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

Journal Article · Mon Mar 13 04:00:00 EST 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.1310· OSTI ID:6228961

Manousakis, E; Salvador, R

We study the continuum limit of the nonlinear sigma 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 sigma 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/sub 2/CuO/sub 4/. .AE

• Research Organization: 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
• OSTI ID: 6228961
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:11; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
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Cermets
& Refractories-- Physical Properties
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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
CHALCOGENIDES
COPPER COMPOUNDS
COPPER OXIDES
CORRELATIONS
CRYSTAL MODELS
EUCLIDEAN SPACE
FILMS
HEISENBERG MODEL
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MONTE CARLO METHOD
NONLINEAR PROBLEMS
OXIDES
OXYGEN COMPOUNDS
PARTICLE MODELS
RIEMANN SPACE
SIGMA MODEL
SIMULATION
SPACE
SUPERCONDUCTORS
THIN FILMS
THREE-DIMENSIONAL CALCULATIONS
TRANSITION ELEMENT COMPOUNDS