Two-dimensional spin-1/2 Heisenberg antiferromagnet: A quantum Monte Carlo study

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.43.3562· OSTI ID:5752001

Makivic, M S; Ding, H ^[1]

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1. Department of Physics, California Institute of Technology, Pasadena, California 91125 (US)

Spin-1/2 nearest-neighbor Heisenberg antiferromagnet on a square lattice is studied via a large-scale quantum Monte Carlo simulation. We developed a fast and efficient multispin coding algorithm on a parallel supercomputer, based on the Suzuki-Trotter transformation. We performed high-statistics simulations on lattices as large as 128{times}128 spins, in the temperature range from 0.25{ital J} to 2.5{ital J}. We calculated energy, specific heat, uniform and staggered susceptibility, and staggered correlation function, from which we deduce the correlation length. For temperatures higher than {ital J}, the results are in excellent agreement with high-temperature series expansion. At low temperatures the long-wavelength behavior is essentially classical. Our data show that the correlation length and staggered susceptibility are quantitatively well described by the renormalized classical picture at the two-loop level of approximation. From the divergence of correlation length, we deduce the value of quantum-renormalized spin stiffness, {rho}{sub {ital s}}/{ital J}=0.199(2). We give evidence that the correlation function is of Ornstein-Zernike type. By comparing the largest measured correlation lengths with neutron scattering experiments on La{sub 2}CuO{sub 4}, we deduce the value of effective exchange coupling {ital J}=1450{plus minus}30 K.

• DOE Contract Number: FG03-85ER25009
• OSTI ID: 5752001
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:4; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
COHERENCE LENGTH
COHERENT SCATTERING
CORRELATION FUNCTIONS
CRYSTAL MODELS
DIFFRACTION
DIMENSIONS
ENERGY
FUNCTIONS
HEISENBERG MODEL
LENGTH
MAGNETIC MATERIALS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATERIALS
MATHEMATICAL MODELS
MONTE CARLO METHOD
NEUTRON DIFFRACTION
PHYSICAL PROPERTIES
SCATTERING
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
TWO-DIMENSIONAL CALCULATIONS