Exponential decay of correlation functions in many-electron systems
For a class of tight-binding many-electron models on hypercubic lattices, the equal-time correlation functions at nonzero temperature are proved to decay exponentially in the distance between the center of positions of the electrons and the center of positions of the holes. The decay bounds hold in...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
29 June 2010
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| In: |
Journal of mathematical physics
Year: 2010, Volume: 51, Issue: 6, Pages: 1-40 |
| ISSN: | 1089-7658 |
| DOI: | 10.1063/1.3409395 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1063/1.3409395 Verlag, lizenzpflichtig, Volltext: https://aip.scitation.org/doi/10.1063/1.3409395 
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| Author Notes: | Yohei Kashima |
| Summary: | For a class of tight-binding many-electron models on hypercubic lattices, the equal-time correlation functions at nonzero temperature are proved to decay exponentially in the distance between the center of positions of the electrons and the center of positions of the holes. The decay bounds hold in any space dimension in the thermodynamic limit if the interaction is sufficiently small depending on temperature. The proof is based on the U(1)-invariance property and volume-independent perturbative bounds of the finite dimensional Grassmann integrals formulating the correlation functions. |
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| Item Description: | Gesehen am 02.03.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1089-7658 |
| DOI: | 10.1063/1.3409395 |