scholarly journals One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
F. Hébert ◽  
Bo Xiao ◽  
V. G. Rousseau ◽  
R. T. Scalettar ◽  
G. G. Batrouni
2007 ◽  
Vol 21 (23n24) ◽  
pp. 4230-4233 ◽  
Author(s):  
QING-BAO REN ◽  
QING-HU CHEN

A concise variational approach is to propose to calculate the ground-state properties of none-dimensional Holstein model. The results in the weak and strong coupling limit can be easily recovered analytically. It is shown that, in the nontrivial intermediate electron-phonon coupling regime, the present results are in good agreement with those by density-matrix renormalization group and numerical exact diagonalizations. The present approach is more concise than any other analytical ones in this field, and can be easily generalized to Holstein models in higher dimensions and with more electrons.


1998 ◽  
Vol 109 (19) ◽  
pp. 8514-8520 ◽  
Author(s):  
Kazunari Yoshizawa ◽  
Takashi Kato ◽  
Tokio Yamabe

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
L. Kang ◽  
X. Du ◽  
J. S. Zhou ◽  
X. Gu ◽  
Y. J. Chen ◽  
...  

Abstract(Quasi-)one-dimensional systems exhibit various fascinating properties such as Luttinger liquid behavior, Peierls transition, novel topological phases, and the accommodation of unique quasiparticles (e.g., spinon, holon, and soliton, etc.). Here we study molybdenum blue bronze A0.3MoO3 (A = K, Rb), a canonical quasi-one-dimensional charge-density-wave material, using laser-based angle-resolved photoemission spectroscopy. Our experiment suggests that the normal phase of A0.3MoO3 is a prototypical Luttinger liquid, from which the charge-density-wave emerges with decreasing temperature. Prominently, we observe strong renormalizations of band dispersions, which are recognized as the spectral function of Holstein polaron derived from band-selective electron-phonon coupling in the system. We argue that the strong electron-phonon coupling plays an important role in electronic properties and the charge-density-wave transition in blue bronzes. Our results not only reconcile the long-standing heavy debates on the electronic properties of blue bronzes but also provide a rare platform to study interesting excitations in Luttinger liquid materials.


1996 ◽  
Vol 34 (5) ◽  
pp. 367-372 ◽  
Author(s):  
D Poilblanc ◽  
T Sakai ◽  
D. J Scalapino ◽  
W Hanke

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