Diluted quantum antiferromagnets: spin excitations and long-range order

Details Diluted quantum antiferromagnets: spin excitations and long-range order Diluted quantum antiferromagnets: spin excitations and long-range order

2001-07-24

arxiv.org/abs/cond-mat/0107488v1

Phys. Rev. B 65, 104407 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

24 pages, 15 figures, RevTeX. Some of the results presented here were briefly reported in our previous paper: cond-mat/0008412

Scientific paper

10.1103/PhysRevB.65.104407

We have studied the static and dynamic magnetic properties of two-dimensional (2D) and quasi-two-dimensional, spin-S, quantum Heisenberg antiferromagnets (QHAF) diluted with spinless vacancies. Using spin-wave theory and T-matrix approximation we have calculated the staggered magnetization, M(x,T), the neutron scattering dynamical structure factor, S(k,omega), the 2D magnetic correlation length, \xi(x,T), and the Neel temperature, T_N(x), for the quasi-2D case. We find that in 2D the hydrodynamic description of excitations in terms of spin-waves breaks down at the wavelength larger than \ell/a ~ exp(\pi/4x), x being impurity concentration and "a" the lattice spacing. The density of states acquires a constant term and exhibits an anomalous peak at omega omega_0 associated with the low-energy localized excitations. These anomalies lead to a substantial enhancement of the magnetic specific heat, C_M, at low temperatures. Although the dynamical properties are significantly modified we show that 2D is not the lower critical dimension for this problem. Our results are in quantitative agreement with the recent Monte Carlo simulations and experimental data for S=1/2, S=1, and S=5/2.

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