Many-polaron states in the Holstein-Hubbard model

被引:0
|
作者
Proville, L
Aubry, S
机构
[1] Univ Paris 07, CNRS, UMR 7588, Phys Solides Grp, F-75251 Paris 05, France
[2] Univ Paris 06, F-75251 Paris, France
[3] CEA Saclay, CNRS, Leon Brillouin Lab, F-91191 Gif Sur Yvette, France
关键词
polaron; bipolaron; Holstein; Hubbard;
D O I
10.1023/A:1014046105860
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A variational approach is proposed to study some properties of the adiabatic Holstein-Hubbard model which describes an assembly of fermionic charges interacting with a static atomic lattice. The sum of the electronic energy and the lattice elastic energy is proved to have minima with a many-polaron structure in a certain domain of model parameters. Our analytical work consists in expanding these energy minima from the zero electronic transfer limit which remarkably holds for a finite amplitude of the onsite Hubbard repulsion and for an unbounded lattice size.
引用
收藏
页码:1185 / 1195
页数:11
相关论文
共 50 条
  • [1] Many-Polaron States in the Holstein–Hubbard Model
    Laurent Proville
    Serge Aubry
    [J]. Journal of Statistical Physics, 2002, 106 : 1185 - 1195
  • [2] Many-polaron effects in the Holstein model
    Datta, S
    Das, A
    Yarlagadda, S
    [J]. PHYSICAL REVIEW B, 2005, 71 (23)
  • [3] POLARON FORMATION AND HOPPING CONDUCTIVITY IN THE HOLSTEIN-HUBBARD MODEL
    FEHSKE, H
    IHLE, D
    LOOS, J
    TRAPPER, U
    BUTTNER, H
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1994, 94 (1-2): : 91 - 100
  • [4] Field-induced polaron formation in the Holstein-Hubbard model
    Werner, Philipp
    Eckstein, Martin
    [J]. EPL, 2015, 109 (03)
  • [5] BI-/POLARON FORMATION AND OPTICAL CONDUCTIVITY IN THE HOLSTEIN-HUBBARD MODEL
    IHLE, D
    FEHSKE, H
    LOOS, J
    TRAPPER, U
    [J]. PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 1994, 235 : 2363 - 2364
  • [6] Berry phases and pairing symmetry in Holstein-Hubbard polaron systems
    Yonemitsu, K
    Zhong, J
    Schüttler, HB
    [J]. PHYSICAL REVIEW B, 1999, 59 (02): : 1444 - 1467
  • [7] POLARONIC ANHARMONICITY IN THE HOLSTEIN-HUBBARD MODEL
    ZHONG, J
    SCHUTTLER, HB
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (10) : 1600 - 1603
  • [8] Ground State Properties of the Holstein-Hubbard Model
    Miyao, Tadahiro
    [J]. ANNALES HENRI POINCARE, 2018, 19 (08): : 2543 - 2555
  • [9] Dynamic response functions for the Holstein-Hubbard model
    Koller, W
    Meyer, D
    Hewson, AC
    [J]. PHYSICAL REVIEW B, 2004, 70 (15): : 155103 - 1
  • [10] Strong Coupling Limit of the Holstein-Hubbard Model
    Han, Zhaoyu
    Kivelson, Steven A.
    Yao, Hong
    [J]. PHYSICAL REVIEW LETTERS, 2020, 125 (16)