Definition and statistical distributions of a topological number in the lattice O(3) σ-model

Equation of State Calculations by Fast Computing Machines

N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics · 1953 · 36.5K citations

Numerical Analysis, Engineering, Material Simulation +22

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields

A. Polyakov · Physics Letters B · 1975 · 1.1K citations

Engineering, Physics, Quantum Field Theory +6

A expandable series of non-linear σ models with instantons

A. D’Adda, Martin Lüscher, P. Di Vecchia · Nuclear Physics B · 1978 · 722 citations

Integrable Probability, Generalized Function, Mathematical Modelling +1

Spontaneous breakdown of continuous symmetries near two dimensions

E. Brézin, Jean Zinn‐Justin · Physical review. B, Solid state · 1976 · 623 citations

Engineering, Spontaneous Breakdown, Physics +11

Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensions

Stephen H. Shenker, Jan Tobochnik · Physical review. B, Condensed matter · 1980 · 252 citations

Quantum Science, Spintronics, Quantum Lattice System +15