Physics – Condensed Matter
Scientific paper
1999-07-20
Phys.Rev.D61:034501,2000
Physics
Condensed Matter
28 pages plus 7 postscript figures
Scientific paper
10.1103/PhysRevD.61.034501
The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method to adaptate the Hybrid Monte Carlo algorithm to the O(3) non-linear $\sigma$ model constraint. The charged excitations in the various phases are studied at the Mean-Field lev el. Bound states of two charged fermions are found in a strongly coupled {\it paramagnetic} phase. On the other hand, in the strongly coupled antiferromagnetic phase fermionic excitations around momenta $(\pm\frac{\pi}{2},\pm\frac{\pi}{2},\pm\frac{\pi}{2})$ emerge.
Alonso Jose L.
Boucaud Ph.
der Sijs J. van A.
Martin-Mayor Victor
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