Existence of Neel order at T =0 in the spin-1/2 antiferromagnetic Heisenberg model on a square lattice

Journal Article · Mon Oct 01 00:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.6555· OSTI ID:6391078

Liang, S ^[1]

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1. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL (USA) Material Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL (USA)

It is known that if the ground state of the spin-{1/2} antiferromagnetic Heisenberg model is not Neel ordered, the two-point function must satisfy an upper bound. In this paper, the spin-spin correlation function for the ground state is computed on a 32{times}32 square lattice using a projection Monte Carlo method. The correlation function at short distance (about four lattice spacing) violates this bound, which implies that the ground state must have long-ranged Neel order. I have also estimated the staggered magnetization to be {ital m}{sup +}=0.304{plus minus}0.004 in the thermodynamic limit.

• OSTI ID: 6391078
• Journal Information: Physical Review, B: Condensed Matter; (USA), Vol. 42:10; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HIGH-TC SUPERCONDUCTORS
ANTIFERROMAGNETISM
CORRELATION FUNCTIONS
GROUND STATES
HEISENBERG MODEL
MONTE CARLO METHOD
SPIN WAVES
CRYSTAL MODELS
ENERGY LEVELS
FUNCTIONS
MAGNETISM
MATHEMATICAL MODELS
SUPERCONDUCTORS
656100* - Condensed Matter Physics- Superconductivity