Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice

Details Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice

2005-12-12

arxiv.org/abs/cond-mat/0512244v2

Physical Review B 73, 172407 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.73.172407

We propose a versatile approach to treat commonly arising constraints. It is illustrated for interacting magnons of the Heisenberg antiferromagnet on a square lattice. For systems of $L\times L$ sites a non-perturbative continuous unitary transformation (CUT) is used to derive an effective Hamiltonian conserving the number of magnons. They are bosonic particles with a hardcore constraint which is captured by a local, repulsive interaction U. The limits $U\to\infty$ and $L\to\infty$ are achieved by extrapolation. The residual spin gap $\Delta_1$ is smaller than 0.01J reflecting the gapless nature of the magnons. The one-magnon dispersion displays all known characteristics.

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