Hard-core magnons in the S=1/2 Heisenberg model on the square lattice

Schmidt KP (2006)


Publication Status: Published

Publication Type: Journal article

Publication year: 2006

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 73

Journal Issue: 17

DOI: 10.1103/PhysRevB.73.172407

Abstract

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 LxL sites a nonperturbative continuous unitary transformation (CUT) is used to derive an effective Hamiltonian conserving the number of magnons. They are bosonic particles with a hard-core constraint which is captured by a local, repulsive interaction U. The limits U ->infinity and L ->infinity 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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How to cite

APA:

Schmidt, K.P. (2006). Hard-core magnons in the S=1/2 Heisenberg model on the square lattice. Physical Review B, 73(17). https://doi.org/10.1103/PhysRevB.73.172407

MLA:

Schmidt, Kai Phillip. "Hard-core magnons in the S=1/2 Heisenberg model on the square lattice." Physical Review B 73.17 (2006).

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