Quantum phase transition in the one-dimensional extended Peierls-Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 8, 2006, Pages

  Benthien, H ^a   Essler, F H L ^b   Grage, A ^a  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33244468549     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.085105     Document Type: Article

References (31)

1. R. Peierls, Quantum Theory of Solids (Clarendon Press, Oxford, 1956).
2. A. O. Gogolin, A. A. Nersesyan, and A. M. Tsvelik, Bosonization in Strongly Correlated Systems (Cambridge University Press, Cambridge 1999).
3. T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford, 2004).
4. F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Philos. Mag. B PMABDJ 1364-2812 75, 1 (1997).
5. T. Nakano and H. Fukuyama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.50.2489 50, 2489 (1981);
6. A. M. Tsvelik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.486 45, 486 (1992);
7. G. S. Uhrig and H.-J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R9624 54, R9624 (1996);
8. F. H. L. Essler, A. M. Tsvelik, and G. Delfino, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.11001 56, 11001 (1997).
9. A. Grage, F. Gebhard, and J. Rissler, J. Stat. Mech.: Theory Exp. 1742-5468 08009 (2005);
10. M. Dzierzawa and C. Mocanu, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/17/014 17, 2663 (2005).
11. M. Tsuchiizu and A. Furusaki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.035103 69, 035103 (2004).
12. M. Sugiura and Y. Suzumura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.71.697 71, 697 (2002).
13. The existence of an Ising transition in the quarter-filled extended Peierls-Hubbard model was established in M. Tsuchiizu and E. Orignac, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/S0022-3697(02)00014-8 63, 1459 (2002).
14. M. Fabrizio, A. O. Gogolin, and A. A. Nersesyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2014 83, 2014 (1999).
15. M. Fabrizio, A. O. Gogolin, and A. A. Nersesyan, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(00)00247-9 580, 647 (2000).
16. F. H. L. Essler, H. Frahm, F. Göhmann, A. Klümper, and V. E. Korepin, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, 2004).
17. A. Grage, Ph.D. thesis, Philipps-Universität Marburg, 2004.
18. J. Voit, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.4027 45, 4027 (1992).
19. J. W. Cannon and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.9435 41, 9435 (1990).
20. G. Delfino and G. Mussardo, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00063-7 516, 675 (1998).
21. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992).
22. M. Karowski and P. Weisz, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(78)90362-0 139, 455 (1978);
23. F. A. Smirnov, J. Phys. A JPHAC5 0305-4470 19, L575 (1986);
24. S. Lukyanov, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/ S0217732397002673 12, 2911 (1997);
25. H. Babujian, A. Fring, M. Karowski, and A. Zapletal, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00737-8 538, 535 (1999).
26. G. Delfino, G. Mussardo, and P. Simonetti, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00265-9 473, 469 (1996);
27. D. Controzzi and G. Mussardo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.021601 92, 021601 (2004).
28. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
29. E. Jeckelmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 236401 89, 236401 (2002).
30. S. R. Manmana, V. Meden, R. M. Noack, and K. Schönhammer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.155115 70, 155115 (2004).
31. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).