Ring Exchange and the Heisenberg and Hubbard Models

Chemistry

• Hubbard Model 86%
• Heisenberg Model 79%
• Correlation Function 21%
• Luttinger Liquid 16%
• Electron Spin 13%
• Ground State 12%
• Surface 2%

Engineering & Materials Science

• Hubbard model 100%
• Ground state 36%
• Fermi surface 27%
• Wave functions 16%
• Phase transitions 12%
• Fourier transforms 12%
• Convolution 12%
• Liquids 8%

Physics & Astronomy

• rings 33%
• permutations 29%
• occupation 12%
• infinity 12%
• ground state 8%
• transition points 6%
• convolution integrals 6%
• Fermi surfaces 5%
• routes 5%
• decay 3%
• liquids 3%
• excitation 2%