Geodesic
Exact solution for the~thermodynamics of the~one-dimensional Hubbard model with infinite repulsion in a~magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 94-111

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We demonstrate that in the limit of infinite repulsion in a magnetic field, the canonical partition function of the one-dimensional Hubbard model in the nearest-neighbor approximation factors into the product of partition functions of holons and spinons, which can be calculated exactly. We thus obtain exact numerical dependences of the free energy, entropy, internal energy, specific heat, chemical potential, and magnetic susceptibility on the hole concentration, temperature, and magnetic field induction.
Keywords: Hubbard model, magnetic field, infinite repulsion, thermodynamics
Mots-clés : exact solution. 
@article{TMF_2014_180_1_a7,
     author = {K. A. Sidorov and N. V. Tikhonov and S. G. Ovchinnikov},
     title = {Exact solution for the~thermodynamics of the~one-dimensional {Hubbard} model with infinite repulsion in a~magnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {94--111},
     publisher = {mathdoc},
     volume = {180},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a7/}
}
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K. A. Sidorov; N. V. Tikhonov; S. G. Ovchinnikov. Exact solution for the~thermodynamics of the~one-dimensional Hubbard model with infinite repulsion in a~magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 94-111. http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a7/