Collective excitations in two-dimensional antiferromagnet in strong magnetic field

Details Collective excitations in two-dimensional antiferromagnet in strong magnetic field Collective excitations in two-dimensional antiferromagnet in strong magnetic field

2008-08-15

arxiv.org/abs/0808.2127v3

Phys. Rev. B 79, 054413 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 5 figures. Final version

Scientific paper

10.1103/PhysRevB.79.054413

We discuss spin-$\frac12$ two-dimensional (2D) Heisenberg antiferromagnet (AF) on a square lattice at T=0 in strong magnetic field H near its saturation value $H_c$. A perturbation approach is proposed to obtain spectrum of magnons with momenta not very close to AF vector in the leading order in small parameter $(H_c-H)/H_c$. We find that magnons are well-defined quasi-particles at $H>0.9H_c$ although the damping is quite large near the zone boundary. A characteristic rotonlike local minimum in the spectrum is observed at ${\bf k}=(\pi,0)$ accompanied by decrease of the damping near $(\pi,0)$. The suggested approach can be used in discussion of short-wavelength excitations in other 2D Bose gases of particles or quasi-particles.

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