EFFECTIVE LATTICE MODELS FOR TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS

10 September 1990

journal article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters B

Vol. 4 (16) , 1043-1052
https://doi.org/10.1142/s0217984990001318

Abstract

We introduce a 2+1 dimensional lattice model, S₀, of N complex scalars coupled to a compact U(1) gauge field as a description of quantum fluctuations in SU(N) antiferromagnets. Duality maps are used to obtain a single effective action for the Néel and spin-Peierls order parameters. We examine the phases of S₀ as a function of N: the N→∞ limit can be deduced from previous work. At N=1, S₀ describes monopoles and their Berry phases, spin-Peierls order, but not the Néel field: Monte-Carlo simulations show a second-order transition from a spin-Peierls phase to a Higgs phase which is the remnant of the Néel phase.

Keywords

MONTE CARLO SIMULATION
EFFECTIVE ACTION
BERRY PHASE
QUANTUM FLUCTUATION
SECOND ORDER
GAUGE FIELD
LATTICE MODEL

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