Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets

Details Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets

2008-10-12

arxiv.org/abs/0810.2083v1

Phys. Rev. B 75, 174520 (2007).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.75.174520

We derive a lattice $\beta$-function for the 2d-Antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative Quantum Monte Carlo vacuum to be related directly to the zero-temperature fixed points of the nonlinear sigma model in the presence of strong interplanar and spin anisotropies. In addition to the usual renormalization of the gapful disordered state in the vicinity of the quantum critical point, we show that this leads to a chiral doubling of the spectra of excited states.

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