Spectral function for the S=1 Heisenberg antiferromagetic chain

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 13, 2008, Pages

  White, Steven R ^a   Affleck, Ian ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42549118557     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.134437     Document Type: Article

References (21)

1. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992);
2. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993).
3. See also U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.259 77, 259 (2005);
4. K. Hallberg, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730600766432 55, 477 (2006).
5. For earlier DMRG approaches to dynamics for the S=1 and S=1 2 Heisenberg chains, see K. A. Hallberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52. R9827 52, R9827 (1995);
6. T. D. Kühner and S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.335 60, 335 (1999) and references therein.
7. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003);
8. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
9. For an earlier approach, see M. A. Cazalilla and J. B. Marston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.256403 88, 256403 (2002).
10. S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004).
11. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004), P04005.
12. S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004).
13. Rodrigo G. Pereira, Steven R. White, and Ian Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.027206 100, 027206 (2008).
14. E. Forest and R. D. Ruth, Physica D PDNPDT 0167-2789 10.1016/0167- 2789(90)90019-L 43, 105 (1990);
15. See also I. P. Omelyan, I. M. Mryglod, and R. Folk, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(02)00451-4 146, 188 (2002).
16. See W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University Press, 1992), Sec. 13.6. We perform a complex generalization of the extrapolation described there, and we control for unstable, exponentially growing modes by reflecting them into the unit circle.
17. S. R. White and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.3844 48, 3844 (1993).
18. I. Affleck and R. A. Weston, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.4667 45, 4667 (1992).
19. M. D. P. Horton and I. Affleck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.11891 60, 11891 (1999);
20. see also F. H. L. Essler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.3264 62, 3264 (2000).
21. E. S. Sorensen and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.1633 71, 1633 (1993).