Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

Journal Article · Fri Jun 01 04:00:00 EDT 2001 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.1356040· OSTI ID:40204046

Vassiliev, O N; Cottam, M G; Rojdestvenski, I V

The thermodynamic properties and critical behavior of a Heisenberg ferromagnet in two dimensions are studied using the Handscomb quantum Monte Carlo method. The spins (with quantum number S=1/2) are arranged on a square lattice and have a long-range interaction with a power-law decrease, J(r){proportional_to}r{sup {minus}p}, with distance r. The parameter p is taken to be in the range 2{lt}p{le}6. The system has an ordering transition at a nonzero temperature T{sub c} when 2{lt}p{lt}4. The dependence of T{sub c} on p and the critical behavior of the susceptibility are investigated. Properties of spin correlation functions in different regimes (of p and T) are discussed. The results are compared with previous approximate analytic quantum theories. {copyright} 2001 American Institute of Physics.

• Sponsoring Organization: (US)
• OSTI ID: 40204046
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 11 Vol. 89; ISSN 0021-8979
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
DIMENSIONS
INTERACTION RANGE
MONTE CARLO METHOD
PHYSICS
QUANTUM NUMBERS
SPIN
THERMODYNAMIC PROPERTIES