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Updated: Apr 27, 2026
12:11
Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
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Linked-cluster expansion for the Green's function of the infinite-U Hubbard model
Ehsan Khatami1, Edward Perepelitsky2, Marcos Rigol3
1Department of Physics, University of California, Santa Cruz, California 95064, USA and Department of Physics, University of California, Davis, California 95616, USA.
Summary
This study develops an efficient strong-coupling expansion for the Hubbard model
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Theory
Background:
- The Hubbard model is a fundamental model in condensed matter physics.
- Understanding strongly correlated electron systems is crucial for many materials.
Purpose of the Study:
- To develop a highly efficient strong-coupling expansion for the Green's function of the Hubbard model.
- To analyze the properties of the Hubbard model in the limit of infinite onsite interaction.
Main Methods:
- Implemented a strong-coupling expansion to the eighth order.
- Computed the finite-temperature Green's function analytically in momentum and Matsubara frequency space.
- Utilized Padé approximations for analyzing various physical quantities.
Main Results:
- Calculated the equation of state, Kelvin thermopower, momentum distribution, quasiparticle fraction, and lifetime.
- Investigated the system near half filling, focusing on spectral functions.
- Benchmarked equation of state results against numerical linked-cluster expansion.
Conclusions:
- The strong-coupling expansion provides an efficient method for studying the Hubbard model.
- The results offer insights into the behavior of strongly correlated electron systems.
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