Particle-hole transformations and sum rules for the Hubbard model |
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| Affiliation: | 1. Theoretical Physics Department, Oxford University, Keble Road, Oxford OX1 3NP, UK;2. Department of Physics, Beijing University, Beijing, China;1. Institute for Advanced Study, Tsinghua University, Beijing 100084, China;2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;1. School of Physics, Beijing Institute of Technology, Beijing 100081, China;2. National Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;3. Center for Applied Physics and Technology, Peking University, Beijing 100084, China;1. Wuhan National Laboratory for Optoelectronics, Huazhong Institute of Electro-Optics, Wuhan 430223, China;2. Wuhan National Laboratory for Optoelectronics, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China;3. College of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China;1. Departamento de Fíõsica de Partículas and IGFAE, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Galicia-Spain;2. Department of Physics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel;3. Physics Department, University of Connecticut, 2152 Hillside Road, Storrs, CT 06269-3046, USA |
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| Abstract: | By applying the partial particle-hole and the particle-hole unitary transformations to the Hubbard model, we establish several new sum rules for the Hubbard model defined on a bipartite lattice. |
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