Degeneracy of Ground State in Two-Dimensional Electron-Lattice System.

  • Hamano Tetsuya
    Department of Physics, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510
  • Ono Yoshiyuki
    Department of Physics, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510

書誌事項

公開日
2001
DOI
  • 10.1143/jpsj.70.1849
  • 10.48550/arxiv.cond-mat/0104484
公開者
一般社団法人 日本物理学会

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説明

We discuss the ground state of a two dimensional electron-lattice system described by a Su-Schrieffer-Heeger type Hamiltonian with a half-filled electronic band, for which it has been pointed out in the previous paper [J. Phys. Soc. Jpn. 69 (2000) 1769-1776] that the ground state distortion pattern is not unique in spite of a unique electronic energy spectrum and the same total energy. The necessary and sufficient conditions to be satisfied by the distortion patterns in the ground state are derived numerically. As a result the degrees of degeneracy in the ground state is estimated to be about $N^{N/4}$ for $N \gg 1$ with $N$ the linear dimension of the system.

2pages, 2figures

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