Abstract
One-dimensional models with 1/r 2 exchange have long been studied [1, 2] and have attracted renewed interest since the introduction of the spin-1/2 1/r 2-Heisenberg or Haldane-Shastry chain [3, 4] for which the ground state wave function [3, 4], the ground state correlation function [5, 2, 6] and the free energy [7, 8] are known exactly. The algebraic structure of these long-range models can be studied in detail [8, 9, 10] and even their dynamical structure factors have recently been found [11, 12, 13].
In collaboration with Andreas Girndt, Dept. of Physics, Philipps University Marburg, and Andrei E. Ruckenstein, Serin Physics Laboratory, Department of Physics, Rutgers University, P.O. Box 849, Piscataway, NJ 08855-0849, USA.
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Gebhard, F. (1995). Thermodynamical Properties of the Exactly Solvable 1/r-Hubbard- and 1/r-tJ-Model. In: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (eds) The Hubbard Model. NATO ASI Series, vol 343. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1042-4_3
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