Exact solution for the thermodynamics of the one-dimensional Hubbard model with infinite repulsion in a magnetic field

K. A. Sidorov^ab, N. V. Tikhonov^a, S. G. Ovchinnikov<sup>ba

a</sup> Siberian Federal University, Krasnoyarsk, Russia
^b Kirensky Institute of Physics, Siberian Branch, RAS, Krasnoyarsk, Russia

Abstract: 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, exact solution.

Received: 28.11.2013
Revised: 02.02.2014

DOI: 10.4213/tmf8619

 English version: Theoretical and Mathematical Physics, 2014, 180:1, 825–849

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