Degeneracy of Ground State in Two-dimensional Electron-Lattice System
Tetsuya Hamano, Yoshiyuki Ono
Abstract
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 NN/4 for N 1 with N the linear dimension of the system.
Create a lesson
Related papers
Necessary conditions for benchmarking next-generation AI in materials discovery
Daniel E Widdowson, Tatiana V Kurlina, Olga D Anosova et al.
Doubly Metastable Synthesis for Accelerated Quantum Materials Discovery
Kyuho Lee, Berit H. Goodge, Soonhyun Kwon et al.
Phononic Frequency Combs in Twisted Bilayer Transition Metal Dichalcogenide Heterostructures from First Principles
Naman Arora, Adarsh Ganesan
Improved screening of doped ZrO2 catalysts for CO2 hydrogenation from graph-based machine learning
Karsten Walz Jensen, Mie Andersen, Raffaele Cheula
Dislocation mediated twin boundary faceting in β-Sn
John Israel, Ian Chesser, Khanh Dang et al.
Ferroelectric Domain-Wall Motion, Stability, and Frequency Responses under Different Screening-Charge Conservation Laws
Sergei V. Kalinin