Two-dimensional spin-1/2 antiferromagnetic Heisenberg model versus nonlinear <i>σ</i> model

Efstratios Manousakis; Román Salvador

doi:10.1103/PhysRevLett.62.1310

Two-dimensional spin-1/2 antiferromagnetic Heisenberg model versus nonlinear σ model

Efstratios Manousakis and Román Salvador

Phys. Rev. Lett. 62, 1310 – Published 13 March 1989

Abstract

We study the continuum limit of the nonlinear σ model in 2+1 dimensions and at finite temperature T, using Monte Carlo simulation on large lattices. Even though the lattice spacing vanishes, dimensional transmutation occurs which makes the correlation lengths finite. With the assumption that the σ model and the spin-(1/2 antiferromagnetic Heisenberg model are equivalent at low T, we make contact between the two models and find that the latter model must order at T=0. Our results are consistent with neutron-scattering experiments done on ${La}_{2}$ ${CuO}_{4}$ . .AE

Received 7 October 1988

DOI:https://doi.org/10.1103/PhysRevLett.62.1310

Authors & Affiliations

Efstratios Manousakis and Román Salvador

Department of Physics, Center for Materials Research and Technology Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 and Control Data Corporation, Professional Services Division and Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306