| Authors: |
M. Tezuka
and R. Arita
and H. Aoki
|
| Editors: |
Luciano Pietronero
and Vittorio Loreto
and Stefano Zapperi
|
| URL: |
http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=515 |
| Tags: |
correlated
density-matrix
electron-phonon
electrons
group
interaction
metal-insulator
renormalization
statphys23
strongly
superconductivity
topic-8
transition
|
| Abstract: |
Problem of coexisting electron-electron($U$) and
electron-phonon($\lambda$) interactions is investigated for the
Hubbard-Holstein model with the density-matrix renormalization group
(DMRG). An improved algorithm[1] has enabled us to calculate various
correlation functions to derive a phase diagram for (i) the
half-filled and (ii) non-half-filled chains, and (iii) a half-filled
zigzag lattice where the electron-hole symmetry is broken. For (i), a
phase diagram against $U$, $\lambda$ and $\omega_0$(phonon frequency)
is obtained[2]. There is a region where both the charge and on-site
pairing correlations decay with power-laws in real-space distance,
which suggests a metallic behavior. While superconducting
correlations do not become a single dominant phase in (i) [3,4], they
do in (ii) and (iii). Relations to existing theories will also be discussed.
1) Masaki Tezuka, cond-mat/0702242; to be published in J. Phys. Soc. Jpn.\\
2) M. Tezuka, R. Arita and H. Aoki, in preparation.\\
3) M. Tezuka, R. Arita and H. Aoki, Physica B {\bf 359-361}, 708 (2005).\\
4) M. Tezuka, R. Arita and H. Aoki, Phys. Rev. Lett. {\bf 95}, 226401 (2005). |
@incollection{statphys23_0515,
title = {Phase Diagram of the Hubbard-Holstein Model Obtained with an Improved DMRG Algorithm},
address = {Genova, Italy},
author = {M. Tezuka and R. Arita and H. Aoki},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=515},
year = {2007},
abstract = {Problem of coexisting electron-electron($U$) and
electron-phonon($\lambda$) interactions is investigated for the
Hubbard-Holstein model with the density-matrix renormalization group
(DMRG). An improved algorithm[1] has enabled us to calculate various
correlation functions to derive a phase diagram for (i) the
half-filled and (ii) non-half-filled chains, and (iii) a half-filled
zigzag lattice where the electron-hole symmetry is broken. For (i), a
phase diagram against $U$, $\lambda$ and $\omega_0$(phonon frequency)
is obtained[2]. There is a region where both the charge and on-site
pairing correlations decay with power-laws in real-space distance,
which suggests a metallic behavior. While superconducting
correlations do not become a single dominant phase in (i) [3,4], they
do in (ii) and (iii). Relations to existing theories will also be discussed.
1) Masaki Tezuka, cond-mat/0702242; to be published in J. Phys. Soc. Jpn.\\
2) M. Tezuka, R. Arita and H. Aoki, in preparation.\\
3) M. Tezuka, R. Arita and H. Aoki, Physica B {\bf 359-361}, 708 (2005).\\
4) M. Tezuka, R. Arita and H. Aoki, Phys. Rev. Lett. {\bf 95}, 226401 (2005).},
keywords = {correlated density-matrix electron-phonon electrons group interaction metal-insulator renormalization statphys23 strongly superconductivity topic-8 transition }
}
::