Existence of Neel order at T =0 in the spin-1/2 antiferromagnetic Heisenberg model on a square lattice
Journal Article
·
· Physical Review, B: Condensed Matter; (USA)
- 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
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
HIGH-TC SUPERCONDUCTORS
ANTIFERROMAGNETISM
CORRELATION FUNCTIONS
GROUND STATES
HEISENBERG MODEL
MONTE CARLO METHOD
SPIN WAVES
CRYSTAL MODELS
ENERGY LEVELS
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656100* - Condensed Matter Physics- Superconductivity