Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-02-08
Nucl.Phys. B639 (2002) 411-428
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 1 figure
Scientific paper
10.1016/S0550-3213(02)00481-9
Phase transitions can occur in one-dimensional classical statistical mechanics at non-zero temperature when the number of components N of the spin is infinite. We show how to solve such magnets in one dimension for any N, and how the phase transition develops at N = infinity. We discuss SU(N) and Sp(N) magnets, where the transition is second-order. In the new high-temperature phase, the correlation length is zero. We also show that for the SU(N) magnet on exactly three sites with periodic boundary conditions, the transition becomes first order.
Fendley Paul
Tchernyshyov Oleg
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