Long-range order in quantum lattice systems of linear oscillators

  • W. I. Skrypnik


The existence of the ferromagnetic long-range order is proved for equilibrium quantum lattice systems of linear oscillators whose potential energy contains a strong ferromagnetic nearest-neighbor (nn) pair interaction term and a weak nonferromagnetic term under a special condition on a superstability bound. It is shown that the long-range order is possible if the mass of a quantum oscillator and the strength of the ferromagnetic nn interaction exceed special values. A generalized Peierls argument and a contour bound, proved with the help of a new superstability bound for correlation functions, are our main tools.
How to Cite
Skrypnik, W. I. “Long-Range Order in Quantum Lattice Systems of Linear Oscillators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 10, Oct. 2006, pp. 1407–1424, https://umj.imath.kiev.ua/index.php/umj/article/view/3542.
Research articles