Introduction to the Bethe ansatz II

Details Introduction to the Bethe ansatz II Introduction to the Bethe ansatz II

1998-09-10

arxiv.org/abs/cond-mat/9809163v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures

Scientific paper

10.1063/1.168740

Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s=1/2 Heisenberg antiferromagnet in zero and nonzero magnetic field. The 2-spinon triplet and singlet excitations from the zero-field ground state are discussed in detail, and their energies are calculated for finite and infinite chains. Procedures for the numerical calculation of real and complex solutions of the Bethe ansatz equations are discussed and applied. The paper is designed as a tutorial for beginning graduate students. It includes 10 problems for further study.

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