Geodesic
Vacuum structure of $(\overline \psi \psi )^2_3$-model with accounting for the magnetic field and chemical potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 390-400 
A. S. Vshivtsev; K. G. Klimenko; B. V. Magnitsky. Vacuum structure of $(\overline \psi \psi )^2_3$-model with accounting for the magnetic field and chemical potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 390-400. http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a2/
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     author = {A. S. Vshivtsev and K. G. Klimenko and B. V. Magnitsky},
     title = {Vacuum structure of $(\overline \psi \psi )^2_3$-model with accounting for the magnetic field and chemical potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {390--400},
     year = {1996},
     volume = {106},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a2/}
}
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The phase structure of $(2+1)$-dimensional field theory with a quartic fermion interaction is investigated with accounting for the background magnetic field $H$ and chemical potential $\mu$. It is shown that there is a critical curvature $\mu=\mu_c(H)$, which separates the multitude of the points $(\mu,H)$ into two regions. In one of them the vacuum is chiral-symmetric, and in the other the symmetry is spontaneously broken. The behavior of the critical curvature at large and small magnitudes of a background field is analyzed.

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