Charge-density-wave instabilities driven by multiple umklapp scattering

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 19, 2004, Pages

  Schmitteckert, Peter ^a   Werner, Ralph ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; CALCULATION; DENSITY; FERMION; LIGHT SCATTERING; MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; PHASE SEPARATION; THERMODYNAMICS;

EID: 42749107561     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.195115     Document Type: Article

References (27)

1. J. Sólyom, Adv. Phys. 28, 201 (1979).
2. M. Karbach and G. Müller, Comput. Phys. 11, 36 (1997).
3. A.O. Gogolin, A.A. Nersesyan, and A.M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, Cambridge, 1998).
4. C. Bourbonnais, J. Phys. IV 10, 73 (2000).
5. F.H.L. Essler and A.M. Tsvelik, Phys. Rev. Lett. 88, 096403 (2002).
6. To be specific, we use (anti-) periodic boundary conditions for (even) odd N to avoid odd-even effects.
7. F.H.L. Essler, A.M. Tsvelik, and G. Delfino, Phys. Rev. B 56, 11001 (1997).
8. F.D.M. Haldane, Phys. Rev. B 25, 4925 (1982).
9. H. Yoshioka, M. Tsuchiizu, and Y. Suzumura, J. Phys. Soc. Jpn. 70, 762 (2001).
10. J. Riera and D. Poilblanc, Phys. Rev. B 59, 2667 (1999).
11. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); S.R. White and R.M. Noack, ibid. 68, 3487 (1992); S.R. White, Phys. Rev. B 48, 10 345 (1993); in Density Matrix Renormalization - A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999).
12. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); S.R. White and R.M. Noack, ibid. 68, 3487 (1992); S.R. White, Phys. Rev. B 48, 10 345 (1993); in Density Matrix Renormalization - A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999).
13. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); S.R. White and R.M. Noack, ibid. 68, 3487 (1992); S.R. White, Phys. Rev. B 48, 10 345 (1993); in Density Matrix Renormalization - A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999).
14. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); S.R. White and R.M. Noack, ibid. 68, 3487 (1992); S.R. White, Phys. Rev. B 48, 10 345 (1993); in Density Matrix Renormalization - A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999).
15. W. Kohn, Phys. Rev. 133, 171 (1964).
16. J.M. Ziman, Elements of Advanced Quantum Theory (Cambridge University Press, Cambridge, 1969).
17. 1-N.
18. S. Capponi, D. Poilblanc, and T. Giamarchi, Phys. Rev. B 61, 13 410 (2000).
19. J. des Cloizaux and M. Gaudin, J. Math. Phys. 7, 1384 (1966).
20. C.N. Yang and C.P. Yang, Phys. Rev. 151, 258 (1966).
21. N. Laflorencie, S. Capponi, and E. Sørensen, Eur. Phys. J. B 24, 77 (2001).
22. R.D. Somma and A.A. Aligia, Phys. Rev. B 64, 024410 (2001).
23. In contrast to an enhancement of C at the transition between two insulating states in [P. Schmitteckert, R.A. Jalabert, D. Weinmann, and J.-L. Pichard, Phys. Rev. Lett. 81, 2308 (1998); D. Weinmann, P. Schmitteckert, R.A. Jalabert, and J.-L. Pichard, Eur. Phys. J. B 19, 139 (2001)] we find clear signatures of two phase transitions from level crossing, indicating a true non-ordered phase.
24. In contrast to an enhancement of C at the transition between two insulating states in [P. Schmitteckert, R.A. Jalabert, D. Weinmann, and J.-L. Pichard, Phys. Rev. Lett. 81, 2308 (1998); D. Weinmann, P. Schmitteckert, R.A. Jalabert, and J.-L. Pichard, Eur. Phys. J. B 19, 139 (2001)] we find clear signatures of two phase transitions from level crossing, indicating a true non-ordered phase.
25. G. Gómez-Santos, Phys. Rev. Lett. 70, 3780 (1993).
26. V.E. Korepin, N.M. Bogoliubov, and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
27. A. Rosch and N. Andrei, Phys. Rev. Lett. 85, 1092 (2000).