liu, L. Wang, A. W. Sandvik, Y.-C. Su, and Y.-J. Kao, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.82.060410 82, 060410 (2010).
23. A. W. Sandvik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.056701 68, 056701 (2003).
24. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.140506 98, 140506 (2007). (Pubitemid 46557467)
25. See [http://gpgpu.org] for articles and discussion of general-purpose computing with GPUs.
26. J. F. Yu, H.-C. Hsiao, and Y.-J. Kao, Computers in Fluids 0045-7930 10.1016/j.compfluid.2010.10.012 45, 55 (2011).