|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Non-ergodic dynamics of the extended anisotropic Heisenberg chain | | Evgeny Plekhanov
; Adolfo Avella
; Ferdinando Mancini
; | | Date: |
6 Jun 2006 | | Subject: | Strongly Correlated Electrons; Statistical Mechanics | | Abstract: | The issue of ergodicity is often underestimated. The presence of zero-frequency excitations in bosonic Green’s functions determine the appearance of zero-frequency momentum-dependent quantities in correlation functions. The implicit dependence of matrix elements make such quantities also relevant in the computation of susceptibilities. Consequently, the correct determination of these quantities is of great relevance and the well-established practice of fixing them by assuming the ergodicity of the dynamics is quite questionable as it is not justifiable a priori by no means. In this manuscript, we have investigated the ergodicity of the dynamics of the $z$-component of the spin in the 1D Heisenberg model with anisotropic nearest-neighbor and isotropic next-nearest-neighbor interactions. We have obtained the zero-temperature phase diagram in the thermodynamic limit by extrapolating Exact and Lanczos diagonalization results computed on chains with sizes $L = 6 div 26$. Two distinct non-ergodic regions have been found: one for $J^prime/J_z lesssim 0.3$ and $ J_perp /J_z < 1$ and another for $J^prime/J_z lesssim 0.25$ and $ J_perp /J_z = 1$. On the contrary, finite-size scaling of $T
eq 0$ results, obtained by means of Exact diagonalization on chains with sizes $L = 4 div 18$, indicates an ergodic behavior of dynamics in the whole range of parameters. | | Source: | arXiv, cond-mat/0606152 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER