Abstract
The information contained in the density matrix allows one to truncate a large phononic Hilbert space without significant loss of accuracy. Thus, it is possible to study electron-phonon systems numerically with great accuracy. Coupled to a powerful numerical methods such as DMRG these approaches enable us to treat very large systems. These techniques could greatly improve our capability to perform numerical studies of many problems, such as electron-phonon systems, which involve a large or infinite Hilbert space.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
S.R. White, Phys. Rev. Lett. 69, 2863 (1992); Phys. Rev. B 48, 10 345 (1993)
S.R. White, Phys. Rev. Lett. 77, 3633 (1996)
G. Wellein and H. Fehske, Phys. Rev. B 58, 6208 (1998)
E.V.L. de Mello and J. Ranninger, Phys. Rev. B 55, 14 872 (1997)
H. Fehske, J. Loos, and G. Wellein, Z. Phys. B 104, 619 (1997)
M. Capone, W. Stephan, and M. Grilli, Phys. Rev. B 56, 4484 (1997)
A. Weisse and H. Fehske, Phys. Rev. B 58, 13 526 (1998)
L.G. Caron and S. Moukouri, Phys. Rev. Lett. 76, 4050 (1996)
L.G. Caron and S. Moukouri, Phys. Rev. B 56, 8471 (1997)
E. Jeckelmann and S.R. White, Phys. Rev. B 57, 6376 (1998)
C. Zhang, E. Jeckelmann, and S.R. White, Phys. Rev. Lett. 80, 2661 (1998)
R.J. Bursill, R.H. McKenzie and C.J. Hamer, Phys. Rev. Lett. 80, 5607 (1998)
T. Holstein, Ann. Phys. (N.Y.) 8, 325 (1959); 8, 343 (1959)
C. Zhang, E. Jeckelmann and S.R. White, in preparation
R.V. Pai, R. Pandit, H.R. Krishnamurthy and S. Ramasesha, Phys. Rev. Lett. 76, 2937 (1996)
T.D. Kühner and H. Monien, Phys. Rev. B 58, R14741 (1998)
R.M. Noack, S.R. White and D.J. Scalapino, in D.P. Landau, K.-K. Mon, and H.-B. Schüttler (Eds.), Computer Simulations in Condensed Matter Physics VII, Springer (1994)
A.H. Romero, D.W. Brown, and K. Lindenberg, J. Chem. Phys. 109, 6540 (1998)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag
About this paper
Cite this paper
Jeckelmann, E., Zhang, C., White, S.R. (1999). Methods for electron-phonon systems. In: Peschel, I., Kaulke, M., Wang, X., Hallberg, K. (eds) Density-Matrix Renormalization. Lecture Notes in Physics, vol 528. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106085
Download citation
DOI: https://doi.org/10.1007/BFb0106085
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66129-0
Online ISBN: 978-3-540-48750-0
eBook Packages: Springer Book Archive