Abstract:
A generalized Wick theorem is formulated for the Hubbard model. According to the theorem, the mean value of the time-ordered product of electron operators is represented as a sum of products of single-site cumulants. The theorem is used to construct a diagram technique for the temperature-dependent Green's functions. A Dyson equation for the single-particle Green's function and an expression for the free energy are obtained.
Citation:
M. I. Vladimir, V. A. Moskalenko, “Diagram technique for the Hubbard model”, TMF, 82:3 (1990), 428–437; Theoret. and Math. Phys., 82:3 (1990), 301–308
This publication is cited in the following 85 articles:
Alexei Sherman, “Density of States of the Hubbard Model Supplemented with the Quantizing Magnetic Field”, J Low Temp Phys, 2025
I. D. Chebotar', “Systems of Strongly Correlated Electrons Interacting with Each Other and with Phonons: Diagrammatic Approach”, Surf. Engin. Appl.Electrochem., 60:1 (2024), 94
Alexei Sherman, “Hubbard Model on a Triangular Lattice at Finite Temperatures”, J Low Temp Phys, 216:5-6 (2024), 800
A Sherman, “Two-dimensional extended Hubbard model: doping, next-nearest neighbor hopping and phase diagrams”, Phys. Scr., 98:11 (2023), 115947
A Sherman, “Two-dimensional extended Hubbard model at half-filling”, Phys. Scr., 98:6 (2023), 065802
A. Sherman, “Phonon-assisted phase separation in strongly correlated systems”, Int. J. Mod. Phys. B, 36:16 (2022)
Alexei Sherman, “Low-Frequency Magnetic Oscillations Induced by Strong Electron Correlations”, J Low Temp Phys, 209:1-2 (2022), 96
Nguen Dan Tung, Artem A. Vladimirov, Nikolay M. Plakida, “Electronic spectrum and superconductivity in the extended t–J–V model”, Physica C: Superconductivity and its Applications, 587 (2021), 1353900
A Sherman, “Absence of superconductivity in the repulsive Hubbard model on a square lattice in the regime of strong coupling”, Phys. Scr., 96:9 (2021), 095804
Alexei Sherman, “Magnetic Properties and Superconductivity in the Two-Dimensional Repulsive Hubbard Model”, J. Phys. Soc. Jpn., 90:10 (2021), 104707
A Sherman, “Negative electron compressibility in the Hubbard model”, Phys. Scr., 95:1 (2020), 015806
Alexei Sherman, “Spin and charge fluctuations in the two-band Hubbard model”, Eur. Phys. J. B, 93:9 (2020)
Andreas Bill, Vladimir Hizhnyakov, Reinhard K. Kremer, Götz Seibold, Aleksander Shelkan, Alexei Sherman, “Phase Separation and Pairing Fluctuations in Oxide Materials”, Condensed Matter, 5:4 (2020), 65
A Sherman, “Hubbard-Kanamori model: spectral functions, negative electron compressibility, and susceptibilities”, Phys. Scr., 95:9 (2020), 095804
A Sherman, “The t-t′-t″-U Hubbard model and Fermi-level peak”, Phys. Scr., 94:5 (2019), 055802
Alexei Sherman, “Magnetic properties and temperature variation of spectra in the Hubbard model”, Eur. Phys. J. B, 92:3 (2019)
T Farajollahpour, S A Jafari, “Semiconductor of spinons: from Ising band insulator to orthogonal band insulator”, J. Phys.: Condens. Matter, 30:1 (2018), 015602
A Sherman, “Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model”, J. Phys.: Condens. Matter, 30:19 (2018), 195601
Alexei Sherman, “Continuum of many-particle states near the metal-insulator transition in the Hubbard model”, Eur. Phys. J. B, 90:6 (2017)
A. Sherman, “Spin and charge fluctuations in the Hubbard model”, Journal of Magnetism and Magnetic Materials, 440 (2017), 97
Citation in format AMSBIB
Contact us: