Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-09-10
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.
Hu Kun
Karbach Michael
Müller Gerhard
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